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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">17847</article-id>
<article-id pub-id-type="doi">10.32604/ee.2022.017847</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Article</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Characteristics of Diesel/N-Butanol Blend on a Common Rail Diesel Engine with Exhaust Gas Recirculation</article-title>
<alt-title alt-title-type="left-running-head">Characteristics of Diesel/N-Butanol Blend on a Common Rail Diesel Engine with Exhaust Gas Recirculation</alt-title>
<alt-title alt-title-type="right-running-head">Characteristics of Diesel/N-Butanol Blend on a Common Rail Diesel Engine with Exhaust Gas Recirculation</alt-title>
</title-group>
<contrib-group content-type="authors">
<contrib id="author-1" contrib-type="author">
<name name-style="western"><surname>Chen</surname><given-names>Yanfei</given-names></name><xref ref-type="aff" rid="aff-1">1</xref></contrib>
<contrib id="author-2" contrib-type="author" corresp="yes">
<name name-style="western"><surname>He</surname><given-names>Jingjing</given-names></name><xref ref-type="aff" rid="aff-2">2</xref><email>hejj0117@126.com</email></contrib>
<contrib id="author-3" contrib-type="author" corresp="yes">
<name name-style="western"><surname>Chen</surname><given-names>Hao</given-names></name><xref ref-type="aff" rid="aff-2">2</xref><email>colen7680@126.com</email></contrib>
<contrib id="author-4" contrib-type="author">
<name name-style="western"><surname>Su</surname><given-names>Xin</given-names></name><xref ref-type="aff" rid="aff-2">2</xref></contrib>
<contrib id="author-5" contrib-type="author">
<name name-style="western"><surname>Xie</surname><given-names>Bin</given-names></name><xref ref-type="aff" rid="aff-2">2</xref></contrib>
<aff id="aff-1"><label>1</label><institution>Nanjing Vocational Institute of Transport Technology</institution>, <addr-line>Nanjing, 211188</addr-line>, <country>China</country></aff>
<aff id="aff-2"><label>2</label><institution>School of Automobile, Chang&#x0027;an University</institution>, <addr-line>Xi&#x0027;an, 710064</addr-line>, <country>China</country></aff>
</contrib-group>
<author-notes>
<corresp id="cor1"><label>&#x002A;</label>Corresponding Authors: Jingjing He. Email: <email>hejj0117@126.com</email>; Hao Chen. Email: <email>colen7680@126.com</email></corresp>
</author-notes>
<pub-date pub-type="epub" date-type="pub" iso-8601-date="2022-03-29"><day>29</day>
<month>03</month>
<year>2022</year></pub-date>
<volume>119</volume>
<issue>3</issue>
<fpage>1239</fpage>
<lpage>1259</lpage>
<history>
<date date-type="received"><day>11</day><month>6</month><year>2021</year></date>
<date date-type="accepted"><day>29</day><month>12</month><year>2021</year></date>
</history>
<permissions>
<copyright-statement>&#x00A9; 2022 Chen et al.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Chen et al.</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_17847.pdf"></self-uri>
<abstract>
<p>20&#x0025; n-butanol is blended in diesel by volume (noted as D80B20) and experiment has been carried out to study the effect on the combustion and emission characteristics based on a common rail diesel engine with exhaust gas recirculation (EGR) system. The results reveal that D80B20 has longer ignition delay, shorter combustion duration and higher maximum in-cylinder temperature than pure diesel (noted as D100). Further, the number concentration and volume concentration of ultrafine particles decrease significantly while NO<sub>X</sub> emissions increase a little with the addition of n-butanol. When the exhaust gas is induced into cylinder, NO<sub>X</sub> emissions significantly decrease and ultrafine particles emissions increase. The number geometric mean diameters and volume geometric mean diameters of ultrafine particles increase with EGR ratio. Compared to D100 without EGR, D80B20 with 20&#x0025; EGR ratio can reduce both NO<sub>X</sub> and ultrafine particles emissions at 0.14&#x2005;MPa BMEP and 0.56&#x2005;MPa BMEP.</p>
</abstract>
<kwd-group kwd-group-type="author">
<kwd>n-butanol</kwd>
<kwd>ultrafine particles</kwd>
<kwd>combustion</kwd>
<kwd>emission</kwd>
<kwd>common rail diesel engine</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1"><label>1</label><title>Introduction</title>
<p>Diesel engines emit high NO<sub>X</sub> and particulate matters (PM) which are harmful for environment and human survival, especially the ultrafine particles (UFPs) emissions [<xref ref-type="bibr" rid="ref-1">1</xref>,<xref ref-type="bibr" rid="ref-2">2</xref>]. The mass concentration of UFPs can be negligible, while the number concentration is very high. UFPs can directly enter human respiratory system and cardiovascular system, which can lead to lung function changes, airway inflammation, anaphylaxis, thrombosis, endothelial function changes, atherosclerotic deterioration and so on [<xref ref-type="bibr" rid="ref-3">3</xref>&#x2013;<xref ref-type="bibr" rid="ref-5">5</xref>]. In order to reduce the pollutant emissions of diesel engines, clean and alternative fuels for diesel have attracted substantial researches in recent years. Alcohols are common alternatives to reduce soot or PM emissions for oxygen content and low viscosity [<xref ref-type="bibr" rid="ref-6">6</xref>]. Chain alcohols can be divided into low carbon chain alcohols and high carbon chain alcohols according to the number of carbon atoms in molecular structure [<xref ref-type="bibr" rid="ref-7">7</xref>]. Higher oxygen content of low carbon chain alcohols helps reduce the PM emissions of diesel engines. As we all know that the oxygen content of methanol and ethanol reaches to 50&#x0025; and 34.8&#x0025;, respectively [<xref ref-type="bibr" rid="ref-8">8</xref>,<xref ref-type="bibr" rid="ref-9">9</xref>]. However, low carbon chain alcohols have strong polarity and they can only form diesel/alcohol micro-emulsion blends fuel with cosolvents or surfactants, leading to the poor stability and poor application convenience [<xref ref-type="bibr" rid="ref-10">10</xref>]. In generally, low carbon chain alcohols are used in diesel engine through dual fuel system. The dual fuel engine system may increase the manufacturing cost due to the additional fuel supply system and injection system. In addition, low carbon chain alcohols have low cetane number indicating the poor ignitability. With the increasing of the number of carbon atoms in the molecular structure, the cetane number and lower heating value (LHV) of alcohol fuels increase [<xref ref-type="bibr" rid="ref-11">11</xref>&#x2013;<xref ref-type="bibr" rid="ref-13">13</xref>]. Therefore, high carbon chain alcohols have better ignitability than low carbon chain alcohols. Furthermore, high carbon chain alcohols can completely be miscible with diesel. However, the oxygen content of alcohol fuels decreases with the length of the carbon chain, which is not conducive to the fuel full combustion and soot reduction.</p>
