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<front>
<journal-meta>
<journal-id journal-id-type="pmc">EE</journal-id>
<journal-id journal-id-type="nlm-ta">EE</journal-id>
<journal-id journal-id-type="publisher-id">EE</journal-id>
<journal-title-group>
<journal-title>Energy Engineering</journal-title>
</journal-title-group>
<issn pub-type="epub">1546-0118</issn>
<issn pub-type="ppub">0199-8595</issn>
<publisher>
<publisher-name>Tech Science Press</publisher-name>
<publisher-loc>USA</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">73437</article-id>
<article-id pub-id-type="doi">10.32604/ee.2025.073437</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Article</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Effect of Thermoelectric Cooler Arrangements on Thermal Performance and Energy Saving in Electronic Applications: An Experimental Study</article-title>
<alt-title alt-title-type="left-running-head">Effect of Thermoelectric Cooler Arrangements on Thermal Performance and Energy Saving in Electronic Applications: An Experimental Study</alt-title>
<alt-title alt-title-type="right-running-head">Effect of Thermoelectric Cooler Arrangements on Thermal Performance and Energy Saving in Electronic Applications: An Experimental Study</alt-title>
</title-group>
<contrib-group>
<contrib id="author-1" contrib-type="author">
<name name-style="western"><surname>Ameer</surname><given-names>M. N. Abd-Al</given-names></name></contrib>
<contrib id="author-2" contrib-type="author">
<name name-style="western"><surname>Kareem</surname><given-names>Iman S.</given-names></name></contrib>
<contrib id="author-3" contrib-type="author" corresp="yes">
<name name-style="western"><surname>Ismaeel</surname><given-names>Ali A.</given-names></name><email>50106@uotechnology.edu.iq</email></contrib>
<aff id="aff-1"><institution>Department of Electromechanical Engineering, University of Technology-Iraq</institution>, <addr-line>Baghdad, 10066</addr-line>, <country>Iraq</country></aff>
</contrib-group>
<author-notes>
<corresp id="cor1"><label>&#x002A;</label>Corresponding Author: Ali A. Ismaeel. Email: <email>50106@uotechnology.edu.iq</email></corresp>
</author-notes>
<pub-date date-type="collection" publication-format="electronic">
<year>2026</year>
</pub-date>
<pub-date date-type="pub" publication-format="electronic">
<day>27</day><month>12</month><year>2025</year>
</pub-date>
<volume>123</volume>
<issue>1</issue>
<elocation-id>24</elocation-id>
<history>
<date date-type="received">
<day>18</day>
<month>09</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>21</day>
<month>10</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>&#x00A9; 2026 The Authors.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>Published by Tech Science Press.</copyright-holder>
<license xlink:href="https://creativecommons.org/licenses/by/4.0/">
<license-p>This work is licensed under a <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0 International License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
</license>
</permissions>
<self-uri content-type="pdf" xlink:href="TSP_EE_73437.pdf"></self-uri>
<abstract>
<p>Electrical and electronic devices face significant challenges in heat management due to their compact size and high heat flux, which negatively impact performance and reliability. Conventional cooling methods, such as forced air cooling, often struggle to transfer heat efficiently. In contrast, thermoelectric coolers (TECs) provide an innovative active cooling solution to meet growing thermal management demands. In this research, a refrigerant based on mono ethylene glycol and distilled water was used instead of using gases, in addition to using thermoelectric cooling units instead of using a compressor in traditional refrigeration systems. This study evaluates the performance of a Peltier-based thermal management system by analyzing the effects of using two, three, and four Peltier modules on cooling rates, power consumption, temperature reduction, and system efficiency. Experimental results indicate that increasing the number of Peltier modules significantly enhances cooling performance. The four-module system achieved an optimal balance between cooling speed and energy efficiency, reducing the temperature of a liquid mixture (30% mono ethylene glycol &#x002B; 70% distilled water plus laser dyes) to 8&#x00B0;C in just 17 min. It demonstrated a cooling rate of 0.794&#x00B0;C/min and a high coefficient of performance (COP) of 1.2 while consuming less energy than the two-and three-module systems. Furthermore, the study revealed that increasing the number of modules led to faster air cooling and improved temperature reduction. These findings highlight the importance of selecting the optimal number of Peltier modules to enhance efficiency and cooling speed while minimizing energy consumption. This makes TEC technology a sustainable and effective solution for applications requiring rapid and reliable thermal management.</p>
</abstract>
<kwd-group kwd-group-type="author">
<kwd>Energy consumption</kwd>
<kwd>mono ethylene glycol</kwd>
<kwd>Peltier effect</kwd>
<kwd>performance factor (COP)</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<label>1</label>
<title>Introduction</title>
<p>Nowadays, with the continuous advancement in modern electronics such as Human-Machine Interface (HMI), programmable logic controllers (PLCs), and electric batteries, electronic devices face significant challenges in managing the heat generated by small sizes and high heat fluxes. This high heat flux leads to high operating temperatures, which greatly affect performance and reliability [<xref ref-type="bibr" rid="ref-1">1</xref>,<xref ref-type="bibr" rid="ref-2">2</xref>]. While traditional passive cooling technologies, such as forced air cooling, liquid cooling, and heat pipe cooling, are used, they suffer from physical limitations that limit their ability to transfer heat efficiently. On the other hand, thermoelectric coolers (TECs) are emerging as an innovative active cooling technology that can handle the increasing cooling requirements [<xref ref-type="bibr" rid="ref-3">3</xref>]. TECs take advantage of the Peltier effect to provide efficient heat transfer and dissipation without the need for complex mechanical or pressure systems, making them a noise-free, fast-responding, and environmentally friendly solution, Moreover, this technology offers additional advantages such as high reliability and excellent flexibility, which makes it an attractive option for meeting the cooling needs of modern electronic devices [<xref ref-type="bibr" rid="ref-4">4</xref>]. The performance of a thermoelectric cooler (TEC) depends on multiple operating parameters, including the temperatures of the cold and hot sides, the thermal and electrical conductivity of the thermal element, the thermal contact resistance, and the thermal resistance of the heat sink, in addition to the applied electrical current, These parameters allow for wide flexibility in TEC applications as they are used to provide cooler-than-ambient environments in applications such as refrigeration and dehumidification.</p>
