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A Thermal Shock-Chemical Reactive Problem in Flow of Viscoelastic Fluid with Thermal Relaxation
Department of Mathematics and Sciences, Faculty of sciences and letters in Al Bukayriyyah, Al-Qassim University, Al-Qassim, Saudi Arabia
Department of Mathematics and Sciences, Faculty of sciences and letters in Al Bukayriyyah, Al-Qassim University, Al-Qassim, Saudi Arabia
- 1 Department of Mathematics and Sciences, Faculty of sciences and letters in Al Bukayriyyah, Al-Qassim University, Al-Qassim, Saudi Arabia
- 2 Department of Mathematics and Sciences, Faculty of sciences and letters in Al Bukayriyyah, Al-Qassim University, Al-Qassim, Saudi Arabia
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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.
KeywordsMHDHeat and Mass TransferBoundary Layer TheoryViscoelastic FluidState Space ApproachLord-Shulman TheoryNumerical Results
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