<p>Researches have confirmed n-butanol with molecular structure CH<sub>3</sub>(CH<sub>2</sub>)<sub>3</sub>OH is a promising diesel alternative. Previous studies on spray characteristics showed that adding n-butanol in diesel making the spray cone angle increase in most cases [<xref ref-type="bibr" rid="ref-14">14</xref>&#x2013;<xref ref-type="bibr" rid="ref-17">17</xref>]. Wang et al. [<xref ref-type="bibr" rid="ref-18">18</xref>] found that the ignition delay (ID) prolonged and the premixed combustion ratio obviously increased with n-butanol addition. And the butanol addition can greatly reduce soot emission especially under high load, whereas it has worse effect on the NO<sub>X</sub> emission under all engine loads. Zhou et al. [<xref ref-type="bibr" rid="ref-19">19</xref>] investigated the effect of n-butanol proportion in blends on engine combustion and emissions under a 4-cylinder diesel engine. They observed that the introduction of n-butanol achieved the goal of ultra-low soot emissions while it leaded to increased NO<sub>X</sub> emissions. Chen et al. [<xref ref-type="bibr" rid="ref-20">20</xref>] observed that n-butanol/diesel blends increased combustion pressure slightly and accelerated combustion speed. Further, the effect of n-butanol/diesel blends on soot reduction improved with the blending ratio of n-butanol under all conditions. Siwale et al. [<xref ref-type="bibr" rid="ref-21">21</xref>] indicated that 5&#x0025;, 10&#x0025;, and 20&#x0025; volume fraction of n-butanol in diesel can reduce the soot emissions by 55.5&#x0025;, 77.8&#x0025; and 85.1&#x0025;, while increase the NO<sub>X</sub> emissions by 10.3&#x0025;, 32.3&#x0025; and 54.4&#x0025;, respectively. Nabi et al. [<xref ref-type="bibr" rid="ref-22">22</xref>] examined the diesel/n-butanol blends by using a 6-cylinder diesel engine in accordance with the 13-Mode European Stationary Cycle. It was obviously evident that Bu6 (30&#x0025; diesel and 70&#x0025; n-butanol in volume) showed the lower indicated power and mean effective pressure than diesel. Zhang et al. [<xref ref-type="bibr" rid="ref-23">23</xref>] blended two different volume fractions (20&#x0025; and 40&#x0025;) of n-butanol into diesel fuel and they found that there had little effects on NO<sub>X</sub> emission, but NO proportion decreased and NO<sub>2</sub> proportion increased with higher n-butanol fraction. Atmanl&#x0131; et al. [<xref ref-type="bibr" rid="ref-24">24</xref>] found that the average brake torque, brake power, brake thermal efficiency (BTE) and exhaust gas temperature decreased, while brake specific fuel consumption (BSFC) increased with increasing presenceof n-butanol from 30&#x0025; to 60&#x0025; in diesel/cotton oil/n-butanol blends. An experimental investigation was carried out on a variable compression ratio CI engine with n-butanol/diesel blends (10&#x0025;&#x2013;25&#x0025; by volume) and the best results of performance and emissions were observed for 20&#x0025; n-butanol-diesel blend (B20) at a higher compression ratio as compared to diesel while keeping the other parameters unchanged [<xref ref-type="bibr" rid="ref-25">25</xref>]. Zhou et al. [<xref ref-type="bibr" rid="ref-19">19</xref>] studied the blend fuel of 10&#x0025;, 20&#x0025;, and 30&#x0025; n-butanol by volume in diesel. Results showed that the addition of n-butanol (10&#x0025;, 20&#x0025;, and 30&#x0025;) produced significant reduction in CO and soot emissions under certain post injection strategies. Within the range of 10&#x0025; and 20&#x0025; EGR, adding 20&#x0025; n-butanol in diesel can achieve a balance between combustion performance and emissions under certain post injection strategies.</p>
<p>On the whole, adding n-butanol in diesel obviously improved the spray atomization quality, increased the ID, decreased the combustion duration (CD), promoted the combustion quality and thereby increased the maximum temperature (MT) in the most engine loads. N-butanol/diesel blends could significantly reduce the soot and PM emissions while it resulted in higher NO<sub>X</sub> emissions compared with pure diesel. Exhaust Gas Recirculation (EGR) system was introduced to some related experiments to decrease NO<sub>X</sub> emission. By introducing exhaust gas into the cylinder, the MT in cylinder decreased and thereby the NO<sub>X</sub> formation of diesel engine reduced. Experimental results showed that the NO<sub>X</sub> emissions of n-butanol with 0&#x0025; EGR rate decreased 50&#x0025; and 58&#x0025;, respectively, compared with 14&#x0025; and 30&#x0025; EGR rate [<xref ref-type="bibr" rid="ref-18">18</xref>,<xref ref-type="bibr" rid="ref-19">19</xref>]. He et al. [<xref ref-type="bibr" rid="ref-26">26</xref>] also found that with the introduction of 20&#x0025; EGR ratio in D60G40 (40&#x0025; gasoline and 60&#x0025; diesel in volume) combustion, NO<sub>X</sub> emissions decreased by 20&#x0025; compared to the model without EGR.</p>
<p>Based on the summary of literature study, D80B20 (80&#x0025; diesel and 20&#x0025; n-butanol by volume) is chosen as the testing fuels in this study since it represents a good balance of combustion performance and emissions. And the increase of D80B20 in NO<sub>X</sub> emission is balanced through EGR system. Further, there are seldom studies focused on both UFPs and NO<sub>X</sub> emissions of diesel/n-butanol blends. Therefore, the effect of D80B20 on UFPs and NO<sub>X</sub> emissions are comprehensively studied on a common rail diesel engine with EGR system in this work. In addition, the emission characteristics of UFPs after adding n-butanol to diesel have been systematically studied, including number concentration, volume concentration and diameter distribution, etc., which is helpful to fill in the gap in the research of n-butanol as diesel alternative.</p>
</sec>
<sec id="s2"><label>2</label><title>Methodology</title>
<sec id="s2_1"><label>2.1</label><title>Fuels Properties</title>
<p>Test fuels are D100 (pure diesel) and D80B20. The main properties of D100 and D80B20 are tested and displayed in <xref ref-type="table" rid="table-1">Table 1</xref>. The cetane number, lower heating value, kinematic viscosity and density of test fuels are measured in accordance with the standards of ASTMD 613, ASTMD 240, ASTMD 445 and ASTMD 1298. The cetane number is measured and obtained through the method of calibration and interpolation. The lower heating value is measured using an oxygen bomb calorimeter. The kinematic viscosity is measured using a thermostatic capillary. The density is measured with a density meter (according to the principle of Archimedes). The uncertainties from measurement methods and processes could be neglected because the instruments, the measurement standard were fixed and the experimenters are also the same group. Further, the average of 5 repeated experiments is used as the final result, which can minimize the uncertainties. N-butanol has the low viscosity and distillation temperature, which improve the fluidity and volatility. Blending n-butanol is helpful to improve the spray atomization quality. However, the cetane number of n-butanol is only 16, resulting in a poor ignitability of D80B20. The LHV of D80B20 is 40.6 MJ/kg which is lower than 42.5 MJ/kg of D100.</p>