<p>Furthermore, when the TEC process is reversed, it can be used as a power generator, making it an innovative and effective solution in many thermal applications [<xref ref-type="bibr" rid="ref-5">5</xref>]. The goal of using TEC was to keep the temperature of electronic devices within safe limits by pumping heat away from these devices, protecting them from overheating and ensuring reliable performance, by carefully selecting the number of modules to balance performance and cost [<xref ref-type="bibr" rid="ref-6">6</xref>]. Commercial TEC coolers are based on Bi<sub>2</sub>Te<sub>3</sub> alloys, which have been the preferred choice for decades in thermal applications, without significant improvements in efficiency during this period. Therefore, research is needed into the design of new systems to improve the capabilities of thermoelectric devices using currently available materials [<xref ref-type="bibr" rid="ref-7">7</xref>]. In their research on thermal cooling systems used in electronic device cooling, Venkatesan and Venkataramanan [<xref ref-type="bibr" rid="ref-8">8</xref>] have focused on improving the coefficient of performance (COP) by balance between thermal capacity and performance factor (COP). With the development of advanced sports models to improve efficiency and reduce energy consumption, research provides practical and applicable solutions to cool highly efficient electronic devices. In a study conducted by Lin and Yarn [<xref ref-type="bibr" rid="ref-9">9</xref>] to develop a cooling system, they used thermoelectric cooling chips to cool the liquid and blow chilly air. The system uses two thermoelectric cooling chips to cool the liquid (water &#x002B; alcohol). The cooling effect was measured after 5 min of operation, and the results showed that the 50% alcohol-water mixture provided the best cooling performance, with the temperature dropping from 22.7&#x00B0;C to 19.1&#x00B0;C. Increasing the number of cooling chips can further enhance the cooling rate, and the system remains effective despite the influence of environmental factors and temperature changes.</p>
<p>Abdulghani [<xref ref-type="bibr" rid="ref-10">10</xref>] conducted a study aimed to improve the cooling efficiency of the Peltier air coolers by analyzing the effect of the number of units used, the system was tested using 1, 2, 3, and 4 Peltier units, and the thermal and economic performance of each case was compared, the results showed that improving the performance of Peltier Cooler depends mainly on increasing the number of units while maintaining the balance between cost and performance (Muchlis et al. [<xref ref-type="bibr" rid="ref-11">11</xref>]). The study aims to improve the efficiency of thermoelectric cooling units and study the effect of different voltages on performance, where only one TEC 12706 unit was used inside a cooler box, the time taken in the experiment was 60 min to monitor the system performance and measure the changes in temperature and performance coefficient, where the results showed that at 10 volts the best efficiency of the unit was as the temperature difference reached 6.6 K, the absorbed heat was 19.150 W, and the performance coefficient was 0.921. This technology can be applied in many fields, such as electronics cooling, making it a potential alternative for many applications that require low-power cooling.</p>
<p>Redho et al. [<xref ref-type="bibr" rid="ref-12">12</xref>] evaluated the impact of incorporating ice packs into a Peltier-based cooling system utilizing two TEC1-12706 modules. Experiments were conducted over a 2-h cycle, alternating between one hour of operation and one hour off, with temperature measurements taken every 10 min. The results revealed that the combination of Peltier modules, ice packs, and frozen food achieved a minimum temperature of &#x2212;6.7&#x00B0;C during operation, highlighting the system&#x2019;s effectiveness in preserving perishable items. Xie et al. [<xref ref-type="bibr" rid="ref-13">13</xref>] optimized the performance of a water-cooled thermoelectric cooling (TEC) system for air-cooled applications by examining the effects of air and water flow rates on cooling efficiency. Through combined experimental and numerical analysis, the study confirms that both flow rates significantly influence TEC performance. The results demonstrate strong agreement between simulations and experiments, validating the model and highlighting key design parameters for enhancing efficiency. This work provides a foundation for developing more effective and sustainable thermal management systems.</p>
<p>Shrivastava and Mishra [<xref ref-type="bibr" rid="ref-14">14</xref>] analyzed the performance of the refrigeration unit under different operating conditions, to improve the cooling efficiency and compare the performance by cooling without load and with load, as well as cooling the immersed panels in the cooler, two TEC12705 thermoelectric cooling units were used, and water was used as the main coolant in the experiment, where the results showed that the lowest temperature on the cold side was achieved at 2&#x00B0;C&#x2013;3&#x00B0;C when using a closed water cooling cycle, and when using a double-side cooling system (water cooling for both the hot and cold sides), the temperature decreased to 18&#x00B0;C, where the study concluded the possibility of applying the system in different fields, such as cooling electronic devices, industrial refrigeration systems, and energy-saving air conditioning. Bayendang et al. [<xref ref-type="bibr" rid="ref-15">15</xref>] evaluated the efficiency of thermoelectric cooling (TEC) units by testing 16 identical units under the same operating conditions. Despite similar specifications, the results showed significant variations in performance, with the best unit recording &#x2212;4.81&#x00B0;C at 21.09 W. The study attributed this variation to factors related to manufacturing quality, system design, and the user&#x2019;s technical knowledge. The study concluded that the efficiency of TEC units could be improved by optimizing these factors, disproving the common belief that they are ineffective (Ren et al. [<xref ref-type="bibr" rid="ref-16">16</xref>]). This study aims to optimize a thermoelectric distillation system by minimizing the temperature difference between the thermoelectric modules&#x2019; hot and cold sides to reduce specific energy consumption in desalination. Through experimental validation and numerical simulation, the study demonstrates that controlling circulating water temperature to 90&#x00B0;C&#x2013;98&#x00B0;C, flow rate, and TEC voltage significantly enhances system performance. The system achieved a peak coefficient of performance (COP h) of 1.66, indicating improved heat transfer and reduced energy loss. The findings offer practical guidelines for designing energy-efficient.</p>
<p>Previous literature has examined the impact of the number of modules on performance, but these analyses were limited and did not reflect a comprehensive practical application, nor did they comprehensively integrate thermal, electrical, and economic considerations. Furthermore, the performance of Peltier modules when used in real cooling systems containing specialized fluids such as a mixture of distilled water, ethylene glycol, and laser dyes has not been studied, which lends a specialized character and makes them more relevant to industrial applications.</p>
