Refine your search
Collections
Co-Authors
Year
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z All
Iyengar, T.K.V
- Flow of an Incompressible Couple Stress Fluid through an Elliptic Pipe under a Constant Pressure Gradient
Abstract Views :582 |
PDF Views:0
Authors
Affiliations
1 Department of Mathematics, National Institute of Technology, Warangal 506 004, IN
2 Department of Mathematics, AVR & SVR Engineering College, Ayyalur, Nandyal. 518502, IN
1 Department of Mathematics, National Institute of Technology, Warangal 506 004, IN
2 Department of Mathematics, AVR & SVR Engineering College, Ayyalur, Nandyal. 518502, IN
Source
Indian Journal of Applied Engineering Research, Vol 1, No 1 (2013), Pagination: 137-148Abstract
The solution of the flow of an incompressible viscous fluid through a pipe of elliptic cross section under a constant pressure gradient is well known. The present paper is devoted to study the flow of an incompressible couple stress fluid through a straight elliptic pipe of uniform cross section. The flow is assumed to be generated by a constant pressure gradient. The axial velocity component is obtained in terms of Mathieu functions. An expression for the volume flow rate across the pipe is derived. It is numerically evaluated for diverse values of the couple stress parameter, geometric parameter and pressure gradient. The variation of the flux is displayed through graphs.
References
- Abramowitz .M and Stegun .I. A: Hand book of Mathematical Functions with Formulas, Graphs and Mathematical Tables, Dover Publications, INC, New York, 1965.
- N.T.M. EL-Dabe, S.M.G. EL-Mohandis, Effect of couple stresses on pulsatile hydromagnetic Poiseuille flow, Fluid Dyn. Res., 15(5), pp. 313–324, 1995.
- M.Devakar and T.K.V. Iyengar : Stokes’ problems for an incompressible couple stress fluid; Non Linear Analysis: Modelling and Control, 2008, Vol. 1, pp. 181-190
- M.Devakar and T.K.V.Iyengar : Run up flow of a couple stress fluid between parallel plates, Non Linear Analysis: Modelling and Control, 2010, Vol.15 , pp. 1-9.
- A.C.Eringen: Theory of micropolar fluids. J. Math. Mech> , Vol 16, pp. 1-18, 1966.
- T.K.V.Iyengar and Punnamchander : Pulsating flow of an incompressible couple stress fluid between permeable beds with an imposed uniform magnetic field (personal communication…to be published).
- S.K. Lakshmana Rao, T.K.V. Iyengar: Analytical and Computational Studies in Couple Stress Fluid Flows, UGC Research Project: C-8-4/82 SR III, 1985.
- W.E.Langlois: Slow Viscous Flow. The Macmillan company, New York, 1964.
- N.W Mc Lachlan : Theory and Applications of Mathieu Functions; Oxford University Press, London, (1947).
- N.B. Naduvinamani, P.S. Hiremath, G. Gurubasavaraj: Squeeze film lubrication of a short porous journal bearing with couple stress fluids, Tribol. Int., 34(11), pp. 739– 747, 2001.
- N.B. Naduvinamani, P.S. Hiremath, G. Gurubasavaraj: Surface roughness effects in a short porous journal bearing with a couple stress fluid, Fluid Dyn. Res., 31(5–6), pp. 333–354, 2002.
- N.B. Naduvinamani, P.S. Hiremath, G. Gurubasavaraj: Effects of surface roughness on the couple stress squeeze film between a sphere and a flat plate, Tribol. Int., 38(5), pp. 451–458, 2005.
- N.B. Naduvinamani, Syeda Tasneem Fathima, P.S. Hiremath: Hydrodynamic lubrication of rough slider bearings with couple stress fluids, Tribol. Int., 36(12), pp. 949–959, 2003.
- V.P. Rathod and Shakera Thanveer : Pulsatile flow of couple Stress fluid through a porous medium with periodic body acceleration and magnetic field, Bull. Malays.Math. Sci. Soc. (2)32(2) , (2009), pp. 245-259.
- V.K. Stokes: Couple stresses in fluids, Phys. Fluids, 9(9), pp. 1709–1715, 1966.
- V.K. Stokes: Theories of Fluids with Microstructure, Springer, New York,