<table-wrap id="table-1"><label>Table 1</label><caption><title>The properties of test fuels</title></caption>
<table frame="hsides">
<colgroup>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left">Properties</th>
<th align="left">D100</th>
<th align="left">N-butanol</th>
<th align="left">D80B20</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">Density (kg/m<sup>3</sup>)</td>
<td align="left">837</td>
<td align="left">806</td>
<td align="left">817</td>
</tr>
<tr>
<td align="left">Cetane number</td>
<td align="left">50</td>
<td align="left">16</td>
<td align="left">40</td>
</tr>
<tr>
<td align="left">Viscosity at 20&#x00B0;C (mm<sup>2</sup>/s)</td>
<td align="left">4.37</td>
<td align="left">2.51</td>
<td align="left">3.82</td>
</tr>
<tr>
<td align="left">Oxygen content (&#x0025;)</td>
<td align="left">0</td>
<td align="left">21.6</td>
<td align="left">4.38</td>
</tr>
<tr>
<td align="left">Lower heating value (MJ/kg)</td>
<td align="left">42.5</td>
<td align="left">33.1</td>
<td align="left">40.6</td>
</tr>
<tr>
<td align="left">95&#x0025; distillation temperature (&#x00B0;C)</td>
<td align="left">358</td>
<td align="left">217</td>
<td align="left">296</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2_2"><label>2.2</label><title>Experiment Setup and Testing Procedure</title>
<p>The combustion and emission performances of test fuels are studied on a common rail diesel engine with EGR system. <xref ref-type="table" rid="table-2">Table 2</xref> gives parameters and specifications of the test engine. <xref ref-type="fig" rid="fig-1">Fig. 1</xref> shows the arrangement for test system. Injection pressures and injection timings are controlled through the BOSCH injection system. An electric dynamo meter (CAMA CW160B) is used to control the engine working torque and speed. The peak torque is achieved between 1600 and 1800 r/min. In this research, 1800 r/min is chosen. The torques of 50, 150, 200, 250, 300 and 350 Nm are chosen to represent different engine loads and the corresponding brake mean effective pressures (BMEP) are 0.14, 0.42, 0.56, 0.70, 0.84, and 0.98 MPa, respectively. The initial injection strategy includes pilot injection and main injection. A piezo-electric type pressure sensor (6052A, Kistler) used to measure the in-cylinder pressure is installed on the top of the first cylinder. And then the pressure signal is amplified and analyzed by a charge amplifier (5019B, Kistler) and a combustion analyzer (KIBOX, Kistler), respectively. A magnetoelectric crankshaft position sensor with the resolution of 0.1 degree crank angle (&#x00B0;CA) is applied to record the crank angle position. In each measurement, 100 consecutive cycles are recorded and averaged with the KiBox-Cockpit software. NO<sub>X</sub> emissions are measured by MAHA MET6.X with volume concentrations and UFPs emissions are measured by an aerodynamic particle sizer spectrometer (TSI SMPS-3936). The range and accuracy of the test apparatus are shown in <xref ref-type="table" rid="table-3">Table 3</xref>. The engine is warmed up under idling condition until the coolant temperature and the lubrication oil temperature satisfy with the requirement. When the test fuel is changed, the engine operates for 5 min to ensure previous fuel in fuel line and rail pipe have been consumed. In each condition, the engine operates stably for 3&#x2005;min.</p>
<table-wrap id="table-2"><label>Table 2</label><caption><title>Test engine parameters and specifications</title></caption>
<table frame="hsides">
<colgroup>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left">Items</th>
<th align="left">Parameters or specifications</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">Fuel injection system</td>
<td align="left">Common rail</td>
</tr>
<tr>
<td align="left">Engine type</td>
<td align="left">in-line 4-cylinder, inter-cooled, turbocharged</td>
</tr>
<tr>
<td align="left">Displacement (L)</td>
<td align="left">4.5</td>
</tr>
<tr>
<td align="left">Bore &#x00D7; stroke (mm)</td>
<td align="left">105&#x2009;&#x00D7;&#x2009;130</td>
</tr>
<tr>
<td align="left">Compression ratio</td>
<td align="left">18</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="fig-1"><label>Figure 1</label><caption><title>Engine system schematics</title></caption><graphic mimetype="image" mime-subtype="png" xlink:href="EE_17847-fig-1.png"/></fig>
<table-wrap id="table-3"><label>Table 3</label><caption><title>The range and accuracy of the test apparatus</title></caption>
<table frame="hsides">
<colgroup>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left">Apparatus</th>
<th align="left">Measured parameters</th>
<th align="left">Range</th>
<th align="left">Accuracy</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" rowspan="2">Electric dynamometer</td>
<td align="left">Speed</td>
<td align="left">0&#x2013;10000&#x2005;rpm</td>
<td align="left">1&#x0025;</td>
</tr>
<tr>
<td align="left">Torque</td>
<td align="left">0&#x2013;520&#x2005;N&#x22C5;m</td>
<td align="left">0.2&#x0025;</td>
</tr>
<tr>
<td align="left">Pressure sensor</td>
<td align="left">in-cylinder pressure</td>
<td align="left">0&#x2013;25 MPa</td>
<td align="left">0.1&#x2005;MPa</td>
</tr>
<tr>
<td align="left">MAHA MET6.X</td>
<td align="left">NO<sub>X</sub></td>
<td align="left">0&#x2013;5000&#x2005;ppm</td>
<td align="left">&#x00B1;20&#x2005;ppm</td>
</tr>
<tr>
<td align="left">SMPS-3936</td>
<td align="left">UFPs</td>
<td align="left">2.5&#x2013;1000&#x2005;nm</td>
<td align="left">10&#x2005;nm</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2_3"><label>2.3</label><title>Data Processing</title>
<p>Based on the in-cylinder pressure, heat release rate and in-cylinder combustion temperature for diesel engines are calculated by a simplified apparent heat release model [<xref ref-type="bibr" rid="ref-27">27</xref>,<xref ref-type="bibr" rid="ref-28">28</xref>]. The heat release rate and temperature in cylinder can be calculated by <xref ref-type="disp-formula" rid="eqn-1">Eqs. (1)</xref> and <xref ref-type="disp-formula" rid="eqn-2">(2)</xref>, number geometric mean diameter (NGMD) and volume geometric mean diameter (VGMD) are adopted for a typical diameter analysis of UFPs and the calculation are listed in <xref ref-type="disp-formula" rid="eqn-3">Eqs. (3)</xref>&#x2013;<xref ref-type="disp-formula" rid="eqn-7">(7)</xref>. The meaning represented by the letters in each equation is detailed in reference [<xref ref-type="bibr" rid="ref-10">10</xref>].