<p>This research is unique in that it addresses a comprehensive practical application based on the use of a coolant based on distilled water, ethylene glycol, and laser dyes. This is a distinction not addressed in previous literature, which has often focused on conventional coolants such as water or water-alcohol mixtures [<xref ref-type="bibr" rid="ref-9">9</xref>,<xref ref-type="bibr" rid="ref-14">14</xref>]. The current research also differs from the work of Abdulghani [<xref ref-type="bibr" rid="ref-10">10</xref>], which limited its comparison of a number of thermoelectric cooling units in terms of thermal performance alone, without analyzing energy consumption. Unlike the study by Muchlis et al. [<xref ref-type="bibr" rid="ref-11">11</xref>], which tested a single Peltier unit inside a cooling box, this research presents a more difficult model by using 1&#x2013;4 multiple units with precise tracking of time, current, and energy consumption, enhancing the dynamic understanding of the interaction of performance with the number of units. The study also adds a rare applied dimension by linking the thermal performance of the fluid to the cooling of the air environment inside an electrical distribution panel, a scenario not addressed in previous literature that focused on surface or food cooling applications [<xref ref-type="bibr" rid="ref-12">12</xref>,<xref ref-type="bibr" rid="ref-15">15</xref>].</p>
<p>Therefore, this study aims to cool electrical and electronic distribution boards by developing a thermoelectric cooling system based on Peltier elements. It also examines the impact of using different quantities of refrigerants on efficiency, the coefficient of performance (COP), energy consumption, and the time required to cool a specific volume of 30% mono ethylene glycol &#x002B;70% distilled water plus laser dyes.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Model Design Methodology</title>
<p>Developing more sustainable and efficient cooling solutions is essential, given the increasing energy consumption in conventional air conditioning systems. Previous studies have indicated the need to search for innovative alternatives. One of the most promising solutions is the use of Peltier units, which have proven their efficiency by adding more units in addition to using colder refrigerants that can enhance cooling efficiency, while maintaining temperature stability and reducing fluctuations. Therefore, this study aims to develop an air conditioning system using Peltier units as an alternative to the conventional compressor, in addition to using a refrigerant consisting of Distilled water and mono ethylene glycol 70/30 instead of using gases in conventional air conditioners. <xref ref-type="fig" rid="fig-1">Fig. 1</xref> simplifies the device&#x2019;s structure. The parameter range (number of Peltier units, current, target temperature) was determined based on the manufacturer&#x2019;s specifications (datasheet) and previous studies, in addition to the results of preliminary tests that showed that one unit was insufficient to reach the required temperature, while using more than four units was not practical in terms of energy consumption and cost.</p>
<fig id="fig-1">
<label>Figure 1</label>
<caption>
<title>Description of the proposed method</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="EE_73437-fig-1.tif"/>
</fig>
<p><xref ref-type="fig" rid="fig-2">Fig. 2</xref> illustrates the procedure adopted in this study, which includes preparing the thermoelectric cooling system, selecting the working fluid, installing the Peltier modules, and connecting them in parallel. The process then involves filling the coolant tank, initiating the cooling cycle, and monitoring the temperature variations of both liquid and air inside the distribution board. Finally, energy consumption and cooling performance are measured and analyzed to evaluate system efficiency.</p>
<fig id="fig-2">
<label>Figure 2</label>
<caption>
<title>The stages of work to be implemented</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="EE_73437-fig-2.tif"/>
</fig>
</sec>
<sec id="s3">
<label>3</label>
<title>Components Used in the Experiment</title>
<sec id="s3_1">
<label>3.1</label>
<title>Peltier Element</title>
<p>A Peltier element is a thermoelectric unit that uses the Peltier effect to pump heat between its sides when an electric current is applied [<xref ref-type="bibr" rid="ref-17">17</xref>]. It consists of a cold side connected to an aluminum tank for cooling and a hot side connected to heat sinks to remove heat, it acts as an alternative to traditional refrigeration technologies thanks to its ability to create small electronic refrigerators with lower efficiency compared to compressor refrigerators [<xref ref-type="bibr" rid="ref-18">18</xref>]. The technology is based on thermoelectric phenomena and is known as thermoelectricity [<xref ref-type="bibr" rid="ref-19">19</xref>], as shown in <xref ref-type="fig" rid="fig-3">Fig. 3</xref>. <xref ref-type="table" rid="table-1">Table 1</xref> shows the specification of a proposed Peltier</p>
<fig id="fig-3">
<label>Figure 3</label>
<caption>
<title>Operational principles of TEC12706 [<xref ref-type="bibr" rid="ref-20">20</xref>]</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="EE_73437-fig-3.tif"/>
</fig><table-wrap id="table-1">
<label>Table 1</label>
<caption>
<title>Peltier&#x2019;s specifications</title>
</caption>
<table>
<colgroup>
<col align="center"/>
<col align="center"/>
</colgroup>
<thead>
<tr>
<th align="center">Model</th>
<th align="center">TEC1-12706</th>
</tr>
</thead>
<tbody>
<tr>
<td><bold>Operating voltage</bold></td>
<td>12 V (DC)</td>
</tr>
<tr>
<td><bold>VMAX</bold></td>
<td>15 V (DC)</td>
</tr>
<tr>
<td><bold>IMAX</bold></td>
<td>4&#x2013;6 A</td>
</tr>
<tr>
<td><bold>&#x0394;TMAX</bold></td>
<td>67&#x00B0;C</td>
</tr>
<tr>
<td><bold>Dimensions</bold></td>
<td>4 &#x00D7; 4 &#x00D7; 3.9 cm<sup>3</sup></td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The other supporting elements of the system are listed in <xref ref-type="table" rid="table-2">Table 2</xref>, with details of each components including, axial flow fan, heat sinks, cooling radiator, and power source.</p>
<table-wrap id="table-2">
<label>Table 2</label>
<caption>
<title>The system components and specifications</title>
</caption>
<table>
<colgroup>
<col align="center"/>
<col align="center"/>
<col align="center"/>
</colgroup>
<thead>
<tr>
<th>Component</th>
<th>Technical specification</th>
<th>Image</th>
</tr>
</thead>
<tbody>
<tr>
<td><bold><italic>Axial flow fan</italic></bold><break/>Used to impose forced convection in the air side</td>
<td><list list-type="order">
<list-item>
<p>Dimensions: 90 &#x00D7; 90 &#x00D7; 25 mm<sup>3</sup></p></list-item>
<list-item>
<p>Current rating: 0.24 A</p></list-item>
<list-item>
<p>Voltage: 12 V DC</p></list-item>
<list-item>
<p>Airflow: (MAX) 20&#x007E;50 CFM</p></list-item>
</list></td>
<td><inline-graphic mimetype="image" mime-subtype="png" xlink:href="EE_73437-inline-1.tif"/></td>
</tr>
<tr>
<td><bold><italic>Heat sinks on the cooling side</italic></bold><break/>An aluminum tank was used to store the liquid while.</td>
<td><list list-type="order">
<list-item>
<p>Made of Aluminium</p></list-item>
<list-item>
<p>80 &#x00D7; 80 &#x00D7; 120 mm<sup>3</sup></p></list-item>
</list></td>
<td><inline-graphic mimetype="image" mime-subtype="png" xlink:href="EE_73437-inline-2.tif"/></td>
</tr>
<tr>
<td><bold><italic>Radiator</italic></bold><break/>For heat exchange and cooling of hot water</td>
<td><list list-type="order">
<list-item>
<p>Made of Aluminium</p></list-item>
<list-item>
<p>Type: cross flow</p></list-item>
<list-item>
<p>Dimensions: 60 &#x00D7; 200 &#x00D7; 30 mm<sup>3</sup></p></list-item>
</list></td>
