Investigation of heat mass transfer for combined convective slips flow: a lie group analysis

Md. Jashim Uddin, and Hamad, M.A.A and Md. Ismail, A.I (2012) Investigation of heat mass transfer for combined convective slips flow: a lie group analysis. Sains Malaysiana, 41 (9). pp. 1139-1148. ISSN 0126-6039


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The steady laminar combined convective flow with heat and mass transfer of a Newtonian viscous incompressible fluid over a permeable flat plate with linear hydrodynamic and thermal slips has been investigated numerically. The velocity of the external flow, the suction/injection velocity and the temperature of the plate surface are assumed to vary nonlinearly following the power law with the distance along the plate from the origin. Lie group analysis is used to develop the similarity transformations and the governing momentum, the energy conservation and the mass conservation equations are converted to a system of coupled nonlinear ordinary differential equations with the associated boundary conditions. The resulting equations are solved numerically using the Runge-Kutta-Fehlberg fourth-fifth order numerical method. The effects of hydrodynamic slip parameter (a), thermal slip parameter (b), suction/injection parameter (fw), power law parameter (m), buoyancy ratio parameter (N), Prandtl number (Pr) and Schmidt number (Sc) on the fluid flow, heat transfer and mass transfer characteristics are investigated and presented graphically. We have also shown the effects of the Reynolds number (Re) and the power law parameter (m) on the velocity slip and the thermal slip factors. Good agreement is found between the numerical results of the present paper and published results.

Item Type:Article
Keywords:Combined convective flow; heat and mass transfer; hydrodynamic and thermal slip; Lie group
Journal:Sains Malaysiana
ID Code:5477
Deposited By: Mr Azam
Deposited On:29 Aug 2012 03:49
Last Modified:14 Dec 2016 06:38

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