**InternationaleJournals**

**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. Moinuddin ^{1} and N. Ch. Pattabhi Ramacharyulu^{2}**

** ^{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**