Exact solution of unsteady MHD free convective flow with constant heat flux: revisited

Michael O Oni

Abstract


An exact solution for unsteady MHD free convective flow of a viscous, incompressible and electrically conducting fluid generated by an impulsive moving vertical plate subjected to constant heat flux proposed by Sacheti et al. [2] has been revisited. General solution of the governing equations is obtained using a combination of Laplace transform and the Riemann-sum approximation method of Laplace inversion. The expressions for the velocity and skin friction are obtained. The variations of the velocity with respect to the governing parameters such as, Grashof number, Prandtl number and Hartmann number have been discussed with the aid of line graphs. Numerical values of the dimensionless velocity is obtained and compared with the benchmark values reported by Sacheti et al. [2] and an excellent agreement is found. This article aimed at correcting some discrepancy in the skin friction presented by Sacheti et al. [2]. An advantage of the proposed method could be a reduction of computation time.



DOI: http://doi.org/10.11591/ijape.v10.i2.pp%25p
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