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Run-Upflow of a Rivlin-Ericksen Conducting Fluid Through a Planar Channel Bounded By a Porous Bed Under a Transverse Magnetic Field Darcy Lapwood 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, the influence of a densely packed porous lining on the flow of a Rivlin-Ericksen conducting viscoelastic fluid through a parallel plate channel subjected to a traverse magnetic field is considered. The behavior of the velocity of the fluid in clean fluid region as well as the slip velocity discussed at the interface for small and large thickness of the porous bed.  The velocity, Shear stress and mass flux are discussed  for various values of the parameters and are represented graphically. The results are obtained here are more general.

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

 

 

 

 


International eJournal of Mathematical Sciences, Technology and Humanities

Volume 2, Issue 4, Pages:  616 - 634