Analysis of magnetized micropolar fluid subjected to generalized heat-mass transfer theories

Abstract

In this study, the steady 2D flow of micropolar fluid via a vertical surface is taken into account. The magnetohydrodynamics applied normally to the flow direction at a vertical surface in the presence of temperature-dependent attributes. The effect of the chemical reaction under the generalized Fourier–Fick law is considered to investigate the heat transference rate at the vertical sheet. Under the flow assumptions, the boundary layer approximations were applied to the nonlinear differential equations and partial differential equations were obtained. The use of similarity modifications allows for a reduction in the number of partial differential equations. The resulting ordinary differential equations are then resolved numerically using a technique known as the homotopy analysis method. The results reveal that microparticle suspensions have a significant impact on the flowing domain when varied fluid characteristics are utilized. The effect of potential factors on flow, micro-rotation velocities, temperature, drag force factor, and heat transport rate is investigated. The obtained results show that the velocity profile and micropolar function increase for larger values of micropolar parameters. Drag force effects are also seen, and required outcomes are observed to be in outstanding accord with the available literature. Significant results of this work were toward the velocity function, which gets reduced with increasing magnetic field parameter values, but the velocity function enhances for higher values of m:math xmlns:m="http://www.w3.org/1998/Math/MathML" m:mi β /m:mi /m:math \beta and m:math xmlns:m="http://www.w3.org/1998/Math/MathML" m:mi λ /m:mi /m:math \lambda . On temperature distribution, it decreased for higher values of m:math xmlns:m="http://www.w3.org/1998/Math/MathML" m:msub m:mrow m:mi mathvariant="italic" ϵ /m:mi /m:mrow m:mrow m:mn 1 /m:mn /m:mrow /m:msub /m:math {{\epsilon }}_{1} and temperature profile declines due to higher values of m:math xmlns:m="http://www.w3.org/1998/Math/MathML" m:mtext Pr /m:mtext /m:math \text{Pr} , m:math xmlns:m="http://www.w3.org/1998/Math/MathML" m:msub m:mrow m:mi γ /m:mi /m:mrow m:mrow m:mn 2 /m:mn /m:mrow /m:msub /m:math {\gamma }_{2} and m:math xmlns:m="http://www.w3.org/1998/Math/MathML" m:msub m:mrow m:mi γ /m:mi /m:mrow m:mrow m:mn 1 /m:mn /m:mrow /m:msub /m:math {\gamma }_{1} or both cases of m:math xmlns:m="http://www.w3.org/1998/Math/MathML" m:mi δ /m:mi m:mo > /m:mo m:mn 0 /m:mn /m:math \delta \gt 0 and m:math xmlns:m="http://www.w3.org/1998/Math/MathML" m:mi δ /m:mi m:mo < /m:mo m:mn 0 /m:mn /m:math \delta \lt 0 . The higher values of m:math xmlns:m="http://www.w3.org/1998/Math/MathML" m:mtext Sc /m:mtext /m:math \text{Sc} resist declining the temperature function at the surface.