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Non-linear thermal radiation and heat transfer effect on MHD flow of a micropolar fluid through a porous medium

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Abstract

The purpose of this study is to investigate how the transmission of heat and radiation affects the motion of an electrically charged micropolar MHD fluid along a stationary horizontal plate in a porous medium. The principal flow direction has been consistently magnetically fielded. At extremes of temperature change, linear thermal radiation causes a noticeable error. These errors may be corrected by using nonlinear thermal radiation. The RK method with a shooting approach was used to numerically solve the non-dimensional differential equations derived from the governing equations. The effects of varying the fluid velocity, temperature distribution, microstructure angular velocity, heat flux coefficient, and shearing stress at the plate have all been studied. Tabular form is used to display the impact of physical parameters on the skin friction coefficient, wall couple stress, local Nusselt number and Sherwood number. It has been discovered that when the coupling parameter and the inertia effect are included, the thickness of the boundary layer decreases dramatically, the velocity profile increases because of the magnetic parameter and back flow forms close to the plate.

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Data sharing not applicable to this article as no datasets were generated or analyzed during the current study.

Abbreviations

\(B_{0}\) :

Applied magnetic field

F :

Velocity function with no dimensions

G :

Angular velocity of a dimensionless microrotation

\(G_A\) :

Microrotation component

R :

Radiation parameter

N :

Rotational speed

Pr :

Prandtl number

T :

Heat flux

\(k_{1}\) :

Coupling constant

u :

X-Velocity

v :

Y-Velocity

K :

Porosity parameter

\({\mathcal {C}}\) :

Forchheimer’s inertia

\(C_{fx}\) :

Skin friction co-effcient

\(C_{p}\) :

Temperature at constant pressure

A :

Porous parameter

\(M_{wx}\) :

Wall couple stress

\(Nu_{x}\) :

Local Nusselt number

\(Sh_{x}\) :

Sherwood number

N :

Inertia Coefficient

\(T_{w}\) :

Fluid’s wall temperature

\(T_{\infty }\) :

The temperature of the fluid away from the sheet

Sc :

Schmidt number

\(\mu\) :

Dynamical viscosity

\(\rho\) :

The fluid’s density

\(\Theta\) :

Indeterminate temperature

\(\nu\) :

Viscosity

\(\Delta\) :

Coupling constant

\(\eta\) :

Similarity variable

\(\lambda\) :

Thermal buoyancy parameter

\(\lambda _c\) :

Species buoyancy parameter

\(\sigma *\) :

Stefan Boltzmann constant

w :

Surface conditions

\(\infty\) :

Remote conditions

\('\) :

Differentiate \(\eta\).

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Authors and Affiliations

  1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, 632 014, India

    K. Varatharaj & R. Tamizharasi

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  1. K. Varatharaj
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Correspondence to R. Tamizharasi.

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Varatharaj, K., Tamizharasi, R. Non-linear thermal radiation and heat transfer effect on MHD flow of a micropolar fluid through a porous medium. J Anal (2024). https://doi.org/10.1007/s41478-024-00777-6

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