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Run-Upflow of a Rivlin-Ericksen Conducting Fluid Through a Planar Channel with Porous Lining Under a Transverse Magnetic Field - Brinkman Model

D.Malleswari1, D.Raju2 and A.LeelaRatnam3

1 Department of Mathematics, Government Degree College for Women, Begumpet, Hyderabad. A.P. E-mail:  malleswaridammalapati@yahoo.com
2
Vidya Jyothi Institute of Technology, AzizNagar Gate, Hyderabad-500 075, India.E-mail:  20122102india@gmail.com
3
Department of Applied Mathematics, Sri Padmavathi MahilaVisvavidyalayam, Tirupathi, India.E-mail: leeleratnamappikatla@yahoo.com

 

ABSTRACT

        In this paper, we discussed the Run up flow of an incompressible viscoelastic Rivlin-Ericksen fluid through a parallel plate channel bounded by a sparsely packed porous bed subjected to a traverse magnetic field. The velocity in both clean fluid as well as porous zones, the stresses and the mass flux are have been evaluated and their behavior has been computationally discussed for variations in the governing parameters.

Keywords: Run up flow, Visco elasticity, Brinkman equation, Newtonian fluid. 
Mathematical Subject classification:
58 D 30.

 

 


International eJournal of Mathematics and Engineering

Volume 3, Issue 4, Pages:  1775 - 1789