<td><inline-graphic mimetype="image" mime-subtype="png" xlink:href="EE_73437-inline-3.tif"/></td>
</tr>
<tr>
<td><bold><italic>Power source</italic></bold><break/>Required for power supply to operate the electrically driven components</td>
<td><list list-type="order">
<list-item>
<p>Input 240 V 50 HZ</p></list-item>
<list-item>
<p>Output 12 V 50 A</p></list-item>
</list></td>
<td><inline-graphic mimetype="image" mime-subtype="png" xlink:href="EE_73437-inline-4.tif"/></td>
</tr>
<tr>
<td><bold><italic>Pump</italic></bold><break/>To circulate the liquid</td>
<td><list list-type="order">
<list-item>
<p>Size: (8 &#x00D7; 17) cm<sup>2</sup></p></list-item>
<list-item>
<p>Voltage: 12 V DC</p></list-item>
<list-item>
<p>Maximum pump output: 120 PSI</p></list-item>
<list-item>
<p>Minimum inlet: 30 PSI</p></list-item>
</list></td>
<td><inline-graphic mimetype="image" mime-subtype="png" xlink:href="EE_73437-inline-5.tif"/></td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Fluid (Distilled Water Mono Ethylene Glycol 70/30)</title>
<p>It is a synthetic chemical compound. It is a 70/30 mixture of ethylene glycol with distilled water plus laser dyes to protect against freezing and overheating. It comes in a ready-to-use form, as shown in <xref ref-type="table" rid="table-3">Table 3</xref>.</p>
<table-wrap id="table-3">
<label>Table 3</label>
<caption>
<title>Physical properties</title>
</caption>
<table>
<colgroup>
<col align="center"/>
<col align="center"/>
<col/>
</colgroup>
<thead>
<tr>
<th align="center">Physical properties</th>
<th align="center">Quantity</th>
<th></th>
</tr>
</thead>
<tbody>
<tr>
<td><bold>Chemical formula</bold></td>
<td>70% H<sub>2</sub>O &#x002B; 30% C<sub>2</sub>H<sub>6</sub>O<sub>2</sub></td>
<td rowspan="6"><inline-graphic mimetype="image" mime-subtype="png" xlink:href="EE_73437-inline-6.tif"/></td>
</tr>
<tr>
<td><bold>Density</bold></td>
<td>1.05 kg/m<sup>3</sup></td>
</tr>
<tr>
<td><bold>Freezing point</bold></td>
<td>&#x2212;37&#x00B0;C</td>
</tr>
<tr>
<td><bold>Boling point</bold></td>
<td>&#x2264;135&#x00B0;C</td>
</tr>
<tr>
<td><bold>PH</bold></td>
<td>7.5</td>
</tr>
<tr>
<td><bold>Specific heat capacity of fluid</bold></td>
<td>3.6 kJ/kg&#x2219;&#x00B0;C</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The selected fluid provides the following benefits
<list list-type="order">
<list-item>
<p>Provides antifreeze protection in freezing weather and cooling in hot weather.</p></list-item>
<list-item>
<p>Prevents rust and other forms of corrosion.</p></list-item>
<list-item>
<p>Compatible with all metals.</p></list-item>
<list-item>
<p>Prolongs engine life.</p></list-item>
</list></p>
</sec>
</sec>
<sec id="s4">
<label>4</label>
<title>Experimental Implementation and Testing</title>
<p>The proposed cooling system operates in a closed-loop liquid cooling cycle using a Peltier element as a heat pump, as shown in <xref ref-type="fig" rid="fig-4">Fig. 4</xref>. The liquid is filled in the right storage tank, then cooled using a Peltier element that transfers heat from the cold side to the hot side. The hot side is cooled using copper tubes connected to aluminum heat sinks, and the heat exchanger has fins to increase the cooling efficiency by improving airflow and heat distribution. The cold side of the Peltier element is connected to the aluminum tank wall using thermal close-fitting to ensure effective conductivity, allowing the liquid inside the tank to be cooled. The cooled liquid is circulated through the heat exchanger to cool the electrical and electronic components. Sensors are installed to measure the temperatures inside the tank, at the air entering and exiting the heat exchanger. The pump and fans are automatically turned on when the target temperature is reached, and data is collected every minute to monitor the system&#x2019;s efficiency and measure the temperature drop. The initial fluid temperature (&#x2248;21.5&#x00B0;C) was selected to represent actual ambient conditions. The target temperature (8&#x00B0;C) was chosen as the minimum practical limit within the fluid characteristics and commercial refrigeration units. The air temperature inside the distribution panel (50&#x00B0;C) was based on field measurements and the operating specifications of electrical panels under load. The operating voltage (12 V) was adopted as the nominal voltage for the TEC units according to the manufacturer&#x2019;s data.</p>
<fig id="fig-4">
<label>Figure 4</label>
<caption>
<title>A complete liquid-cooled system</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="EE_73437-fig-4.tif"/>
</fig>
<p>Using the proposed design, an experiment was conducted to cool 1000 mL of a liquid mixture of 70% distilled water, 30% mono ethylene glycol, and some chemical compounds and dyes with a specific heat capacity of 3.6 kJ/kg&#x2219;&#x00B0;C, using different numbers of Peltier elements (1, 2, 3, and 4) electrically connected in parallel. The target temperature of the liquid was set at 8&#x00B0;C, and the main objective of the experiment was to reduce the air temperature inside the electrical and electronic distribution board to no more than 50&#x00B0;C. Readings were measured over one minute to evaluate the effectiveness of the system and achieve the specified objectives, as shown in <xref ref-type="fig" rid="fig-5">Fig. 5</xref>. The test was designed to compare performance at 2, 3, and 4 Peltier units. Temperature measurements were taken every minute, and current and voltage were measured to calculate power. Each condition was repeated three times. Controlled variables included fluid volume and composition, and pump and fan speeds. Means and standard deviations were calculated, and ANOVAs could be performed if necessary.</p>
<fig id="fig-5">
<label>Figure 5</label>
<caption>
<title>A diagram showing the stages of the device&#x2019;s operation</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="EE_73437-fig-5.tif"/>
</fig>
<p><xref ref-type="table" rid="table-4">Table 4</xref> shows the accuracy of each device used in the experiments and their uncertainty analysis.</p>
<table-wrap id="table-4">
<label>Table 4</label>
<caption>
<title>The devices uncertainty</title>
</caption>
<table>
<colgroup>
<col align="center"/>
<col align="center"/>
<col align="center"/>
<col align="center"/>
</colgroup>
<thead>
<tr>
<th>No.</th>
<th>Name of devices</th>
<th>Range</th>
<th>Accuracy and resolution</th>
</tr>
</thead>
<tbody>
<tr>
<td>1-</td>
<td>Digital thermometer</td>
<td>Temp. &#x2212;50&#x00B0;C to 110&#x00B0;C</td>
<td>Accuracy &#x00B1;1&#x00B0;C</td>
</tr>
<tr>
<td></td>
<td></td>
<td></td>
<td>Resolution 0.1&#x00B0;C</td>
</tr>
<tr>
<td>2-</td>
<td>UNI-T mini LCD digital anemometer UT363BT</td>
<td>0 to 30 m/s</td>
<td>Accuracy &#x00B1;(5% rdg &#x002B; 0.5)<break/> Resolution 0.1 m/s</td>
</tr>
<tr>
<td>3-</td>
<td>MT/C 31/2 multimeter</td>
<td>Measuring range: DC 600 V, AC 500 V DC 10 A, Resistance 2 M&#x03A9;</td>
<td>DC (voltage) (200 mV &#x00B1; 1.0%)<break/> AC voltage<break/> (200 V &#x00B1; 2.5%)<break/> DC (current)<break/> (200 &#x03BC;A &#x00B1; 2.0%)<break/> 10 A &#x00B1; (3.0% &#x002B; 5 d)</td>
</tr>
<tr>
<td>4-</td>
<td>Digital caliper</td>
<td>Measuring range: 0 to 150 mm</td>
<td>Accuracy &#x00B1;0.2 mm<break/> Resolution 0.1 mm</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s5">
<label>5</label>
<title>Performance Indicator</title>