<disp-formula id="eqn-1"><label>(1)</label><mml:math id="mml-eqn-1" display="block"><mml:mfrac><mml:mrow><mml:mi>d</mml:mi><mml:mi>Q</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mi>&#x03C6;</mml:mi></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mfrac><mml:mi>k</mml:mi><mml:mrow><mml:mi>k</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:mfrac><mml:mi>p</mml:mi><mml:mfrac><mml:mrow><mml:mi>d</mml:mi><mml:mi>V</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mi>&#x03C6;</mml:mi></mml:mrow></mml:mfrac><mml:mo>+</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mrow><mml:mi>k</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:mfrac><mml:mi>V</mml:mi><mml:mfrac><mml:mrow><mml:mi>d</mml:mi><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mi>&#x03C6;</mml:mi></mml:mrow></mml:mfrac></mml:math></disp-formula>
<disp-formula id="eqn-2"><label>(2)</label><mml:math id="mml-eqn-2" display="block"><mml:mfrac><mml:mrow><mml:mi>d</mml:mi><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mi>&#x03C6;</mml:mi></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mrow><mml:mi>m</mml:mi><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi>v</mml:mi></mml:msub></mml:mrow></mml:mrow></mml:mfrac><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mi>d</mml:mi><mml:mi>Q</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mi>&#x03C6;</mml:mi></mml:mrow></mml:mfrac><mml:mo>&#x2212;</mml:mo><mml:mi>p</mml:mi><mml:mfrac><mml:mrow><mml:mi>d</mml:mi><mml:mi>V</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mi>&#x03C6;</mml:mi></mml:mrow></mml:mfrac></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></disp-formula>
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</sec>
</sec>
<sec id="s3"><label>3</label><title>Combustion Characteristics</title>
<sec id="s3_1"><label>3.1</label><title>Effect of n-Butanol on Combustion Characteristics</title>
<p>In this study, the start of injection (SOI) is defined as the crank angle corresponding to the maximum driving current of the high pressure injector. The start of combustion (SOC) is defined as the zero point of heat release rate from the negative to positive and the end of combustion (EOC) is the zero point of heat release rate from the positive to negative. The ID is the period between SOI and SOC, and the CD is the period between SOC and EOC. <xref ref-type="table" rid="table-4">Table 4</xref> the specific parameters of test fuels. <xref ref-type="table" rid="table-5">Table 5</xref> lists the SOCs and EOCs of D100 and D80B20 under various engine loads. The IDs and CDs of test fuels are displayed in <xref ref-type="fig" rid="fig-2">Fig. 2</xref>. The SOCs of D80B20 are always later than those of D100 for lower cetane number and worse ignitability. And thereby the IDs of D80B20 are longer than those of D100. Obviously, the ID decreases and the CD increases with engine load from <xref ref-type="fig" rid="fig-2">Fig. 2</xref>. It can be also observed that the gap of IDs or CDs between D80B20 and D100 get smaller as engine load increases. The gap of SOC and EOC decreases as the load increases among fuels. This indicates that the reactivity differences do not play a significant role at high load cases since the ambient temperature and pressure are high enough at these high load cases. At 0.14 MPa BMEP low load, the ID of D80B20 is 10.5 &#x00B0;CA, which is 1.08 &#x00B0;CA longer than D100. The temperature and pressure in cylinder increase as engine load increases. And at 0.98 MPa BMEP, the ID of D80B20 is 0.64 &#x00B0;CA longer than that of D100.</p>
<p>
<table-wrap id="table-4"><label>Table 4</label><caption><title>The specific parameters of test fuels</title></caption>
<table frame="hsides">
<colgroup>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left">BMEP</th>
<th align="left">EGR rate</th>
<th align="center" colspan="2">Inlet pressure (kPa)</th>
<th align="center" colspan="2">Inlet temperature (&#x00B0;C)</th>
<th align="center" colspan="2">Injection pressure (MPa)</th>
<th align="center" colspan="2">Exhaust temperature (&#x00B0;C)</th>
<th align="center" colspan="2">&#x03BB;</th>
</tr>
<tr>
<td></td>
<td></td>
<th align="left">D100</th>
<th align="left">D80B20</th>
<th align="left">D100</th>
<th align="left">D80B20</th>
<th align="left">D100</th>
<th align="left">D80B20</th>
<th align="left">D100</th>
<th align="left">D80B20</th>
<th align="left">D100</th>
<th align="left">D80B20</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left" rowspan="5">0.14&#x2005;MPa</td>
<td align="left">0</td>
<td align="left">102.9</td>
<td align="left">103.6</td>
<td align="left">43.5</td>
<td align="left">51</td>
<td align="left">57.8</td>
<td align="left">58.8</td>
<td align="left">161</td>
<td align="left">180</td>
<td align="left">5.11</td>
<td align="left">5.09</td>
</tr>
<tr>
<td align="left">10&#x0025;</td>
<td align="left">103</td>
<td align="left">103.5</td>
<td align="left">43.6</td>
<td align="left">51</td>
<td align="left">57.7</td>
<td align="left">58.7</td>
<td align="left">164</td>
<td align="left">180</td>
<td align="left">5.21</td>
<td align="left">5.01</td>
</tr>
<tr>
<td align="left">20&#x0025;</td>
<td align="left">102.9</td>
<td align="left">103.4</td>
<td align="left">43.8</td>
<td align="left">50.9</td>
<td align="left">57.5</td>
<td align="left">58.7</td>
<td align="left">165</td>
<td align="left">178</td>
<td align="left">4.93</td>
<td align="left">4.89</td>
</tr>
<tr>
<td align="left">30&#x0025;</td>
<td align="left">102.9</td>
<td align="left">103.5</td>
<td align="left">43.7</td>
<td align="left">50.8</td>
<td align="left">57.4</td>
<td align="left">58.7</td>
<td align="left">166</td>
<td align="left">177</td>
<td align="left">3.06</td>
<td align="left">4.72</td>
</tr>
<tr>
<td align="left">40&#x0025;</td>
<td align="left">103.1</td>
<td align="left">103.3</td>
<td align="left">45.4</td>
<td align="left">50.8</td>
<td align="left">57.4</td>
<td align="left">58.7</td>
<td align="left">168</td>
<td align="left">174</td>
<td align="left">4.75</td>
<td align="left">4.62</td>
</tr>
<tr>
<td align="left">0.42&#x2005;MPa</td>
<td align="left">0</td>
<td align="left">115</td>
<td align="left">113.3</td>
<td align="left">46</td>
<td align="left">50.8</td>
<td align="left">75.2</td>
<td align="left">73.6</td>
<td align="left">213</td>
<td align="left">220</td>
<td align="left">2.94</td>
<td align="left">3.02</td>
</tr>
<tr>
<td align="left" rowspan="5">0.56&#x2005;MPa</td>
<td align="left">0</td>
<td align="left">122</td>
<td align="left">121</td>
<td align="left">48.7</td>
<td align="left">51.5</td>
<td align="left">80.7</td>
<td align="left">82.4</td>
<td align="left">273</td>
<td align="left">255</td>
<td align="left">2.46</td>
<td align="left">2.59</td>
</tr>
<tr>
<td align="left">10&#x0025;</td>
<td align="left">123</td>
