A Thermal Shock-Chemical Reactive Problem in Flow of Viscoelastic Fluid with Thermal Relaxation

Magdy A. Ezzat, Wisam Khatan

Department of Mathematics and Sciences, Faculty of sciences and letters in Al Bukayriyyah, Al-Qassim University, Al-Qassim, Saudi Arabia.

DOI: 10.4236/am.2012.37102                

Abstract

Effects of thermal and species diffusion with one relaxation time on the boundary layer flow of a viscoelastic fluid bounded by a vertical surface in the presence of transverse magnetic field have been studied. The state space approach developed by Ezzat [1] is adopted for the solution of one-dimensional problem for any set of boundary conditions. The resulting formulation together with the Laplace transform techniques are applied to a thermal shock-chemical reactive problem. The inversion of the Laplace transforms is carried out using a numerical approach. The numerical results of dimensionless temperature, concentration, velocity, and induced magnetic and electric fields distributions are given and illustrated graphically for the problem.

Keywords

MHD; Heat and Mass Transfer; Boundary Layer Theory; Viscoelastic Fluid; State Space Approach; Lord-Shulman Theory; Numerical Results

Conflicts of Interest

The authors declare no conflicts of interest.

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