<p>This section proposes a simplified ideal equation for thermoelectric coolers, along with various theories to realize their potential. The largest parameters include maximum current, temperature difference between hot and cold junctions, maximum cooling capacity, maximum voltage, and coefficient of performance (COP) analysis. The equations for heating and cooling of TEM are introduced, and then it is explained how the required parameters of those equations can be estimated from the characteristics found in commercial datasheets of TEM. Thermoelectric consists of a series of 2 N pellets of two different semiconductor materials (p and n type), consisting of N thermoelectric couples that are connected electrically in series and thermally in parallel, the air-cooled system is analyzed using a simple method to decide the heat transferred theoretically and experimentally, where the energy consumed by the system and the maximum performance factor can be calculated [<xref ref-type="bibr" rid="ref-21">21</xref>]. The amount of heat transferred from the cold surface (q<sub>c</sub>) of the TEC is of immense importance. q<sub>c</sub> can be calculated by finding the mass flow rate of the fluid, the specific heat capacity of the fluid, and the temperature difference. The temperature difference is the temperature difference between the cooling part of the Peltier unit and the energy consumed by the Peltier unit, four main types of heat transfer processes, including Peltier heating (q<sub>ph</sub>), Peltier cooling (q<sub>pc</sub>), Joule heating (q<sub>j</sub>), and Fourier heating (q<sub>con</sub>) involved in thermal evaluations of TEM, which are calculated via <xref ref-type="disp-formula" rid="eqn-1">Eqs. (1)</xref>&#x2013;<xref ref-type="disp-formula" rid="eqn-12">(12)</xref> [<xref ref-type="bibr" rid="ref-22">22</xref>].
<disp-formula id="eqn-1"><label>(1)</label><mml:math id="mml-eqn-1" display="block"><mml:mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"><mml:mtr><mml:mtd /><mml:mtd><mml:msub><mml:mrow><mml:mtext>q</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mtext>pc</mml:mtext></mml:mrow></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">&#x03B1;</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mtext>m&#xA0;</mml:mtext></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x00D7;</mml:mo><mml:mrow><mml:mtext>I</mml:mtext></mml:mrow><mml:mo>&#x00D7;</mml:mo><mml:msub><mml:mrow><mml:mtext>T</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mtext>c</mml:mtext></mml:mrow></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="eqn-2"><label>(2)</label><mml:math id="mml-eqn-2" display="block"><mml:mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"><mml:mtr><mml:mtd /><mml:mtd><mml:msub><mml:mrow><mml:mi mathvariant="normal">&#x03B1;</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mtext>ph&#xA0;</mml:mtext></mml:mrow></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">&#x03B1;</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mtext>m&#xA0;</mml:mtext></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x00D7;</mml:mo><mml:mrow><mml:mtext>I</mml:mtext></mml:mrow><mml:mo>&#x00D7;</mml:mo><mml:msub><mml:mrow><mml:mtext>&#xA0;T</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mtext>h</mml:mtext></mml:mrow></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="eqn-3"><label>(3)</label><mml:math id="mml-eqn-3" display="block"><mml:mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"><mml:mtr><mml:mtd /><mml:mtd><mml:msub><mml:mrow><mml:mtext>q</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mtext>j&#xA0;</mml:mtext></mml:mrow></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mtext>R</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mtext>m&#xA0;</mml:mtext></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x00D7;</mml:mo><mml:msup><mml:mrow><mml:mtext>I</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="eqn-4"><label>(4)</label><mml:math id="mml-eqn-4" display="block"><mml:mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"><mml:mtr><mml:mtd /><mml:mtd><mml:msub><mml:mrow><mml:mtext>q</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mtext>con&#xA0;</mml:mtext></mml:mrow></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mrow><mml:mi>&#x03B8;</mml:mi><mml:mi>m</mml:mi></mml:mrow></mml:mfrac><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mrow><mml:mtext>T</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mtext>h</mml:mtext></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x2212;</mml:mo><mml:msub><mml:mrow><mml:mtext>T</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mtext>c</mml:mtext></mml:mrow></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="eqn-5"><label>(5)</label><mml:math id="mml-eqn-5" display="block"><mml:mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"><mml:mtr><mml:mtd /><mml:mtd><mml:msub><mml:mrow><mml:mtext>q</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mtext>c</mml:mtext></mml:mrow></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mtext>q</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mtext>pc</mml:mtext></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x2212;</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac><mml:mo>&#x00D7;</mml:mo><mml:msub><mml:mrow><mml:mtext>q</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mtext>j&#xA0;</mml:mtext></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x2212;</mml:mo><mml:msub><mml:mrow><mml:mtext>q</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mtext>con&#xA0;</mml:mtext></mml:mrow></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p>
<p>It requires &#x03B1;<sub>m</sub> (Average Seebeck coefficient of the module), R<sub>m</sub> (Electrical resistance of the module), and <inline-formula id="ieqn-1"><mml:math id="mml-ieqn-1"><mml:mi>&#x03B8;</mml:mi><mml:mi>m</mml:mi></mml:math></inline-formula> (thermal resistance of the module), thermal resistance of the module parameters in <xref ref-type="disp-formula" rid="eqn-5">Eq. (5)</xref>. N, I<sub>max</sub>, V<sub>max</sub>, q<sub>max</sub>, &#x0394;T<sub>max,</sub> and T<sub>ref</sub> are specifications usually adopted in commercial datasheets. &#x0394;T<sub>max</sub> is the maximum temperature difference (&#x0394;T<sub>max</sub>) that can be achieved between the cold and hot sides of a thermally insulated TEC for a specified T<sub>ref</sub> value (temperature of hot side). I<sub>max</sub> and V<sub>max</sub> are the input current and voltage that produce the &#x0394;T<sub>max</sub> across a TEC. q<sub>max</sub> &#x003D; is the maximum amount of Heat (W) that can be absorbed in a cold plate of TEC at I<sub>max</sub> and &#x0394;T &#x003D; Zero. It should be noted that q<sub>max</sub> is not the largest possible amount of heat that TEC can manage. Q<sub>max</sub> is only the heat flow corresponding to the current q<sub>max</sub> [<xref ref-type="bibr" rid="ref-23">23</xref>]. Other parameters, including surface temperatures, DC voltage, and electrical current, inlet/outlet temperatures, flow rates, and so on, were directly measured during the experiments. Hence, the amount of q<sub>c</sub>, q<sub>h</sub>, T<sub>c,</sub> and T<sub>h</sub> for the entire system is evaluated from the following equations, in which the index &#x201C;<italic>i</italic>&#x201D; stands for any individual TEM module. q<sub>ci</sub> and q<sub>hi</sub> are calculated by <xref ref-type="disp-formula" rid="eqn-5">Eq. (5)</xref> [<xref ref-type="bibr" rid="ref-24">24</xref>].
