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ORIGINAL PAPER
Slow Extensional Flow Past a Non-Homogeneous Porous Spherical Shell
1
Department of Applied Sciences Gurukul Vidyapeeth Institute of Engineering and Technology Sector # 7, Banur-140601, Distt. Patiala, Punjab, INDIA
2
Department of Applied Sciences R.B. Institute of Engineering and Biotechnology Sahauran, Kharar-140104, Distt. Mohali, Punjab, INDIA
Online publication date: 2013-06-08
Publication date: 2013-06-01
International Journal of Applied Mechanics and Engineering 2013;18(2):491-502
KEYWORDS
ABSTRACT
An analytical investigation of extensional flow past a porous spherical shell of finite thickness with velocity slip at the surface is presented. The permeability of the shell varies continuously as a function of the radial distance. The flow in the porous region is assumed to obey Darcy’s Law. The drag has been calculated in terms of normal volume flux rate per unit area of the outer and inner surfaces. Particular cases of flow past a homogeneous sphere and no-slip boundary condition have been deduced.
REFERENCES (20)
1.
Alazmi B. and Vafai K. (2001): Analysis of fluid flow and heat transfer interfacial conditions between a porous medium and a fluid layer. - International Journal of Heat and Mass Transfer, vol.44, pp.1735-1749.
2.
Beavers G.S. and Joseph D.D. (1967): Boundary conditions at a naturally permeable wall. - Journal of Fluid Mechanics, vol.30, pp.197-207.
3.
Bhatt B.S. (1993): Slow extensional flow past a sphere. - Modelling, Measurement and Control, vol.51, No.1, pp.41-47.
4.
Bhatt B.S. and Shirley A. (2001): Slow extensional bounded flows. - Differential Equations and Control Processes. http://www.neva.ru/Journal.
5.
Grosan T., Postelnicu A. and Pop I. (2010): Brinkman flow of a viscous fluid through a spherical medium embedded in another porous medium. - Transport in Porous Medium, vol.81, pp.89-103.
6.
Happel J. and Brenner H. (1973): Low Reynolds Number Hydrodynamics. - Noordhoff International Publications: The Netherlands.
7.
Jones I.P. (1973): Low Reynolds number flow past a porous spherical shell. - Proceedings of the Cambridge Philosophical Society, vol.73, pp.231-238.
8.
Kawase Y. and Moo-Young M. (1986): Approximate solutions for power-law fluid flow past a particle at low Reynolds Numbers. - Journal of Non-Newtonian Fluid Mechanics, vol.21, pp.167-177.
9.
Nield D.A. and Bejan A. (2006): Convection in Porous Media. - 2nd Edition. New York: Springer.
10.
Ochao-Tapia J.A. and Whitaker S. (1995a): Momentum transfer at the boundary between a porous medium and a heterogenius fluid -I Theoretical development. - International Journal of Heat and Mass Transfer, vol.38, pp.2635-2646.
11.
Ochao-Tapia J.A. and Whitaker S. (1995b): Momentum transfer at the boundary between a porous medium and a heterogenius fluid -II Comparison with experiment. - International Journal of Heat and Mass Transfer, vol.38, pp.2647-2655.
12.
Padmavathi B.S., Amarnath T. and Nigam S.D. (1993): Stokes flow past a porous sphere using Brinkman model. - Zeitschrift für Angewandte Mathematik und Physik, vol.44, pp.929-939.
13.
Petrie Christopher J.S. (1999): Extensional flows. - Advances in the Flow and Rheology of Non-Newtonian Fluids, vol.8, pp.613-636.
14.
Pop I. and Ingham D.B. (1996): Flow past a sphere embedded in a porous medium based on Brinkman model. - International Communications in Heat and Mass Transfer, vol.23, pp.929-939.
15.
Prakash O. and Rajvanshi S.C. (1975): Stokes flow past a non-homogeneous porous spherical shell with velocity slip. - Journal of Mathematical and Physical Sciences, vol.9, pp.561-570.
16.
Prakash O. and Rajvanshi S.C. (1978): Effective viscosity of a dilute suspension of porous particles. - Journal of Mathematical and Physical Sciences, vol.12, pp.223-228.
17.
Rajvanshi S.C. (1969): Slow flow of Oldroyd fluid past a porous sphere. - Archiwum Mechaniki Stosowanej (Warsaw), vol.21, pp.585-593.
18.
Rudraiah N. and Chandrashekhar D.V. (2005): Flow past an impermeable sphere embedded in a porous medium with Brinkman model. - International Journal of Applied Mechanics and Engineering, vol.10, pp.145-158.
19.
Sahraoui M. and Kaviany M. (1992): Slip and no-slip boundary conditions at interface of porous, plain media. - International Journal of Heat and Mass Transfer, vol.35, pp.927-943.
20.
Srivastava A.C. and Srivastava N. (2005): Flow past a porous sphere at small Reynolds number. - Zeitschrift für Angewandte Mathematik und Physik, vol.56, pp.821-835.
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