<td align="left">122.9</td>
<td align="left">48.9</td>
<td align="left">52.2</td>
<td align="left">80.6</td>
<td align="left">82.4</td>
<td align="left">277</td>
<td align="left">273</td>
<td align="left">2.55</td>
<td align="left">2.50</td>
</tr>
<tr>
<td align="left">20&#x0025;</td>
<td align="left">122.8</td>
<td align="left">124</td>
<td align="left">49.2</td>
<td align="left">52.8</td>
<td align="left">80.4</td>
<td align="left">82.6</td>
<td align="left">280</td>
<td align="left">285</td>
<td align="left">2.51</td>
<td align="left">2.43</td>
</tr>
<tr>
<td align="left">30&#x0025;</td>
<td align="left">122.8</td>
<td align="left">123.6</td>
<td align="left">49.3</td>
<td align="left">53.1</td>
<td align="left">80.2</td>
<td align="left">82.8</td>
<td align="left">280</td>
<td align="left">288</td>
<td align="left">2.44</td>
<td align="left">2.37</td>
</tr>
<tr>
<td align="left">40&#x0025;</td>
<td align="left">123.2</td>
<td align="left">124</td>
<td align="left">49</td>
<td align="left">53</td>
<td align="left">79.9</td>
<td align="left">82.4</td>
<td align="left">280</td>
<td align="left">289</td>
<td align="left">2.40</td>
<td align="left">2.32</td>
</tr>
<tr>
<td align="left">0.70&#x2005;MPa</td>
<td align="left">0</td>
<td align="left">133.8</td>
<td align="left">131.5</td>
<td align="left">48.8</td>
<td align="left">52.8</td>
<td align="left">89.3</td>
<td align="left">89.9</td>
<td align="left">298</td>
<td align="left">300</td>
<td align="left">2.27</td>
<td align="left">2.27</td>
</tr>
<tr>
<td align="left">0.84&#x2005;MPa</td>
<td align="left">0</td>
<td align="left">141.6</td>
<td align="left">139.5</td>
<td align="left">49.5</td>
<td align="left">53.7</td>
<td align="left">97</td>
<td align="left">97.4</td>
<td align="left">325</td>
<td align="left">333</td>
<td align="left">2.08</td>
<td align="left">2.1</td>
</tr>
<tr>
<td align="left" rowspan="5">0.98&#x2005;MPa</td>
<td align="left">0</td>
<td align="left">151.7</td>
<td align="left">152.3</td>
<td align="left">50.6</td>
<td align="left">54.9</td>
<td align="left">101.8</td>
<td align="left">103.6</td>
<td align="left">356</td>
<td align="left">360</td>
<td align="left">1.96</td>
<td align="left">1.9</td>
</tr>
<tr>
<td align="left">10&#x0025;</td>
<td align="left">152.3</td>
<td align="left">153.2</td>
<td align="left">51.8</td>
<td align="left">55.7</td>
<td align="left">101.7</td>
<td align="left">103.6</td>
<td align="left">364</td>
<td align="left">374</td>
<td align="left">1.9</td>
<td align="left">1.86</td>
</tr>
<tr>
<td align="left">20&#x0025;</td>
<td align="left">153.2</td>
<td align="left">154.3</td>
<td align="left">52.7</td>
<td align="left">56</td>
<td align="left">101.6</td>
<td align="left">103.8</td>
<td align="left">369</td>
<td align="left">377</td>
<td align="left">1.85</td>
<td align="left">1.8</td>
</tr>
<tr>
<td align="left">30&#x0025;</td>
<td align="left">154.4</td>
<td align="left">155</td>
<td align="left">52.4</td>
<td align="left">55.5</td>
<td align="left">101.5</td>
<td align="left">103.5</td>
<td align="left">373</td>
<td align="left">377</td>
<td align="left">1.81</td>
<td align="left">1.76</td>
</tr>
<tr>
<td align="left">40&#x0025;</td>
<td align="left">155</td>
<td align="left">155.6</td>
<td align="left">52.3</td>
<td align="left">55.4</td>
<td align="left">102.1</td>
<td align="left">103.3</td>
<td align="left">372</td>
<td align="left">380</td>
<td align="left">1.76</td>
<td align="left">1.71</td>
</tr>
</tbody>
</table>
</table-wrap></p>
<table-wrap id="table-5"><label>Table 5</label><caption><title>SOCs and EOCs of D100 and D80B20</title></caption>
<table frame="hsides">
<colgroup>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left" rowspan="2">Engine loads</th>
<th align="center" colspan="2">D100</th>
<th align="center" colspan="2">D80B20</th>
</tr>
<tr>
<th align="left">SOC (&#x00B0;CA)</th>
<th align="left">EOC (&#x00B0;CA)</th>
<th align="left">SOC (&#x00B0;CA)</th>
<th align="left">EOC (&#x00B0;CA)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">BMEP&#x2009;&#x003D;&#x2009;0.14&#x2005;MPa</td>
<td align="left">&#x2212;9.6</td>
<td align="left">21</td>
<td align="left">&#x2212;8.5</td>
<td align="left">20</td>
</tr>
<tr>
<td align="left">BMEP&#x2009;&#x003D;&#x2009;0.42&#x2005;MPa</td>
<td align="left">&#x2212;11.6</td>
<td align="left">30</td>
<td align="left">&#x2212;10.4</td>
<td align="left">28</td>
</tr>
<tr>
<td align="left">BMEP&#x2009;&#x003D;&#x2009;0.56&#x2005;MPa</td>
<td align="left">&#x2212;12.5</td>
<td align="left">33.2</td>
<td align="left">&#x2212;11.7</td>
<td align="left">32.8</td>
</tr>
<tr>
<td align="left">BMEP&#x2009;&#x003D;&#x2009;0.70&#x2005;MPa</td>
<td align="left">&#x2212;13.6</td>
<td align="left">39.2</td>
<td align="left">&#x2212;12.8</td>
<td align="left">38.8</td>
</tr>
<tr>
<td align="left">BMEP&#x2009;&#x003D;&#x2009;0.84&#x2005;MPa</td>
<td align="left">&#x2212;14.4</td>
<td align="left">43.3</td>
<td align="left">&#x2212;13.7</td>
<td align="left">43.7</td>
</tr>
<tr>
<td align="left">BMEP&#x2009;&#x003D;&#x2009;0.98&#x2005;MPa</td>
<td align="left">&#x2212;14.8</td>
<td align="left">47</td>
<td align="left">&#x2212;14.2</td>
<td align="left">46</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="fig-2"><label>Figure 2</label><caption><title>IDs and CDs of D100 and D80B20</title></caption><graphic mimetype="image" mime-subtype="png" xlink:href="EE_17847-fig-2.png"/></fig>
<p><xref ref-type="fig" rid="fig-3">Fig. 3</xref> shows the pressure, temperature and heat release rate in cylinder of D100 and D80B20 at 0.14, 0.56, 0.98 MPa BMEP. <xref ref-type="table" rid="table-6">Table 6</xref> lists the maximum heat release rates (MHHRs) and MTs under different engine loads. It can be seen from <xref ref-type="fig" rid="fig-3">Fig. 3a</xref> that the MHRR of D80B20 is significantly higher than D100 under low load. On the one hand, the pressure and temperature in cylinder are relatively low and the influence of low cetane number on ignition delay is obvious under low engine load. And long ID of D80B20 makes a large amount of the fuel/air mixture. On the other hand, the low viscosity and high volatility of D80B20 improves the spray quality and mixture uniformity. The spray particle size is mainly related to the viscosity and surface tension of the fuel. The lower the viscosity and surface tension, the easier the fuel spray breaks into smaller droplets [<xref ref-type="bibr" rid="ref-17">17</xref>]. Wu et al. [<xref ref-type="bibr" rid="ref-15">15</xref>] found that the air entrainment around the blend enhanced and the spray in front became more disorder after mixing n-butanol. In addition, the color of spray head was shallower than basic fuel, which suggested that spray particle size became smaller and the atomization was more uniform with n-butanol blending [<xref