<disp-formula id="eqn-6"><label>(6)</label><mml:math id="mml-eqn-6" display="block"><mml:mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"><mml:mtr><mml:mtd /><mml:mtd><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:munderover><mml:mo>&#x2211;</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:munderover><mml:mi>T</mml:mi><mml:mi>c</mml:mi><mml:mi>i</mml:mi></mml:mrow><mml:mn>6</mml:mn></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="eqn-7"><label>(7)</label><mml:math id="mml-eqn-7" display="block"><mml:mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"><mml:mtr><mml:mtd /><mml:mtd><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>h</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:munderover><mml:mo>&#x2211;</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:munderover><mml:mi>T</mml:mi><mml:mi>h</mml:mi><mml:mi>i</mml:mi></mml:mrow><mml:mn>6</mml:mn></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p>
<p>&#x201C;P<sub>1</sub>&#x201D; is the input energy consumed by Peltier and can be found from the <xref ref-type="disp-formula" rid="eqn-8">Eq. (8)</xref>. [<xref ref-type="bibr" rid="ref-25">25</xref>].
<disp-formula id="eqn-8"><label>(8)</label><mml:math id="mml-eqn-8" display="block"><mml:mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"><mml:mtr><mml:mtd /><mml:mtd><mml:msub><mml:mrow><mml:mtext>P</mml:mtext></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mrow><mml:mtext>I</mml:mtext></mml:mrow><mml:mo>&#x00D7;</mml:mo><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p>
<p>In addition to calculating q<sub>air</sub> by finding the mass flow rate of air, the specific heat of air, and the temperature difference. Here, the temperature difference is the difference in air temperature and the amount of energy consumed (for fans and pumps) [<xref ref-type="bibr" rid="ref-26">26</xref>].</p>
<p>&#x201C;P<sub>2</sub>&#x201D; is the input energy consumed by (pump &#x002B; fans) and can be found from <xref ref-type="disp-formula" rid="eqn-9">Eq. (9)</xref>.
<disp-formula id="eqn-9"><label>(9)</label><mml:math id="mml-eqn-9" display="block"><mml:mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"><mml:mtr><mml:mtd /><mml:mtd><mml:msub><mml:mrow><mml:mtext>P</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mrow><mml:mtext>I</mml:mtext></mml:mrow><mml:mo>&#x00D7;</mml:mo><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p>
<p>The heat transfer rate absorbed/dissipated by fluid flows can be calculated from <xref ref-type="disp-formula" rid="eqn-10">Eqs. (10)</xref> and <xref ref-type="disp-formula" rid="eqn-11">(11)</xref> [<xref ref-type="bibr" rid="ref-27">27</xref>].
<disp-formula id="eqn-10"><label>(10)</label><mml:math id="mml-eqn-10" display="block"><mml:mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"><mml:mtr><mml:mtd /><mml:mtd><mml:mrow><mml:mover><mml:mrow><mml:mtext>m</mml:mtext></mml:mrow><mml:mo>&#x02D9;</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mtext>a</mml:mtext></mml:mrow><mml:mo>=</mml:mo><mml:mrow><mml:mtext>S</mml:mtext></mml:mrow><mml:mo>&#x00D7;</mml:mo><mml:mrow><mml:mi mathvariant="normal">&#x03C1;</mml:mi></mml:mrow><mml:mo>&#x00D7;</mml:mo><mml:mrow><mml:mtext>A</mml:mtext></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>where: m<sub>a</sub> (air) &#x003D; 0.035626 kg/s and <inline-formula id="ieqn-2"><mml:math id="mml-ieqn-2"><mml:mrow><mml:mtext>Cp&#xA0;</mml:mtext></mml:mrow></mml:math></inline-formula> &#x003D; 1.005 kJ/kg &#x00B0;C
<disp-formula id="eqn-11"><label>(11)</label><mml:math id="mml-eqn-11" display="block"><mml:mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"><mml:mtr><mml:mtd /><mml:mtd><mml:mrow><mml:mtext>q</mml:mtext></mml:mrow><mml:mrow><mml:mtext>r&#xA0;</mml:mtext></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mtext>cooling air</mml:mtext></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mtext>m</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mtext>a</mml:mtext></mml:mrow></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mtext>air</mml:mtext></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>&#x00D7;</mml:mo><mml:mrow><mml:mtext>&#xA0;Cp</mml:mtext></mml:mrow><mml:mo>&#x00D7;</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mtext>T</mml:mtext></mml:mrow><mml:mrow><mml:mtext>inlet&#xA0;</mml:mtext></mml:mrow><mml:mo>&#x2212;</mml:mo><mml:mrow><mml:mtext>T</mml:mtext></mml:mrow><mml:mrow><mml:mtext>outlet</mml:mtext></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p>
<p>The cooling performance is defined by <xref ref-type="disp-formula" rid="eqn-12">Eq. (12)</xref> [<xref ref-type="bibr" rid="ref-28">28</xref>,<xref ref-type="bibr" rid="ref-29">29</xref>].
