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A mathematical model is developed to examine the effect of chemical reaction  on MHD mixed convective heat and mass transfer flow of a couple-stress fluid  in vertical porous space in the presence of temperature dependent heat  source with travelling thermal waves. The dimensionless governing equations  are assumed to be made up of two parts: a mean part corresponding to the  fully developed mean flow, and a small perturbed part, using amplitude as a  small parameter. The analytical solution of perturbed part have been carried  out by using the long-wave approximation. The expressions for the  zeroth-order and the first order solutions are obtained and the results of  the heat and mass transfer characteristics are presented graphically for  various values of parameters entering into the problem. It is noted that  velocity of the fluid increases with the increase of the couple stress  parameter and increasing the chemical reaction parameter leads suppress the  velocity of the fluid. Cross velocity decreases with an increase of the  phase angle. The increase of the chemical reaction parameter and Schmidt  number lead to decrease the fluid concentration. The hydrodynamic case for a  non-porous space in the absence of the temperature dependent heat source for  Newtonian fluid can be captured as a limiting case of our analysis by  taking, and α1→0, Da→∞, a→∞

chemical industry and chemical engineering quarterly

Combined effects of chemical reaction and temperature dependent heat source on MHD mixed convective flow of a couple-stress fluid in a vertical wavy porous space with travelling thermal waves