Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 31105
Pulsating Flow of an Incompressible Couple Stress Fluid Between Permeable Beds

Authors: T. K. V. Iyengar, Punnamchandar Bitla


The paper deals with the pulsating flow of an incompressible couple stress fluid between permeable beds. The couple stress fluid is injected into the channel from the lower permeable bed with a certain velocity and is sucked into the upper permeable bed with the same velocity. The flow between the permeable beds is assumed to be governed by couple stress fluid flow equations of V. K. Stokes and that in the permeable regions by Darcy-s law. The equations are solved analytically and the expressions for velocity and volume flux are obtained. The effects of the material parameters are studied numerically and the results are presented through graphs.

Keywords: shear stress, pulsating flow, mass flux, couple stress fluid, permeable beds

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1758


[1] D.N.Ku, D.P.Giddens, C.K. Zairns, S. Glagov, Pulsatile flow and atherosclerosis in human carotid bifurcation: positive correlation between plaque location and low and oscillating shear stress, Arteriosclerosis 5 (1985) 293-302.
[2] R.M.Nerem, M.J.Levesque, Hemodynamics and the arterial wall, Vasc. Disc. (1987) 295-317.
[3] F.Fedele, D.Hitt, R.D.Prabhu, Revisiting the stability of pulsatile pipe flow, European J. of Mech. ÔÇö B/Fluids 24 (2005) 237-254.
[4] Y.C. Wang, Pulsatile flow in a porous channel, J. Appl. Mech. 38 (1971) 553-555.
[5] K. Vajravelu, K. Ramesh, S. Sreenadh, P.V. Arunachalam, Pulsatile flow between permeable beds, Int. J. Non-Linear Mech. 38 (2003) 999-1005
[6] G.S. Beavers, D.D.Joseph : Boundary conditions at a naturally permeable wall. J. Fluid Mech., Vol 30, (1967) 197-207.
[7] V.K.Stokes, Couple Stresses in Fluids, Phys. Fluids., Vol 9,(1966) 1709- 1715.
[8] V.K.Stokes, Theories of Fluids with Microstructure, Springer-Verlag, Berlin 1984.
[9] S.K.Lakshmana Rao and T.K.V.Iyengar, Analytical and computational studies in couple stress fluid flows, U.G.C. Research project C-8-4/82 SR III, (1985)
[10] L.M.Srivastava,Flow of couple stresss fluid through stenotic blood vessels, J.Bio Mech., Vol 18, 479-485 (1985)
[11] L.M.Srivastava, Perstaltic transport of a couple stresss fluid, Rheo.Acta, Vol 25, 638-641 (1986).
[12] N.B.Naduvinamani, P.S.Hiremath and G.Gurubasavaraj : Squeeze film lubrication of a short porous journal bearing with couple stress fluids, Tribo.Inter.,Vol 34, 739-747 (2001).
[13] N.B.Naduvinamani, P.S.Hiremath and G.Gurubasavaraj : Surface roughness effects in a short porous journal bearing with couple stress fluid, Fluid Dyn. Res.,Vol 31, 333-354 (2002).
[14] N.B.Naduvinamani,Syeda Taseem Fathima and P.S.Hiremath: Effects of surface roughness on characteristics of couple stress squeeze film between anisotropic porous rectangular plates, Fluid Dyn. Res., Vol 32, 217-231 (2003).
[15] M.Devakar and T.K.V.Iyengar, Stoke-s problems for an incompressible couple stress fluid, Nonlinear Analysis: Modeling and Control, Vol 1, 181-190 (2008).
[16] M.Devakar and T.K.V.Iyengar, Runup flow a couple stress fluid between parallel plates , Nonlinear Analysis: Modeling and Control, Vol 15, 29-37 (2010).
[17] T.S.L.Radhika and T.K.V.Iyengar, Stokes flow of an incompressible couple stress fluid past a porous spherical shell, Proceedings of International Multi conference of Engineers and Computer Scientists, Vol 3, 1634-1639 (2010)