<disp-formula id="eqn-12"><label>(12)</label><mml:math id="mml-eqn-12" display="block"><mml:mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"><mml:mtr><mml:mtd /><mml:mtd><mml:mi>C</mml:mi><mml:mi>O</mml:mi><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>o</mml:mi><mml:mi>v</mml:mi><mml:mi>e</mml:mi><mml:mi>r</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>Q</mml:mi><mml:mspace width="thinmathspace" /><mml:mspace width="thinmathspace" /><mml:mi>c</mml:mi><mml:mi>o</mml:mi><mml:mi>o</mml:mi><mml:mi>l</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi><mml:mi>g</mml:mi><mml:mspace width="thinmathspace" /><mml:mspace width="thinmathspace" /><mml:mi>a</mml:mi><mml:mi>i</mml:mi><mml:mi>r</mml:mi></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>p</mml:mi><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mi>p</mml:mi><mml:mn>2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p>
</sec>
<sec id="s6">
<label>6</label>
<title>Results and Discussion</title>
<p>Using a coolant consisting of a mixture of distilled water, mono ethylene glycol 70/30, and laser dyes in specific proportions. 1000 mL of the liquid was used to reduce its temperature from 21.5 to 8&#x00B0;C. It was found that one Peltier unit did not achieve the target temperature even after three hours, as the maximum temperature it reached was 11.5&#x00B0;C, which led to its exclusion. Using two Peltier units, the required temperature was reached within 30 min at a cooling rate of 0.45&#x00B0;C/min. The amount of current consumption was 11.24 A, and the amount of energy was 242.62 kJ. Using three units, the time was reduced to 24 min at a cooling rate of 0.56&#x00B0;C/min. The amount of current consumption was 16.86 A, with an increase in energy consumption of 291.31 kJ. With four units, the target temperature was reached within 17 min at a high cooling rate of 0.794&#x00B0;C/min, and the current consumption was 22.48 A with an energy consumption of 275.155 kJ. <xref ref-type="fig" rid="fig-6">Fig. 6</xref> shows the effect of the number of Peltier units on the temperature decrease over time.</p>
<fig id="fig-6">
<label>Figure 6</label>
<caption>
<title>Temperature variation over time using 2, 3, and 4 Peltier modules</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="EE_73437-fig-6.tif"/>
</fig>
<p>The comparison among 2, 3, and 4 modules can be regarded as a sensitivity analysis, highlighting the influence of module number on cooling efficiency, coefficient of performance (COP), and energy consumption. The results confirmed that the four-module configuration achieved the optimal balance between cooling rate and energy efficiency. After reaching the target temperature, the entire air-cooling system (fans &#x002B; pump) was turned on, and its initial temperature was 50&#x00B0;C inside the electrical and electronic distribution board. With two units, the air temperature dropped to 39&#x00B0;C in the first minute and then later reached 31.3&#x00B0;C in 6 min, as shown in <xref ref-type="fig" rid="fig-7">Fig. 7</xref>, and consumed 6.372 kJ of energy.</p>
<fig id="fig-7">
<label>Figure 7</label>
<caption>
<title>Effect of time and location on temperature using 2-Peltier</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="EE_73437-fig-7.tif"/>
</fig>
<p>With three units, the air temperature dropped sharply to 38.3&#x00B0;C in the first minute and then later reached 30&#x00B0;C in 8 min, as shown in <xref ref-type="fig" rid="fig-8">Fig. 8</xref>, and consumed 8.92 kJ of energy.</p>
<fig id="fig-8">
<label>Figure 8</label>
<caption>
<title>Effect of time and location on temperature using 3-Peltier</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="EE_73437-fig-8.tif"/>
</fig>
<p>Using four units, the air temperature decreased to 36.1&#x00B0;C in the first minute, then to 28&#x00B0;C in 13 min, as shown in <xref ref-type="fig" rid="fig-9">Fig. 9</xref>, consuming 10.18 kJ of energy, and the current consumption was 1.77 A.</p>
<fig id="fig-9">
<label>Figure 9</label>
<caption>
<title>Effect of time and location on temperature using 4-Peltier</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="EE_73437-fig-9.tif"/>
</fig>
<p>When calculating the total energy consumption, two Peltier units consumed 248.992 kJ, while three units consumed 300.232 kJ, an increase of 20.578%. In contrast, four units consumed 291.556 kJ, a decrease of 2.9171% compared to three units. <xref ref-type="fig" rid="fig-10">Fig. 10</xref> shows the relationship between energy consumption and the number of thermoelectric cooling units in terms of time. In addition, <xref ref-type="fig" rid="fig-11">Fig. 11</xref> shows the relationship between energy consumption and the number of thermoelectric units and the amount of electric current consumed.</p>
<fig id="fig-10">
<label>Figure 10</label>
<caption>
<title>Relationship of energy consumed with the number of thermoelectric cooling units in terms of time (distilled water &#x002B; mono ethylene glycol 70/30) coolant</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="EE_73437-fig-10.tif"/>
</fig><fig id="fig-11">
<label>Figure 11</label>
<caption>
<title>Relationship between energy consumed and the number of thermoelectric cooling units in terms of current consumed (distilled water &#x002B; mono ethylene glycol 70/30) coolant</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="EE_73437-fig-11.tif"/>
</fig>
<p>The experimental trends can be explained based on the principles of thermoelectric heat transfer. Increasing the number of Peltier units increases the effective heat transfer area and reduces the overall thermal resistance, accelerating the cooling process. Although four units draw more current, the shorter cooling time reduces the total energy consumption. The coefficient of performance (COP) also improves because the absorbed heat increases at a faster rate than the increase in electrical power input, while the joule heating losses per unit decrease. the results showed that increasing the number of Peltier modules improved cooling speed and performance efficiency, with a significant impact on power consumption and electrical current. Although two Peltier modules achieved the required water cooling in 30 min at a rate of 0.45&#x00B0;C/min and a coefficient of performance of 0.86, which is in contrast to the findings of Lin and Yarn (2020) [<xref ref-type="bibr" rid="ref-9">9</xref>], performance improved significantly with three modules, reducing cooling time to 24 min at a rate of 0.563&#x00B0;C/min and a coefficient of performance of 1, despite a 20.578% increase in power consumption. With four modules, the optimal balance was achieved, reducing cooling time to 17 min at a high rate of 0.794&#x00B0;C/min and a coefficient of performance of 1.2, with a 2.917% reduction in power consumption compared to three modules. The effect of the number of units was also clearly evident in reducing the air temperature inside the system, as the cooling speed increased with an increase in the number of units, but with a difference in energy consumption, as shown in <xref ref-type="fig" rid="fig-12">Fig. 12</xref>. These results reflect the importance of determining the optimal number of units to achieve a balance between cooling speed, efficiency, and energy consumption. This is consistent with the findings of [<xref ref-type="bibr" rid="ref-10">10</xref>], which makes the use of four units the optimal choice for applications that require rapid cooling with acceptable energy consumption. Increasing the number of cooling units means increasing the ability to extract heat from the fluid.</p>
