<p>Optimizing energy transmission in flow via statistically developed series of experiments plays a significant role in product design and improvement. In this context, the statistical design is formulated employing the response surface methodology (RSM) to analyze the behavior of trihybrid nanoliquid flow over nonlinearly extended geometry. This articulation presents a comprehensive analysis of ternary nanoliquid flow attributes over 3D surface induced by thermophysical property variations. Two prominent thermophysical models Xue and Yamada-Ota are employed to predict the thermal and flow behaviors of tri-hybrid nanoliquid, composed of base fluid infused with three distinct nanoparticles. Energy equation is strengthened by incorporating thermophoresis and Brownian motion features. A set of similar transformation is applied to reduce the constitutive partial differential setup into system of nonlinear ordinary differential. The attained system is solved numerically by implementing RK-4 procedure along with shooting technique. The optimization analysis of heat flux coefficient is conducted utilizing RSM. The consequence of numerous factors affecting the model have been evaluated and are addressed in graphical form. The results reveal that axil component of velocity declines whereas vertical component elevates by varying velocity ratio parameter. It is also deduced that by introducing physical characteristics of Yamada-Ota model thermal distribution dominates as compared to Xue model whereas opposite trend is for concentration distribution. The sensitivity analysis highlights that heat flux coefficient amplifies by varying <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40808_2025_2460_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="35" /> </InlineMediaObject> <EquationSource Format="TEX">\((Nt)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>N</mi> <mi>t</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40808_2025_2460_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="35" /> </InlineMediaObject> <EquationSource Format="TEX">\((Pr)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>P</mi> <mi>r</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> from lower to higher values at middle level of <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40808_2025_2460_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="41" /> </InlineMediaObject> <EquationSource Format="TEX">\(\left(Sc\right).\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mfenced close=")" open="("> <mi>S</mi> <mi>c</mi> </mfenced> <mo>.</mo> </mrow> </math></EquationSource> </InlineEquation> Residual R<sup>2</sup>, 99.77 and 97.47% for Xue and Yamada models presents accuracy of optimized model.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

3D flow of ternary nanofluid over non-linear surface by using surface response methodology with thermophoretic and Brownian aspects and by considering Xue and Yamada conductivity models

  • Asad Ullah,
  • S. Bilal

摘要

Optimizing energy transmission in flow via statistically developed series of experiments plays a significant role in product design and improvement. In this context, the statistical design is formulated employing the response surface methodology (RSM) to analyze the behavior of trihybrid nanoliquid flow over nonlinearly extended geometry. This articulation presents a comprehensive analysis of ternary nanoliquid flow attributes over 3D surface induced by thermophysical property variations. Two prominent thermophysical models Xue and Yamada-Ota are employed to predict the thermal and flow behaviors of tri-hybrid nanoliquid, composed of base fluid infused with three distinct nanoparticles. Energy equation is strengthened by incorporating thermophoresis and Brownian motion features. A set of similar transformation is applied to reduce the constitutive partial differential setup into system of nonlinear ordinary differential. The attained system is solved numerically by implementing RK-4 procedure along with shooting technique. The optimization analysis of heat flux coefficient is conducted utilizing RSM. The consequence of numerous factors affecting the model have been evaluated and are addressed in graphical form. The results reveal that axil component of velocity declines whereas vertical component elevates by varying velocity ratio parameter. It is also deduced that by introducing physical characteristics of Yamada-Ota model thermal distribution dominates as compared to Xue model whereas opposite trend is for concentration distribution. The sensitivity analysis highlights that heat flux coefficient amplifies by varying \((Nt)\) ( N t ) and \((Pr)\) ( P r ) from lower to higher values at middle level of \(\left(Sc\right).\) S c . Residual R2, 99.77 and 97.47% for Xue and Yamada models presents accuracy of optimized model.