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Transient Mixed Convection Boundary Layer Flow of an Incompressible Fluid Past a Wedge in Presence of Magnetic Field
Applied and Computational Mathematics
Volume 8, Issue 1, February 2019, Pages: 9-20
Received: Feb. 1, 2019; Accepted: Mar. 11, 2019; Published: Mar. 25, 2019
Authors
Shayma Joya Saha, Department of Applied Mathematics, University of Dhaka, Dhaka, Bangladesh
Litan Kumar Saha, Department of Applied Mathematics, University of Dhaka, Dhaka, Bangladesh
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Abstract
In this paper, an analysis is performed to explorethe transient, laminar two-dimensional, mixed convection boundary layer flow of a viscous and incompressible fluid past a vertical wedge taking into account the effect of magnetic field. With appropriate transformations the boundary layer equations are reduced to a local nonsimilarity equations and the solutions are obtained employing three distinct methods, namely, (i) perturbation method for small time; (ii) asymptotic solution method for large time; (iii) straight forward finite difference method for any time. The agreement between the solutions obtained from prescribed methods is found to be excellent. In this study the evaluation of skin-friction coefficient and the local Nusselt number with the effects of different governing parameters such as different time, τ, the exponent, m (= 0.4, 0.5, 1.0), mixed convection parameter, λ (= 0.0, 0.2, 0.4) and magnetic field parameter, M (=0.0, 1.0) for fluids having Prandtl number, Pr= 0.72, 1.0 and 7.0have been discussed. It is observed that both the local skin friction and local Nusseltnumber decreases due to an increase in the value of M. It is also found that an increase in the value of Prandtl number, Pr, leads to a decrease in the value of local skin friction coefficient and the value of local Nusselt number coefficient increases with the increasing values of Prandtl number.
Keywords
Transient Flow, Mixed Convection, Magnetohydrodynamics, Boundary Layer, Wedge Flow
Shayma Joya Saha, Litan Kumar Saha, Transient Mixed Convection Boundary Layer Flow of an Incompressible Fluid Past a Wedge in Presence of Magnetic Field, Applied and Computational Mathematics. Vol. 8, No. 1, 2019, pp. 9-20. doi: 10.11648/j.acm.20190801.13
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