Numerical investigation of unsteady flow and heat transfer of a free convective second-grade fluid passing through exponentially accelerated vertical porous plate
Abstract
The constitutive equation considered here exhibits the heat transfer and unsteady flow of a second-grade fluid past through a long porous wall vertically. The discretized form of equations is obtained by implementing the method of finite difference of Crank -Nicolson type and solved numerically by resorting highly convergent method called "damped Newton". Two different cases are taken into consideration i.e the plate is accelerating differently at (n = 0.5) and constant acceleration (n = 1) and a comparative study is performed for the obtained results. Influence of various parameters gr, R, Pr and α on the temperature and velocity field are studied through several graphs. The significant finding of the study is that for large Pr values, increases in the viscoelastic parameter α cause a rise in the velocity, Still, a contradicting effect is observed for comparatively smaller Pr values.
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