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Numerical Study of Unsteady MHD Second Grade Fluid Flow and Heat Transfer Within Porous Channel
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Numerical Study of Unsteady MHD Second Grade Fluid Flow and Heat Transfer Within Porous Channel
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Journal Article
Numerical Study of Unsteady MHD Second Grade Fluid Flow and Heat Transfer Within Porous Channel
2021
Overview
The present investigation incorporates a detailed study of unsteady MHD flow and heat transfer of a second grade fluid between two infinitely long porous plates. With the aid of implicit finite difference scheme the pertinent partial differential equations are transformed and framed as system of algebraic equations. The resulting equations are solved numerically by the help of damped-Newton method, thereafter coded using MATLAB. The impact of variations in dimensionless parameters such as m2 , α , Re for constant acceleration (n=1) and variable acceleration (n=0.5) on velocity and temperature is illustrated. It is noted that the magnetic parameter and Reynolds number have significantly opposite effect on the temperature and velocity profiles for both the instances. Increasing values of Ec and m2 plays a key role in enhancing the temperature at any point of the fluid whereas higher values of Re and α has a pronounced effect on the velocity profile of the fluid.
Publisher
Springer Nature B.V
Subject
