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<p>The present study involves the flow, heat and mass transfer characteristics of MHD casson fluid through porous stretching sheet with effects of variable viscosity and uniform heat source. The Lie similarity transformation is used to convert the governing partial differential equations into non-dimensional form. The solutions of transformed equations are found out by most efficient Runge-Kutta method using MATLAB. The solution of transformed governing equations is also obtained by bvp4c method in MATLAB. The effects of various governing parameters on flow, heat and mass transfer are analyzed through drawn graphs and tabular values of skin friction, wall temperature gradient and mass concentration gradient. It is found that velocity decreases with increasing values of casson fluid parameter, magnetic field parameter and porous parameter but temperature shows opposite behavior for increasing values of these parameters. This study has numerous applications in industrial processes, automotive industries aerospace industries, energy systems and in environmental engineering where heat transfer phenomenon used to enhance the efficiency, performance and safety in all these. It has been seen that the present results are in tune with earlier published results in limiting cases.</p>

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Mathematical Analysis of Flow, Heat and Mass Transfer Variations of MHD Casson Fluid Due Effect of Variable Physical Properties Over Stretching Sheet

  • 期刊论文

  • 发表日期：

    2025年8月11日

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  • Mahantesh M. Nandeppanavar,
  • Vinod Jagadevappa

摘要

The present study involves the flow, heat and mass transfer characteristics of MHD casson fluid through porous stretching sheet with effects of variable viscosity and uniform heat source. The Lie similarity transformation is used to convert the governing partial differential equations into non-dimensional form. The solutions of transformed equations are found out by most efficient Runge-Kutta method using MATLAB. The solution of transformed governing equations is also obtained by bvp4c method in MATLAB. The effects of various governing parameters on flow, heat and mass transfer are analyzed through drawn graphs and tabular values of skin friction, wall temperature gradient and mass concentration gradient. It is found that velocity decreases with increasing values of casson fluid parameter, magnetic field parameter and porous parameter but temperature shows opposite behavior for increasing values of these parameters. This study has numerous applications in industrial processes, automotive industries aerospace industries, energy systems and in environmental engineering where heat transfer phenomenon used to enhance the efficiency, performance and safety in all these. It has been seen that the present results are in tune with earlier published results in limiting cases.