Motion through a non-homogeneous porous medium: Hydrodynamic permeability of a membrane composed of cylindrical particles

Pramod Kumar Yadav1
1Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Allahabad, India

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G.G. Stokes, On the Theories of the Internal Friction of Fluids in Motion, and of the Equilibrium and Motion of Elastic Bodies (Cambridge Philosophical Society, 1851)

H.P.G. Darcy, Les fontaines publiques de la ville de Dijon Paris (Victor Dalmont, 1856)

D.D. Joseph, L.N. Tao, Z. Angew. Math. Mech. 44, 361 (1964)

D.A. Nield, A. Bejan, Convection in Porous Media (Springer, New York, 1999)

L. Preziosi, A. Farina, Int. J. Non-Linear Mech. 37, 485 (2002)

G.S. Beavers, D.D. Joseph, J. Fluid Mech. 30, 197 (1967)

I.P. Jones, Proc. Camb. Philos. Soc. 73, 231 (1973)

J. Masliyah, G. Neale, K. Malysa, T.V. de Ven, Chem. Eng. Sci. 4, 245 (1987)

Y. Qin, P.N. Kaloni, Z. Angew. Math. Mech. 73, 77 (1993)

W.W. Hackborn, Can. Appl. Math. Quart. 8, 171 (2000)

I.B. Stechkina, Fluid Dyn. 14, 912 (1979)

I. Pop, P. Cheng, Int. J. Eng. Sci. 30, 257 (1992)

M.P. Singh, J.L. Gupta, Z. Angew. Math. Mech. 54, 17 (1971)

S. Deo, Sadhana 29, 381 (2004)

M. Ellero, M. Kroger, S. Hess, J. Non-Newtonian Fluid Mech. 105, 35 (2002)

A.S. Kim, R. Yuan, J. Membr. Sci. 249, 89 (2005)

E.I. Saad, Meccanica 48, 1747 (2013)

D. Palaniappan, K. Archana, S.K. Khan, Z. Angew. Math. Mech. 77, 791 (1997)

S.M. Datta, Shukla, Cal. Math. Soc. 95, 63 (2003)

P.D. Verma, B.S. Bhatt, J. Pure Appl. Math. 15, 908 (1976)

S. Whitaker, Transp. Porous Media 1, 3 (1986)

F.R. Mandujano, F. Peralta, Rev. Mex. Fis. 51, 87 (2005)

S. Deo, P.K. Yadav, Int. J. Math. Math. Sci. 2008, 651910 (2008)

N.S. Cheng, Z.Y. Hao, S.K. Tan, Exp. Therm. Fluid Sci. 32, 1538 (2008)

S. Deo, P.K. Yadav, A. Tiwari, Appl. Math. Mod. 34, 1329 (2010)

S. Deo, A.N. Filippov, A. Tiwari, S.I. Vasin, V. Starov, Adv. Colloid Interface Sci. 164, 21 (2011)

J. Prakash, G.P. Raja Sekhar, Meccanica 47, 1079 (2012)

O.V. Grigoreva, Sh.Kh. Zaripov, Russ. Aeronaut. 55, 19 (2012)

P.K. Yadav, S. Deo, Meccanica 47, 1499 (2012)

P.K. Yadav, Meccanica 48, 1607 (2013)

M.S. Valipour, S. Rashidi, M. Bovand, R. Masoodi, Eur. J. Mech. 46, 74 (2014)

A. