Free Convection Flow of a Jeffrey Fluid through a Vertical Deformable Porous Stratum

Authors

1 Department of Mathematics, Sri Venkateswara University, Tirupati- 517502, India

2 Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, Address: 4800 Cao An Rd., Jiading, Shanghai 201804, China

3 Department of Mathematics, Sree Vidyanikethan Engineering College, Tirupati-517502,India

Abstract

Free convective flow of a Jeffrey fluid in a vertical deformable porous stratum is investigated. It is assumed that heat is generated within the fluid by both viscous and Darcy dissipations. The velocity, displacement and the temperature distributions are evaluated using a perturbation method valid for small values of buoyancy parameter . The effects of Jeffrey parameter, and on the flow velocity and solid displacement are discussed in detail. In the absence of Jeffrey parameter, deformable porous parameters and the pressure gradient, all the results reduce to the corresponding results of Rudraiah et al. (1977). Higher skin friction is observed for a given buoyancy force for a non-Newtonian Jeffrey fluid when compared with Newtonian fluid. On comparing deformable and undeformable porous layers of present work and Rudraiah et al. (1977), we conclude that the skin friction gets reduced when the porous material is a deformable one. It is noticed that the effect of increasing Jeffrey parameter is to increase the skin friction in the deformable porous stratum.

Keywords

Journal of Applied Fluid Mechanics
Volume 9, Issue 5
August 2016
Pages 2391-2401

Files

Cited by

Share

How to cite

Statistics