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M. A. Ezzat, M. I. Othman and A. A. Smaan, “State Space Approach to Two-Dimensional Electro-Magneto Thermoelastic Problem with Two Relaxation Times,” International Journal of Engineering Science, Vol. 39, 2001, pp. 1383-1404. doi:10.1016/S0020-7225(00)00095-1.

has been cited by the following article:

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

  AUTHORS: Magdy A. Ezzat, Wisam Khatan

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

  JOURNAL NAME: Applied Mathematics, Vol.3 No.7, June 19, 2012

  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.