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DOUBLE DIFFUSIVE MHD FREE CONVECTIVE FLOW OF WALTER'S LIQUID-B FLUID PAST A NONLINEAR STRETCHING SHEET WITH PARTIAL VELOCITY SLIP

DOI: 10.1615/ICHMT.2017.CHT-7.2000
pages 1889-1903

Gauri S. Seth
Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand-826004, India

Arnab Bhattacharyya
Indian Institute of Technology (Indian School of Mines) Dhanbad-826004, India

Manoj Kumar Mishra
Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand-826004, India

Abstract

An investigation is carried out for the steady of two dimensional double diffusive MHD natural convective flow of an incompressible, electrically conducting viscoelastic fluid over a nonlinearly moving extensible sheet with convective thermal boundary condition taking partial velocity slip into account. To get a similar solution of the problem, the governing flow field equations are transformed into one dimensional differential equations with the help of group theoretic transformations. The approximate solution of the transformed equations are obtained using Galerkin finite method. The developed code of FEM for solving the problem is validated by comparing the results with exact solution of previously published results. Significant findings of the present article are the conjugate effect of partial velocity slip and viscoelasticity of the fluid on Skin friction, Nusselt number, Sherwood number, velocity, temperature and solutal concentration. It is interesting to note that these effect have opposite nature and have tendency to cancel out each other's role on fluid flow characteristics.

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