<p>In this work, numerical simulations are undertaken to examine the steady flow of Casson fluid across a moving permeable plate in the presence of a heat source and thermal radiation. Radiative heat transfer plays a significant role in advanced biomedical treatments, particularly in magnetic hyperthermia for targeted cancer therapy, where magnetic fields are used to generate localized heating in tumor tissues without affecting surrounding healthy cells. The Casson fluid (C.F.) model is employed to represent non-Newtonian fluids (NNF) with yield stress, effectively capturing the complex flow behavior encountered in such applications. The present study is also relevant to various industrial processes involving non-Newtonian fluids, porous media, and thermal radiation effects. The Rosseland approximation is used to include thermal radiation into the energy equation, along with a volumetric heat source. The finite RKF4(5) approach is employed to solve the governing flow equations, and the resultant data show the velocity, temperature, and concentration distributions for several parameter values. The findings reveal that an increase in the Casson parameter (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">$\beta$</EquationSource> <EquationSource Format="MATHML"><math> <mi>β</mi> </math></EquationSource> </InlineEquation>) leads to a reduction in fluid velocity due to enhanced yield stress and viscous resistance. Conversely, it raises the temperature contour because more viscous dissipation creates more internal heat. A greater porosity parameter <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$(\text{K}\text{p})$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mtext>Kp</mtext> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> intensifies the flow by reducing flow resistance, but a higher Forchheimer number diminishes the velocity of the flow by increasing interstitial effects. A fluid with a surpassing Prandtl number <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$(\text{P}\text{r})$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mtext>Pr</mtext> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> reduces the temperature of the flow, while a positive heat source intensifies the flow temperature. Furthermore, enhancing the radiation causes the temperature of the fluid to rise, whereas the concentration profiles drop with increasing chemical reaction parameter.</p>

Thermal and electromagnetic transport in Casson fluid flow through porous media with radiation and heat source effects: a numerical study

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发表日期：

2026年7月28日

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N. Venkatesh,
M. Anil Kumar,
Yanala Dharmendar Reddy,
R. Srinivasa Raju,
N. Pothanna

摘要

In this work, numerical simulations are undertaken to examine the steady flow of Casson fluid across a moving permeable plate in the presence of a heat source and thermal radiation. Radiative heat transfer plays a significant role in advanced biomedical treatments, particularly in magnetic hyperthermia for targeted cancer therapy, where magnetic fields are used to generate localized heating in tumor tissues without affecting surrounding healthy cells. The Casson fluid (C.F.) model is employed to represent non-Newtonian fluids (NNF) with yield stress, effectively capturing the complex flow behavior encountered in such applications. The present study is also relevant to various industrial processes involving non-Newtonian fluids, porous media, and thermal radiation effects. The Rosseland approximation is used to include thermal radiation into the energy equation, along with a volumetric heat source. The finite RKF4(5) approach is employed to solve the governing flow equations, and the resultant data show the velocity, temperature, and concentration distributions for several parameter values. The findings reveal that an increase in the Casson parameter ( $\beta$ $β$ ) leads to a reduction in fluid velocity due to enhanced yield stress and viscous resistance. Conversely, it raises the temperature contour because more viscous dissipation creates more internal heat. A greater porosity parameter $(\text{K}\text{p})$ $(Kp)$ intensifies the flow by reducing flow resistance, but a higher Forchheimer number diminishes the velocity of the flow by increasing interstitial effects. A fluid with a surpassing Prandtl number $(\text{P}\text{r})$ $(Pr)$ reduces the temperature of the flow, while a positive heat source intensifies the flow temperature. Furthermore, enhancing the radiation causes the temperature of the fluid to rise, whereas the concentration profiles drop with increasing chemical reaction parameter.