<p>This study explores the flow dynamics of a biomagnetic fluid carrying thermophoretic particles as it passes over an elastic surface. Nonlinear thermal radiation, non-Fick’s mass flux, magnetic dipole, and bioconvection were all included in the research. The movement of fluids and heat is constructed using linked nonlinear systems of higher partial differentials. They undergo analysis using the Homotopy perturbation technique (HPM) after being converted from partial to ordinary equations by applying the appropriate similarity transformations. The Runge–Kutta–Fehlberg fourth-fifth-order method (RKF-45) scheme and the homotopy perturbation method are then used to compare the results of this analysis. The streamline, temperature, frictional forces, and velocity may all be computed. The effects of different regulating criteria are discussed and shown graphically using a set of tables and figures. As <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$R,\beta$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>R</mi> <mo>,</mo> <mi>β</mi> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <EquationSource Format="TEX">${\theta }_{\rm w}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>θ</mi> <mi mathvariant="normal">w</mi> </msub> </math></EquationSource> </InlineEquation> parameters increase, the fluid temperature also rises. <InlineEquation ID="IEq3"> <EquationSource Format="TEX">${\text{ShRe}}^{-1/2}$</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mtext>ShRe</mtext> </mrow> <mrow> <mo>-</mo> <mn>1</mn> <mo stretchy="false">/</mo> <mn>2</mn> </mrow> </msup> </math></EquationSource> </InlineEquation> enhances for bigger values of both <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$\text{Pr}$</EquationSource> <EquationSource Format="MATHML"><math> <mtext>Pr</mtext> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq5"> <EquationSource Format="TEX">${\theta }_{\rm w} \,\text{but}\, {C}_{\rm f} {\text{Re}}^\frac{1}{2}$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>θ</mi> <mi mathvariant="normal">w</mi> </msub> <mspace width="0.166667em" /> <mtext>but</mtext> <mspace width="0.166667em" /> <msub> <mi>C</mi> <mi mathvariant="normal">f</mi> </msub> <msup> <mrow> <mtext>Re</mtext> </mrow> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </msup> </mrow> </math></EquationSource> </InlineEquation> increases when the <InlineEquation ID="IEq6"> <EquationSource Format="TEX">$A$</EquationSource> <EquationSource Format="MATHML"><math> <mi>A</mi> </math></EquationSource> </InlineEquation> and <i>γ</i> are raised.</p>

Computational analysis of non-Fick’s mass flux flow and thermophoretic particle deposition heat transfer for a biomagnetic fluid over a sheet

期刊论文
发表日期：

2025年9月22日

查看全文

Vinay Acharya,
K. Ganesh Kumar,
M. R. Krishanamurthy,
D. G. Prakasha

摘要

This study explores the flow dynamics of a biomagnetic fluid carrying thermophoretic particles as it passes over an elastic surface. Nonlinear thermal radiation, non-Fick’s mass flux, magnetic dipole, and bioconvection were all included in the research. The movement of fluids and heat is constructed using linked nonlinear systems of higher partial differentials. They undergo analysis using the Homotopy perturbation technique (HPM) after being converted from partial to ordinary equations by applying the appropriate similarity transformations. The Runge–Kutta–Fehlberg fourth-fifth-order method (RKF-45) scheme and the homotopy perturbation method are then used to compare the results of this analysis. The streamline, temperature, frictional forces, and velocity may all be computed. The effects of different regulating criteria are discussed and shown graphically using a set of tables and figures. As $R,\beta$ $R, β$ and ${\theta }_{\rm w}$ $θ_{w}$ parameters increase, the fluid temperature also rises. ${\text{ShRe}}^{-1/2}$ ${ShRe}^{- 1 / 2}$ enhances for bigger values of both $\text{Pr}$ $Pr$ and ${\theta }_{\rm w} \,\text{but}\, {C}_{\rm f} {\text{Re}}^\frac{1}{2}$ $θ_{w} but C_{f} {Re}^{\frac{1}{2}}$ increases when the $A$ $A$ and γ are raised.