ref-type="bibr" rid="ref-15">15</xref>]. Accordingly, a large and uniform fuel/air mixture is beneficial to speed up the fuel combustion. Therefore, the premixed combustion strengthens and the MHRR increases with n-butanol addition. At 0.14&#x2005;MPa BMEP, the MHRR of D80B20 is 37.09&#x2005;J/&#x00B0;CA, increased by 2.4&#x2005;J/&#x00B0;CA compared to diesel. Further, the MHRR gap between D80B20 and D100 gradually narrows with engine load. And when BMEP&#x2009;&#x2265;&#x2009;0.84&#x2005;MPa, D80B20 has lower MHRRs than D100. As the load increases, the pressure and temperature in the cylinder increase gradually. In high in-cylinder thermal condition, the influence of fuel reactivity becomes less crucial and thereby the gap of ID between D100 and D80B20 becomes small. Meanwhile, the fraction of diffusion combustion becomes larger at high engine load cases. The high oxygen content of D80B20 can release a large number of oxygen atoms and active free radicals during the stage of diffusion combustion, which can speed up combustion speed and promote combustion completeness [<xref ref-type="bibr" rid="ref-26">26</xref>]. However, the LHV of the n-butanol is lower than that of diesel. As a result, under medium and high loads, the MHRR of D80B20 is lower than D100. Meanwhile, D80B20 has a higher heat release rate than D100 in the stage of diffusion combustion, which can be seen from <xref ref-type="fig" rid="fig-3">Fig. 3c</xref>. It can also clearly been observed in <xref ref-type="fig" rid="fig-2">Fig. 2</xref> that the CD of D80B20 is always shorter than D100, which indicates the combustion heat release of D80B20 is more concentrated. Therefore, D80B20 has the high maximum temperatures under all conditions.</p>
<fig id="fig-3"><label>Figure 3</label><caption><title>Pressure, heat release rate and temperature in cylinder</title></caption><graphic mimetype="image" mime-subtype="png" xlink:href="EE_17847-fig-3.png"/></fig>
<table-wrap id="table-6"><label>Table 6</label><caption><title>MHRRs and MTs of test fuels at various loads</title></caption>
<table frame="hsides">
<colgroup>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left" rowspan="2">Engine loads</th>
<th align="center" colspan="2">D100</th>
<th align="center" colspan="2">D80B20</th>
</tr>
<tr>
<th align="left">MHRR (J/&#x00B0;CA)</th>
<th align="left">MT (K)</th>
<th align="left">MHRR (J/&#x00B0;CA)</th>
<th align="left">MT (K)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">BMEP&#x2009;&#x003D;&#x2009;0.14&#x2005;MPa</td>
<td align="left">34.69</td>
<td align="left">1407.3</td>
<td align="left">37.09</td>
<td align="left">1437.5</td>
</tr>
<tr>
<td align="left">BMEP&#x2009;&#x003D;&#x2009;0.42&#x2005;MPa</td>
<td align="left">63.59</td>
<td align="left">1682.2</td>
<td align="left">61.90</td>
<td align="left">1679.1</td>
</tr>
<tr>
<td align="left">BMEP&#x2009;&#x003D;&#x2009;0.56&#x2005;MPa</td>
<td align="left">73.37</td>
<td align="left">1771.5</td>
<td align="left">75.69</td>
<td align="left">1799.1</td>
</tr>
<tr>
<td align="left">BMEP&#x2009;&#x003D;&#x2009;0.70&#x2005;MPa</td>
<td align="left">86.29</td>
<td align="left">1865.9</td>
<td align="left">86.90</td>
<td align="left">1904.7</td>
</tr>
<tr>
<td align="left">BMEP&#x2009;&#x003D;&#x2009;0.84&#x2005;MPa</td>
<td align="left">91.66</td>
<td align="left">1946.3</td>
<td align="left">90.24</td>
<td align="left">1977.6</td>
</tr>
<tr>
<td align="left">BMEP&#x2009;&#x003D;&#x2009;0.98&#x2005;MPa</td>
<td align="left">95.54</td>
<td align="left">1989.0</td>
<td align="left">94.81</td>
<td align="left">2033.6</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3_2"><label>3.2</label><title>Effect of EGR Ratio on Combustion Characteristics</title>
<p><xref ref-type="table" rid="table-7">Table 7</xref> displays the MHRRs and MTs of the test fuels with EGR at 0.56 and 0.98 MPa BMEP. With the increasing of EGR ratio, the MT decreases obviously.</p>
<table-wrap id="table-7"><label>Table 7</label><caption><title>MHRRs and MTs of test fuels with various EGR ratio</title></caption>
<table frame="hsides">
<colgroup>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left">EGR ratio (&#x0025;)</th>
<th align="center" colspan="4">BMEP&#x2009;&#x003D;&#x2009;0.56&#x2005;MPa</th>
<th align="center" colspan="4">BMEP&#x2009;&#x003D;&#x2009;0.98&#x2005;MPa</th>
</tr>
<tr>
<th/>
<th align="center" colspan="2">D100</th>
<th align="center" colspan="2">D80B20</th>
<th align="center" colspan="2">D100</th>
<th align="center" colspan="2">D80B20</th>
</tr>
<tr>
<th/>
<th align="left">MHRR<break/>(J/&#x00B0;CA)</th>
<th align="left">MT<break/>(K)</th>
<th align="left">MHRR<break/>(J/&#x00B0;CA)</th>
<th align="left">MT<break/>(K)</th>
<th align="left">MHRR<break/>(J/&#x00B0;CA)</th>
<th align="left">MT<break/>(K)</th>
<th align="left">MHRR<break/>(J/&#x00B0;CA)</th>
<th align="left">MT<break/>(K)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">0</td>
<td align="left">73.37</td>
<td align="left">1771.5</td>
<td align="left">75.69</td>
<td align="left">1799.1</td>
<td align="left">95.54</td>
<td align="left">1989.0</td>
<td align="left">94.81</td>
<td align="left">2033.6</td>
</tr>
<tr>
<td align="left">10</td>
<td align="left">73.58</td>
<td align="left">1753.9</td>
<td align="left">76.93</td>
<td align="left">1817.3</td>
<td align="left">95.77</td>
<td align="left">1977.5</td>
<td align="left">94.78</td>
<td align="left">2018.4</td>
</tr>
<tr>
<td align="left">20</td>
<td align="left">72.48</td>
<td align="left">1739.6</td>
<td align="left">75.42</td>
<td align="left">1789.5</td>
<td align="left">95.15</td>
<td align="left">1962.0</td>
<td align="left">95.44</td>
<td align="left">2012.2</td>
</tr>
<tr>
<td align="left">30</td>
<td align="left">71.78</td>
<td align="left">1737.9</td>
<td align="left">76.12</td>
<td align="left">1795.2</td>
<td align="left">95.10</td>
<td align="left">1955.9</td>
<td align="left">95.65</td>
<td align="left">1987.9</td>
</tr>
<tr>
<td align="left">40</td>
<td align="left">70.25</td>
<td align="left">1726.7</td>
<td align="left">74.81</td>
<td align="left">1780.1</td>
<td align="left">93.68</td>
<td align="left">1943.1</td>
<td align="left">93.90</td>
<td align="left">1990.1</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="s4"><label>4</label><title>Engine Emissions</title>
<sec id="s4_1"><label>4.1</label><title>NO<sub>X</sub> Emissions</title>
