Radiation Effects on Unsteady Free Convection Heat and Mass Transfer in a WaltersB Viscoelastic Flow Past an Impulsively started Vertical Plate

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Author(s) 
U. Rajeswara Rao, V. Ramachandra Prasad, G. Viswanath, B. Vasu 

KEYWORDS 
Biotechnology processing; Finite difference method; Heat and Mass transfer; Impulsively started vertical plate; Radiation, Schmidt number; Unsteady
viscoelastic flow, Walters–B short memory model. 

ABSTRACT 
A numerical solution of the unsteady radiative, free convection flow with heat and mass transfer of an incompressible viscoelastic fluid past an impulsively started vertical plate is presented here. The WaltersB liquid model is employed to simulate medical cream manufacturing, chemical engineering, and medical biotechnological applications. This rheological model introduces a supplementary terms into the momentum conservation equation. The dimensionless unsteady, coupled and nonlinear partial differential conservation equations for the boundary layer regime are solved by an efficient and accurate finite difference scheme of the Crank Nicolson type. The velocity ,temperature and concentration fields have been studied for the effect of Prandtl number (Pr), Viscoelasticity parameter (G ), Schmidt number (Sc), Buoyancy ratio parameter (N), Radiation parameter (F). The local skinfriction., Nusselt number and Sherwood number are also presented and analysed graphically. It is also observed that, when the viscoelasticity parameter (G) increases, the velocity increases close to the plate surface. An increase in Schmidt number, observed significantly to decrease both velocity and concentration. The present results are compared with available results in literature and are found to be in good agreement. 

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