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A Fluid Flow and heat transfer problem in porous media with a uniformly distributed constant heat source in the flow region.

K.Moinuddin
Faculty of Mathematics, Maulana Azad Nation Urdu University, Hyderabad, Telangana, India. E-mail: kmoinuddin71@gmail.com

Abstract

This paper deals with a steady forced convective flow of a viscous fluid of finite depth in a porous medium over a fixed horizontal, impermeable bottom with a uniformly distributed constant heat source in the flow region. Exact solutions of Momentum and Energy equations are obtained when the temperatures on the fixed bottom and on the free surface are prescribed. Flow rate, Mean velocity, Temperature, Mean Temperature in the flow region and the heat transfer rate on the boundaries have been obtained. The cases of large and small values of porosity coefficient have been obtained as limiting cases.

 

KeyWords: Porous Medium, Velocity, Flow rate, Temperature, Mean temperature, Nusselt number, Porosity parameter.

 

 

 

 

 

International eJournal of Mathematics and Engineering
Volume
7, Issue
4, Pages:  84 - 93