<p>Fluid mechanics theorists and scientists are deeply engaged in efforts to enhance the efficiency of thermal engineering systems. A notable achievement in this field is the use of simulation methods to reduce energy dissipation. Such losses can impair thermal and mechanical functions, stemming from entropy generation and related to irreversible thermodynamic processes. The author concentrates on analysing entropy generation within mechanics problems involving non-Newtonian fluids. Applications span heat exchangers, turbo-machines, combustion systems, nuclear reactor cooling, and many more. The considered problem involves non-similar partial differential equations with various pertained parameters. An approximate solution is obtained using an advanced machine learning approach known as the Multilayer Perceptron Artificial Neural Network (MLP-ANN). The predicted results are compared with those from a numerical solution computed via the implicit finite difference method. The validity and reliability of the proposed MLP-ANN scheme are found to be efficient and accurate. The proposed ANN performance and efficiency are attained at 1.59 <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41939_2025_1017_Article_IEq1.gif" Format="GIF" Height="18" Rendition="HTML" Resolution="72" Type="Linedraw" Width="47" /> </InlineMediaObject> <EquationSource Format="TEX">\(\times {10}^{-8}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>×</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mo>-</mo> <mn>8</mn> </mrow> </msup> </mrow> </math></EquationSource> </InlineEquation>, 2.34 <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41939_2025_1017_Article_IEq1.gif" Format="GIF" Height="18" Rendition="HTML" Resolution="72" Type="Linedraw" Width="47" /> </InlineMediaObject> <EquationSource Format="TEX">\(\times {10}^{-8}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>×</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mo>-</mo> <mn>8</mn> </mrow> </msup> </mrow> </math></EquationSource> </InlineEquation>, 1.57 <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41939_2025_1017_Article_IEq1.gif" Format="GIF" Height="18" Rendition="HTML" Resolution="72" Type="Linedraw" Width="47" /> </InlineMediaObject> <EquationSource Format="TEX">\(\times {10}^{-8}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>×</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mo>-</mo> <mn>8</mn> </mrow> </msup> </mrow> </math></EquationSource> </InlineEquation>, 3.74 <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41939_2025_1017_Article_IEq1.gif" Format="GIF" Height="18" Rendition="HTML" Resolution="72" Type="Linedraw" Width="47" /> </InlineMediaObject> <EquationSource Format="TEX">\(\times {10}^{-8}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>×</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mo>-</mo> <mn>8</mn> </mrow> </msup> </mrow> </math></EquationSource> </InlineEquation>, and 5.58 <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41939_2025_1017_Article_IEq1.gif" Format="GIF" Height="18" Rendition="HTML" Resolution="72" Type="Linedraw" Width="47" /> </InlineMediaObject> <EquationSource Format="TEX">\(\times {10}^{-8}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>×</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mo>-</mo> <mn>8</mn> </mrow> </msup> </mrow> </math></EquationSource> </InlineEquation> against epoch 44, 36, 22, 24, 270 for the data analysis of parameter <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41939_2025_1017_Article_IEq6.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="21" /> </InlineMediaObject> <EquationSource Format="TEX">\(M\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>M</mi> </math></EquationSource> </InlineEquation>. It examines that when the non-Newtonian fluid parameter <InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41939_2025_1017_Article_IEq7.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="30" /> </InlineMediaObject> <EquationSource Format="TEX">\(We\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="italic">We</mi> </mrow> </math></EquationSource> </InlineEquation> grows, then the entropy generation decreases. The flow response output <InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41939_2025_1017_Article_IEq8.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="47" /> </InlineMediaObject> <EquationSource Format="TEX">\(Ng(\eta )\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>N</mi> <mi>g</mi> <mo stretchy="false">(</mo> <mi>η</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> grow against an increasing value of the chemical reaction parameter.</p>

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Novel computational analysis of entropy generation in chemically reactive non-newtonian fluid over a stretching surface with ohmic and viscous dissipation effect: non-similar solution

  • Muhammad Shoaib,
  • Muhammad Imran Khan

摘要

Fluid mechanics theorists and scientists are deeply engaged in efforts to enhance the efficiency of thermal engineering systems. A notable achievement in this field is the use of simulation methods to reduce energy dissipation. Such losses can impair thermal and mechanical functions, stemming from entropy generation and related to irreversible thermodynamic processes. The author concentrates on analysing entropy generation within mechanics problems involving non-Newtonian fluids. Applications span heat exchangers, turbo-machines, combustion systems, nuclear reactor cooling, and many more. The considered problem involves non-similar partial differential equations with various pertained parameters. An approximate solution is obtained using an advanced machine learning approach known as the Multilayer Perceptron Artificial Neural Network (MLP-ANN). The predicted results are compared with those from a numerical solution computed via the implicit finite difference method. The validity and reliability of the proposed MLP-ANN scheme are found to be efficient and accurate. The proposed ANN performance and efficiency are attained at 1.59 \(\times {10}^{-8}\) × 10 - 8 , 2.34 \(\times {10}^{-8}\) × 10 - 8 , 1.57 \(\times {10}^{-8}\) × 10 - 8 , 3.74 \(\times {10}^{-8}\) × 10 - 8 , and 5.58 \(\times {10}^{-8}\) × 10 - 8 against epoch 44, 36, 22, 24, 270 for the data analysis of parameter \(M\) M . It examines that when the non-Newtonian fluid parameter \(We\) We grows, then the entropy generation decreases. The flow response output \(Ng(\eta )\) N g ( η ) grow against an increasing value of the chemical reaction parameter.