**InternationaleJournals
**

**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 Kumar ^{1}**

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

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

^{3}Department
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(S_{0}) 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