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Effects of Soret and Radiation on Unsteady Heat and Mass Transfer of a Chemical Reactive Fluid Past a Semi-Infinite Vertical Plate with Viscous Dissipation
 

E Ranjit Kumar1, J Anand Rao2, MN Raja Shekar3

1Department of Mathematics, Rayalaseema University, Kurnool, Andhra Pradesh, India.

2Department of Mathematics, University College of Science, Osmania University, Hyderabad, Telangana State, India.

3Department of Mathematics, JNTUH College of Engineering Jagtial, Telangana State, India.

 

 

ABSTRACT

This paper probes the Soret and radiation effects on unsteady MHD free convection of a chemical reactive flow past a semi-infinite vertical plate with viscous dissipation. The resulting governing equations are transformed into dimensionless equations with the help of dimensionless quantities. These dimensionless equations are discretized by Galerkin finite element method and subsequently using the implicit finite difference scheme, we obtain the system of algebraic equations. This system is being solved by the Cranck-Nicolson method using C-programe. Numerical solutions were found on the varying governing parameters like the chemical reaction parameter (Kr), the Eckert number (Ec), the thermal Grashof number (Gr), the solutal Grashof number (Gc), heat absorption parameter (S),the Prandtl number(Pr), the radiation parameter(R), the Schmidt number(Sc), Soret number(S0) the expressions for physical quantities namely concentration, temperature and  velocity were obtained along with the respective numerical values. Velocity, Temperature and Concentration profiles graphs were drawn for different controlling parameters revealing the tendency of the solution.

 

 

 

 

InternationaleJournal of Mathematical Sciences, Technology and Humanities
Volume
7, Issue
1, Pages:  1 - 11