<p>The NO<sub>X</sub> emissions of D100 and D80B20 at 1800 r/min are shown in <xref ref-type="fig" rid="fig-4">Fig. 4</xref>. It can be observed D80B20 has higher NO<sub>X</sub> emissions than D100. Previous studies have shown that NO is the mainly composition of NO<sub>X</sub> exhausted by diesel engine and meanwhile N<sub>2</sub> and O<sub>2</sub> can react and then produce NO easily when the temperature in cylinder is higher than 1500&#x00B0;C [<xref ref-type="bibr" rid="ref-29">29</xref>,<xref ref-type="bibr" rid="ref-30">30</xref>]. Accordingly, MT has a great influence on NO<sub>X</sub> emissions [<xref ref-type="bibr" rid="ref-31">31</xref>]. The MTs of D80B20 are higher than those of D100 and thereby the NO<sub>X</sub> emissions of D80B20 are higher than D100. <xref ref-type="fig" rid="fig-5">Fig. 5</xref> displays the influence of EGR ratio on NO<sub>X</sub> emissions at 0.56 and 0.98 MPa. With the increasing of EGR ratio, the NO<sub>X</sub> emissions of D100 and D80B20 both significantly decrease mostly due to the decreased MTs. As load increases, the reduction degree of NO<sub>X</sub> emissions with EGR ratio increases. The NO<sub>X</sub> emission of D80B20 is always higher than that of D100, irrespective using EGR or not.</p>
<fig id="fig-4"><label>Figure 4</label><caption><title>NO<sub>X</sub> emissions of D100 and D80B20</title></caption><graphic mimetype="image" mime-subtype="png" xlink:href="EE_17847-fig-4.png"/></fig>
<fig id="fig-5"><label>Figure 5</label><caption><title>Effect of EGR ratio on NO<sub>X</sub> emissions</title></caption><graphic mimetype="image" mime-subtype="png" xlink:href="EE_17847-fig-5.png"/></fig>
</sec>
<sec id="s4_2"><label>4.2</label><title>UFPs Emissions</title>
<p>PM is one of the harmful exhaust pollutants emitted by diesel engines. 2.5&#x223C;220&#x2005;nm particles are defined as UFPs in this study. It has proved that more than 90&#x0025; total PM number concentrations are UFPs. Nucleation mode particle (NCMP), aitken mode particle (AKMP) and accumulation mode particle (ACMP) are included in UFPs emitted by diesel engines. The diameter of NCMP is less than 50&#x2005;nm, AKMP is between 50 and 100&#x2005;nm and ACMP is between 100 and 220&#x2005;nm [<xref ref-type="bibr" rid="ref-10">10</xref>]. The particles with a diameter in the range of 5&#x223C;100&#x2005;nm are mainly composed of volatile organic compounds and sulfates [<xref ref-type="bibr" rid="ref-32">32</xref>]. And the particles with a diameter greater than 100&#x2005;nm are mainly composed of accumulated soot particles and substances attached to the surface [<xref ref-type="bibr" rid="ref-32">32</xref>]. There are differences in the deposition characteristics of particles with different diameters in the human body. Particles with small diameters, especially nuclear particles, are more likely to penetrate into the human respiratory system and endanger human health [<xref ref-type="bibr" rid="ref-3">3</xref>]. <xref ref-type="fig" rid="fig-6">Fig. 6</xref> shows the number concentrations (NCs) and volume concentration (VCs) of UFPs under various loads. The diameter distributions of UFPs are displayed in <xref ref-type="fig" rid="fig-7">Fig. 7</xref>. At 0.14 MPa BMEP, the low thermal condition is not conducive to fuel complete combustion and thereby the UFPs emissions are high. At 0.42 MPa BMEP, although the thermal condition in cylinder has improved, the amount of fuel injection increased. At this time, the quality of the fuel atomization in cylinder is worse than that of 0.14 MPa BMEP. Therefore, the UFPs emission at 0.42&#x2005;MPa BMEP is higher than that of 0.14 MPa BMEP. The NCMPs and AKMPs of two fuels have a very large proportion in NCs while a very small proportion in VCs. The lower viscosity and distillation temperature of n-butanol making D80B20 has higher spray atomization quality and more uniform mixture than D100. In addition, the chemical mechanism of neat butanol is different from the n-butanol/alkane fuel blends. The oxidation of n-butanol starts with H abstraction in the alpha carbon due to the lowest BDE. And due to the reaction R2915, it forms stable butyraldehyde rather than QOOH radicals, degenerates the branching production of OH [<xref ref-type="bibr" rid="ref-33">33</xref>]. N-butanol addictive can greatly reduce the UFPs emissions, and both the VCs and NCs reduced accordingly. At 0.70 MPa BMEP, the VCs and NCs of D80B20 decrease by 46.4&#x0025; and 31.1&#x0025; compared with D100.</p>
<fig id="fig-6"><label>Figure 6</label><caption><title>NCs and VCs of UFPs under various loads</title></caption><graphic mimetype="image" mime-subtype="png" xlink:href="EE_17847-fig-6.png"/></fig>
<fig id="fig-7"><label>Figure 7</label><caption><title>NCs and VCs diameter distributions of UFPs under various loads</title></caption><graphic mimetype="image" mime-subtype="png" xlink:href="EE_17847-fig-7a.png"/><graphic mimetype="image" mime-subtype="png" xlink:href="EE_17847-fig-7b.png"/></fig>
<p><xref ref-type="fig" rid="fig-8">Fig. 8</xref> exhibits the effects of EGR ratios on NCs and VCs of UFPs at 0.14, 0.56 and 0.98 MPa BMEP. <xref ref-type="fig" rid="fig-9">Fig. 9</xref> displays the diameter distribution of UFPs under various EGR ratio. The NCs and VCs of UFPs increase with EGR ratio due to the worse combustion quality. At 0.14 MPa BMEP and 0.56 MPa BMEP, the NCs and VCs of D80B20 are at a low level when the EGR ratio is less than 30&#x0025;. At 0.98 MPa BMEP, the UFPs emissions increase significantly with the increasing of EGR ratio. Further, D80B20 with 10&#x0025; EGR ratio has a lower UFPs emissions than D100 without EGR. <xref ref-type="table" rid="table-8">Table 8</xref> gives the VGMDs and NGMDs of UFPs. The VGMDs and NGMDs of D80B20 are smaller than those of D100. Additionally, the NGMDs and VGMDs of increase with EGR ratio. For example, the NGMDs of D80B20 increases from 58.8 to 84.2&#x2005;nm as EGR ratio increase from 0&#x0025; to 40&#x0025; at 0.98 MPa BMEP.</p>
<fig id="fig-8"><label>Figure 8</label><caption><title>Effects of EGR ratio on NCs and VCs of UFPs</title></caption><graphic mimetype="image" mime-subtype="png" xlink:href="EE_17847-fig-8.png"/></fig>
<fig id="fig-9"><label>Figure 9</label><caption><title>Effects of EGR ratios on NCs and VCs diameter distributions of UFPs</title></caption><graphic mimetype="image" mime-subtype="png" xlink:href="EE_17847-fig-9a.png"/>
<graphic mimetype="image" mime-subtype="png" xlink:href="EE_17847-fig-9b.png"/>
<graphic mimetype="image" mime-subtype="png" xlink:href="EE_17847-fig-9c.png"/>
<graphic mimetype="image" mime-subtype="png" xlink:href="EE_17847-fig-9d.png"/>
<graphic mimetype="image" mime-subtype="png" xlink:href="EE_17847-fig-9e.png"/></fig>

<table-wrap id="table-8"><label>Table 8</label><caption><title>The NGMDs and VGMDs of test fuels</title></caption>
<table frame="hsides">
<colgroup>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
<col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left" rowspan="2">BMEP (MPa)</th>
<th align="center" rowspan="2">EGR (&#x0025;)</th>
<th align="center" colspan="2">NGMD (nm)</th>
<th align="center" colspan="2">VGMD (nm)</th>
</tr>
<tr>
<th align="left">D100</th>
<th align="left">D80B20</th>
<th align="left">D100</th>
