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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Print: 2152-5102
ISSN Online: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v29.i6.60
17 pages

Combined Convection from a Vertical Flat Plate with Temperature Dependent Viscosity and Thermal Conductivity

M. S. Munir
Department of Mathematics, University of Dhaka Dhaka 1000, Bangladesh
Rama Subba Reddy Gorla
Department of Mechanical Engineering, Cleveland State University, Cleveland, OH, 44115 USA; Department of Mechanical Engineering, University of Akron, Akron, Ohio 44325, USA; Department of Mechanical & Civil Engineering, Purdue University Northwest, Westville, IN 46391, USA

ABSTRACT

We consider a two-dimensional mixed convection flow of a viscous incompressible fluid of temperature dependent viscosity and thermal conductivity past a vertical impermeable flat plate. The equations governing the flow are transformed for three different regimes appropriate to the forced convection, free convection and forced-free convection regimes. The reduced equations for the forced convection and free convection regime are solved using the perturbation technique treating x the buoyancy parameter, as the perturbation parameter and those for the forced-free convection regime are obtained using the implicit finite difference method. Numerical results thus obtained are presented in terms of the local shear stress and local surface heat-flux. The effects of the viscosity variation parameter, e, and thermal conductivity parameter, g, on the surface shear stress and the surface heat-flux for the fluid appropriate for Prandtl number ranging from 1 to 100 are shown. The perturbation solutions obtained for small and large values of x are found in excellent agreement with the finite difference solutions for the entire x regime. We also present the values of the dimensionless velocity, viscosity and thermal conductivity showing the effects of viscosity and thermal conductivity parameter.


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