<fig id="fig-12">
<label>Figure 12</label>
<caption>
<title>Relationship of the coefficient of performance with the number of thermoelectric cooling units. 70% distilled water &#x002B; 30% mono ethylene</title>
</caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="EE_73437-fig-12.tif"/>
</fig>
<p>The main innovation of this research is the development of an integrated cooling system using Peltier units and unconventional refrigerants (distilled water &#x002B; ethylene glycol &#x002B; laser dyes). It was demonstrated that four units achieve the optimal balance between cooling speed and performance efficiency while reducing energy consumption, making it a practical and sustainable solution for cooling electronic devices. however, the increase is not completely linear because other factors come into play, such as thermal conductivity and the efficiency of each thermoelectric unit, which decreases as the temperature of its hot side increases. We measured the energy use when we added a fourth unit, and surprisingly, it fell even though the total unit count grew. The drop stems from improved efficiency: extra units cool the space faster, shorten the time any single unit runs at full load, and thus use less power overall. In short, deploying more, smaller units for brief spells often saves energy more than keeping a few larger units on the job for hours.</p>
</sec>
<sec id="s7">
<label>7</label>
<title>Conclusions</title>
<p>In this study, the use of Peltier units in cooling systems was found to be a promising solution for improving cooling efficiency and reducing energy consumption compared to conventional systems. Experiments showed that increasing the number of Peltier units significantly reduced cooling time and increased efficiency, with four units achieving the optimal balance between cooling speed and energy efficiency. as a significant increase in the number of units may not be economically efficient. The system was able to cool water to 8&#x00B0;C in just 17 min at a rate of 0.794&#x00B0;C/min and a high-performance factor of 1.2, while consuming less energy compared to three units. The study also showed a clear effect on reducing the air temperature inside the system, with faster cooling and lower temperatures achieved when increasing the number of units. These results reflect the importance of choosing the optimal number of Peltier units to achieve high efficiency, cooling speed, and reasonable energy consumption, making the developed system a sustainable and effective choice for applications that require rapid cooling. Future studies could focus on exploring advanced thermoelectric materials with higher efficiency to overcome the limitations of Bi<sub>2</sub>Te<sub>3</sub>-based modules. Hybrid systems that combine thermoelectric cooling with other passive or evaporative techniques could also be investigated to enhance performance. Finally, coupling thermoelectric cooling with renewable energy sources such as solar power represents a promising pathway toward sustainable and environmentally friendly thermal management solutions.</p>
</sec>
</body>
<back>
<ack>
<p>The authors would like to extend their sincere thanks and appreciation to the prestigious Food Industries Corporation for providing the appropriate environment for conducting the tests.</p>
</ack>
<sec>
<title>Funding Statement</title>
<p>The authors received no specific funding for this study.</p>
</sec>
<sec>
<title>Author Contributions</title>
<p>Author Mustafa N. Abd-Al Ameer designed the study and conducted the experiments. Authors Iman S. Kareem and Ali A. Ismaeel analyzed the data. All authors contributed to the writing of the article. All authors reviewed the results and approved the final version of the manuscript.</p>
</sec>
<sec sec-type="data-availability">
<title>Availability of Data and Materials</title>
<p>All data generated or analyzed during this study are included in this article.</p>
</sec>
<sec>
<title>Ethics Approval</title>
<p>Not applicable.</p>
</sec>
<sec sec-type="COI-statement">
<title>Conflicts of Interest</title>
<p>The authors declare no conflicts of interest to report regarding the present study.</p>
</sec>
<glossary content-type="abbreviations" id="glossary-1">
<title>Nomenclature</title>
<def-list>
<def-item>
<term>A</term>
<def>
<p>Area of the pipe, (circular)</p>
</def>
</def-item>
<def-item>
<term>C</term>
<def>
<p>Specific heat, kJ/kg C</p>
</def>
</def-item>
<def-item>
<term>COP</term>
<def>
<p>Coefficient of performance</p>
</def>
</def-item>
<def-item>
<term>I</term>
<def>
<p>Electrical current, A</p>
</def>
</def-item>
<def-item>
<term>Km</term>
<def>
<p>Thermal conductivity of TEC, W/mC</p>
</def>
</def-item>
<def-item>
<term>m.</term>
<def>
<p>Mass flow rate, kg/s</p>
</def>
</def-item>
<def-item>
<term>P1</term>
<def>
<p>Input energy consumed TEM, W</p>
</def>
</def-item>
<def-item>
<term>P2</term>
<def>
<p>Input energy consumed (pump &#x002B; fans), W</p>
</def>
</def-item>
<def-item>
<term>&#x03C1;</term>
<def>
<p>Density of air</p>
</def>
</def-item>
<def-item>
<term>q</term>
<def>
<p>Heat transfer rate, W</p>
</def>
</def-item>
<def-item>
<term>qa</term>
<def>
<p>Heat transfer rate between air fluid and cold surface of TEM</p>
</def>
</def-item>
<def-item>
<term>qph</term>
<def>
<p>Peltier heating, W</p>
</def>
</def-item>
<def-item>
<term>qpc</term>
<def>
<p>Peltier cooling, W</p>
</def>
</def-item>
<def-item>
<term>qj</term>
<def>
<p>Joule heating, W</p>
</def>
</def-item>
<def-item>
<term>qcon</term>
<def>
<p>Fourier heating, W</p>
</def>
</def-item>
<def-item>
<term>qc</term>
<def>
<p>Cooling energy of TEM, W</p>
</def>
</def-item>
<def-item>
<term>qh</term>
<def>
<p>Heating energy of TEM, W</p>
</def>
</def-item>
<def-item>
<term>qr</term>
<def>
<p>Heating energy of (pump &#x002B; fans)</p>
</def>
</def-item>
<def-item>
<term>Rm</term>
<def>
<p>Electrical resistance of TEC, &#x03A9;</p>
</def>
</def-item>
<def-item>
<term>S</term>
<def>
<p>Speed of air</p>
</def>
</def-item>
<def-item>
<term>T</term>
<def>
<p>Temperature</p>
</def>
</def-item>
<def-item>
<term>Th</term>
<def>
<p>Temperature of the hot side of the TEC</p>
</def>
</def-item>
<def-item>
<term>Tc</term>
<def>
<p>Temperature of the cold side of the TEC</p>
</def>
</def-item>
<def-item>
<term>Tr</term>
<def>
<p>Temperature of the air</p>
</def>
</def-item>
<def-item>
<term>TEC</term>
<def>
<p>Thermoelectric cooler</p>
</def>
</def-item>
<def-item>
<term>TEM</term>
<def>
<p>Thermoelectric module</p>
</def>
</def-item>
<def-item>
<term>V</term>
<def>
<p>Voltage, V</p>
</def>
</def-item>
</def-list>
<def-list>
<title>Greek Symbols</title>
<def-item>
<term>&#x03B1;m</term>
<def>
<p>Seebeck coefficient (V/C) of TEC</p>
</def>
</def-item>
<def-item>
<term>&#x0394;T</term>
<def>
<p>Temperature difference</p>
</def>
</def-item>
</def-list>
<def-list>
<title>Subscripts</title>
<def-item>
<term>a</term>
<def>
<p>Air</p>
</def>
</def-item>
<def-item>
<term>c</term>
<def>
<p>Cold</p>
</def>
</def-item>
<def-item>
<term>con</term>
<def>
<p>Fourier heating</p>
</def>
</def-item>
<def-item>
<term>h</term>
<def>
<p>Hot</p>
</def>
</def-item>
<def-item>
<term>j</term>
<def>
<p>Joule heating</p>
</def>
</def-item>
<def-item>
<term>max</term>
<def>
<p>Maximum</p>
</def>
</def-item>
<def-item>
<term>ph</term>
<def>
<p>Peltier heating</p>
</def>
</def-item>
<def-item>
<term>pc</term>
<def>
<p>Peltier cooling</p>
</def>
</def-item>
<def-item>
<term>w</term>
<def>
<p>Fluid</p>
</def>
</def-item>
</def-list>
</glossary>
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