<th align="left">D80B20</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left" rowspan="5">0.14</td>
<td align="left">0</td>
<td align="left">58</td>
<td align="left">57.3</td>
<td align="left">116</td>
<td align="left">113.9</td>
</tr>
<tr>
<td align="left">10</td>
<td align="left">59.3</td>
<td align="left">57.3</td>
<td align="left">116.2</td>
<td align="left">113.6</td>
</tr>
<tr>
<td align="left">20</td>
<td align="left">60.8</td>
<td align="left">57.3</td>
<td align="left">116.2</td>
<td align="left">113.7</td>
</tr>
<tr>
<td align="left">30</td>
<td align="left">62.7</td>
<td align="left">58.5</td>
<td align="left">115.8</td>
<td align="left">113.6</td>
</tr>
<tr>
<td align="left">40</td>
<td align="left">64</td>
<td align="left">59.7</td>
<td align="left">115.7</td>
<td align="left">112.9</td>
</tr>
<tr>
<td align="left">0.42</td>
<td align="left">0</td>
<td align="left">64.6</td>
<td align="left">56</td>
<td align="left">119.5</td>
<td align="left">111.8</td>
</tr>
<tr>
<td align="left" rowspan="5">0.56</td>
<td align="left">0</td>
<td align="left">71.5</td>
<td align="left">60</td>
<td align="left">123.9</td>
<td align="left">112.1</td>
</tr>
<tr>
<td align="left">10</td>
<td align="left">75.1</td>
<td align="left">64.3</td>
<td align="left">124.1</td>
<td align="left">115.8</td>
</tr>
<tr>
<td align="left">20</td>
<td align="left">75.4</td>
<td align="left">66.1</td>
<td align="left">124.9</td>
<td align="left">119.7</td>
</tr>
<tr>
<td align="left">30</td>
<td align="left">73.7</td>
<td align="left">68</td>
<td align="left">127.2</td>
<td align="left">121.6</td>
</tr>
<tr>
<td align="left">40</td>
<td align="left">79.8</td>
<td align="left">71.5</td>
<td align="left">132.5</td>
<td align="left">122.7</td>
</tr>
<tr>
<td align="left">0.7</td>
<td align="left">0</td>
<td align="left">73.3</td>
<td align="left">63</td>
<td align="left">123</td>
<td align="left">117.7</td>
</tr>
<tr>
<td align="left">0.84</td>
<td align="left">0</td>
<td align="left">76.2</td>
<td align="left">60.6</td>
<td align="left">125.4</td>
<td align="left">114.1</td>
</tr>
<tr>
<td align="left" rowspan="5">0.98</td>
<td align="left">0</td>
<td align="left">80</td>
<td align="left">58.8</td>
<td align="left">126.6</td>
<td align="left">114.7</td>
</tr>
<tr>
<td align="left">10</td>
<td align="left">84.1</td>
<td align="left">64.4</td>
<td align="left">130.5</td>
<td align="left">116.2</td>
</tr>
<tr>
<td align="left">20</td>
<td align="left">86.8</td>
<td align="left">70</td>
<td align="left">134.8</td>
<td align="left">122.1</td>
</tr>
<tr>
<td align="left">30</td>
<td align="left">87.7</td>
<td align="left">78</td>
<td align="left">137</td>
<td align="left">129.4</td>
</tr>
<tr>
<td align="left">40</td>
<td align="left">90.3</td>
<td align="left">84.2</td>
<td align="left">139.4</td>
<td align="left">133.5</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="s5"><label>5</label><title>Conclusions</title>
<p>N-butanol can be dissolved in diesel, forming stable and homogeneous blend fuel. Blending n-butanol in diesel can effectively improve the combustion quality and decrease the UFPs emission of diesel engines due to its excellent properties and high oxygen content.
<list list-type="simple">
<list-item><label>(1)</label><p>For each fixed EGR ratio, D80B20 has longer ID, shorter CD and thereby higher in-cylinder temperature than D100. Further, D80B20 has lower UFPs emissions but higher NO<sub>X</sub> emissions. At 0.70&#x2005;MPa BMEP, the ultra-fine particle number concentration and ultra-fine particle volume concentration of D80B20 decreased by 31.1&#x0025; and 46.4&#x0025; respectively compared with D100.</p></list-item>
<list-item><label>(2)</label><p>Both D100 and D80B20 yield less NO<sub>X</sub> emissions as the increase of EGR rate. At 0.98&#x2005;MPa BMEP, NO<sub>X</sub> emissions of D80B20 with 40&#x0025; EGR ratio decreased by 40.4&#x0025; compared to that without EGR. As EGR ratio increases, UFPs emissions increase, similarly, the NGMDs and VGMDs of UFPs also increase.</p></list-item>
<list-item><label>(3)</label><p>At 0.14&#x2005;MPa BMEP and 0.56&#x2005;MPa BMEP, D80B20 with 20&#x0025; EGR ratio can reduce both NO<sub>X</sub> and UFPs emissions simultaneously. At 0.98&#x2005;MPa BMEP, D80B20 with 20&#x0025; EGR ratio can significantly reduce NO<sub>X</sub> emissions while UFPs emissions are also at a low level.</p></list-item>
</list></p>
</sec>
</body>
<back>
<glossary content-type="abbreviations" id="glossary-1">
<title>Abbreviations</title>
<def-list>
<def-item><term>ACMP</term><def><p>Accumulation mode particles</p></def></def-item>
<def-item><term>AKMP</term><def><p>Aitken mode particles</p></def></def-item>
<def-item><term>BMEP</term><def><p>Brake mean effective pressure</p></def></def-item>
<def-item><term>CA</term><def><p>Crank angle</p></def></def-item>
<def-item><term>CD</term><def><p>Combustion duration</p></def></def-item>
<def-item><term>D100</term><def><p>Pure diesel</p></def></def-item>
<def-item><term>D80B20</term><def><p>80&#x0025; diesel and 20&#x0025; n-butanol by vol.</p></def></def-item>
<def-item><term>EGR</term><def><p>Exhaust gas recirculation</p></def></def-item>
<def-item><term>EOC</term><def><p>End of combustion</p></def></def-item>
<def-item><term>ID</term><def><p>Ignition delay</p></def></def-item>
<def-item><term>LHV</term><def><p>Lower heating value</p></def></def-item>
<def-item><term>MHRR</term><def><p>Maximum heat release rate</p></def></def-item>
<def-item><term>MT</term><def><p>Maximum temperature</p></def></def-item>
<def-item><term>NC</term><def><p>Number concentration</p></def></def-item>
<def-item><term>NCMP</term><def><p>Nucleation mode particles</p></def></def-item>
<def-item><term>NGMD</term><def><p>Number geometric mean diameter</p></def></def-item>
<def-item><term>PM</term><def><p>Particulate matter</p></def></def-item>
<def-item><term>SOC</term><def><p>Start of combustion</p></def></def-item>
<def-item><term>SOI</term><def><p>Start of injection</p></def></def-item>
<def-item><term>UFPs</term><def><p>Ultrafine particles</p></def></def-item>
<def-item><term>VC</term><def><p>Volume concentration</p></def></def-item>
<def-item><term>VGMD</term><def><p>Volume geometric mean diameter</p></def></def-item>
</def-list>
</glossary>
<fn-group>
<fn fn-type="other"><p><bold>Funding Statement:</bold> The paper is supported by Innovation Capability Support Program of Shaanxi (Hao Chen received the Grant and Grant No. is 2021TD-28) and Key Research and Development Program of Shaanxi (Hao Chen received the Grant and Grant No. is 2019ZDLGY15-07).</p></fn>
<fn fn-type="conflict"><p><bold>Conflicts of Interest:</bold> The authors declare that they have no conflicts of interest to report regarding the present study.</p></fn>
</fn-group>
<ref-list content-type="authoryear">
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