Three dimensional flow and heat transfer through a porous medium with periodic permeability and variable suction velocity

Harsimran Kaur¹, G.N Verma²

¹Research Scholar, P.T.U, Jalandhar, Dept. of Applied Sciences, SUSCET, Tangori ²Supervisor , P.T.U, Jalandhar

*Corresponding Author E-mail: simran1905@gmail.com ; drvermagn@gmail.com

ABSTRACT:

The effect of periodic permeability and periodic suction velocity on heat transfer and flow through a highly porous medium bounded by infinite flat porous surface is studied. The problem is three dimensional due to periodic permeability and variable suction velocity. The expression for the velocity, temperature, skin friction and rate of heat transfer are obtained by using analytical perturbation techniques. It is observed that an increase in Reynolds number (Re) and suction parameter (α) leads to accelerate the flow velocity. Also, increasing suction parameter (α) results a decrease in temperature. The skin friction and rate of heat transfer are discussed with the help of tables.

KEYWORDS: Periodic suction, three dimensional flow, Porous medium.

INTRODUCTION:

Heat and mass transfer in porous media is discussed in a wide range of disciplines as Mechanical Engineering, Biomedical, Chemical Engineering, Food Technology, Petroleum Engineering, Groundwater Hydrology, and Industrial Engineering. The important applications include packed bed reactors, Filtering dry fuel cell, Contamination migration in groundwater, Insulation nuclear reactors and many more. Heat transfer problems have many practical applications in industrial manufacturing processes such as polymer composition. This rapidly increase in research activity has been many due to number of important applications in modern industries ranging from chemical reactors , underground spread of pollutants , heating of rooms, combustion , fires and many other heat transfer processes , both natural and artificial. Heat transfer plays a vital role in designing of car radiators, solar collection, various parts of power plant and even space craft. The basic three mechanism of heat transfer are convection, conduction and radiation.

The problems of flow through porous medium has numerous scientific and engineering applications, in view of these applications a wide research is done and still going on. Raptis (1981) ,studied the free convective flow and mass transfer through a porous medium bounded by infinite vertical surface with constant suction. Raptis (1983), investigated unsteady free convective flow through a porous medium. Adrian Bejan and R.Khair(1985), studied the heat and mass transfer by natural convection in porous medium.Bestman(1989), analysed the unsteady flow of an incompressible fluid in horizontal porous medium with suction.K.D Singh(1993),studied three dimensional viscous flow and heat transfer along a porous plate. K.D.Singh and G.N.Verma(1995), studied three dimensional oscillatory flow through a porous medium with periodic permeability. They also analysed heat transfer in three dimensional flow through a porous medium with periodic permability. N.Ahmed and D.Sarma (1997), studied three dimensional free convective flow and heat transfer through a porous medium. S.S.Das and U.K. Tripathy(2010) , analysed the effect of periodic suction on three dimensional and heat transfer past a vertical porous plate embedded in porous medium. Ujwanta , Hamza and Ibrahim (2011) ,analysed heat and mass transfer through a porous medium with variable permeability and periodic suction. The aim of this paper is to study the effect of periodic suction on three dimensional flow of a viscous incompressible fluid through a highly porous medium. The porous medium is bounded by an infinite horizontal porous surface with periodic suction. The analysis of skin friction which is very important from industry point of view is also studied.

Mathematical Formulation

For mathematical formulation of the problem, we consider the viscous incompressible fluid flow through a highly porous medium bounded by infinite porous surface. The surface lying horizontally on the x*-z* plane, with variable suction. The x*-axis is taken along the infinite surface being the direction of the flow and y*-axis is taken normal to surface directed into fluid flowing laminarly with free stream velocity U. Since surface is considered infinite in x*-direction so all physical quantities are independent of x*, however , flow will be three dimensional due to variation of suction velocity of the form

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Received on 09.01.2014 Accepted on 01.02.2014

Int. J. Tech. 4(1): Jan.-June. 2014; Page 220-226