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Steady flow of a viscous fluid through a saturated porous medium of a finite thickness, the bottom of which  is impermeable with a velocity slip and thermally insulated while the other side is stress free and kept at a constant temperature with a uniformly distributed constant heat source

K. Moinuddin1 and N. Ch. Pattabhi Ramacharyulu2

1 Faculty of Mathematics ,  D D E, Maulana  Azad  Nation Urdu University,Hyderabad, A.P.India.

2 Former Faculty of Mathematics , NIT Warangal, Andhra Pradesh, India. E.Mail: kmoinuddin71@gmail.com

 

 

ABSTRACT                                                                 

    This paper deals with a steady flow of a viscous fluid of finite depth in a porous medium over a fixed horizontal, impermeable and thermally insulated bottom with a velocity slip and 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 , Mean Mixed Temperature  in the flow region and the Nusselt number  on the free surface have been obtained. The cases of small values of porosity coefficient and large depth (deep fluid) are also discussed. The results are illustrated   graphically.

Key Words: Porous Medium , Velocity , Temperature , Porosity Coefficient, slip velocity, heat source.

 

 

 

 

 


International eJournal of Mathematical Sciences, Technology and Humanities

Volume 2, Issue 1, Pages:  318 - 328