This paper presents a study of a hydromagnetic free convection flow of an electrically conducting micropolar fluid past a vertical plate through a porous medium with a heat source, taking into account the homogeneous chemical reaction of first order. A uniform magnetic field has also been considered in the study which acts perpendicular to the porous surface of the above plate. The analysis has been done by assuming varying permeability of the medium and the Rosseland approximation has been used to describe the radiative heat flux in the energy equation. Numerical results are presented graphically in the form of velocity, micro-rotation, concentration and temperature profiles, the skin-friction coefficient, the couple stress coefficient, the rate of heat and mass transfers at the wall for different material parameters. The study clearly demonstrates how a chemical reaction influences the above parameters under given conditions.
This article offers an analysis of entropy generated in mixed convection due to a vertical stretching cylinder placed in heat-generating fluid-saturated porous medium. The governing system of partial differential equations is subjected to a similarity transformation that results in boundary value problem (BVP) comprising ordinary differentials. The BVP solved numerically by Runge-Kutta integration scheme supplemented with shooting method provides momentum and thermal regimes which are readily exploited to enumerate entropy. The entropy distribution is traced and analysed for various parameters’ values.
The communication pertains to transient magnetohydrodynamics radiative free convection flow with induced magnetic field in a porous medium channel of width L. The setup is subjected to a uniform magnetic field
H
o
* normal to the channel walls and
H
x
* stands for the induced magnetic field. A Cartesian coordinate system is chosen where x*‐axis is taken along the left channel wall and y*‐axis is normal to it. At the time t* = 0, both the walls and the fluid bear a fixed temperature
T
m
*. At the time t* > 0, that is, the onset of the convection, the temperatures of the walls at y* = 0 and at y* = L are just changed to
T
o
* and
T
L
*, respectively, where
T
m
* <
T
o
* and
T
L
* <
T
m
*. The radiative flux qr in the energy equation is assumed to follow the Rosseland approximation. The Keller‐box method has been invoked to solve the governing system encompassing the momentum, energy, and magnetic field equations. The numerical solution strategy yields velocity and temperature distributions, skin friction, and Nusselt number. The velocity and temperature fields are used to compute entropy. Distributions for entropy and Bejan number are shown graphically through two‐dimensional (2D) and 3D plots and discussed. The central objective of this study is to analyze inherent thermodynamic irreversibility. The study has direct applications in plasma aerodynamics and nuclear engineering control where the magnetic field is used as a tool to control flow and heat characteristics. The present study is novel in terms of the objective of the study and the implicit finite difference solution strategy called the Keller‐box method. From the 2D and 3D plots, it is found that the entropy and Bejan number experience qualitative and quantitative variations for varying Brinkman number, radiation parameter, Darcy number, magnetic Prandtl number, Grashoff number, and time. The skin friction and Nusselt number at the channel walls witness qualitative variations for varying parameters.
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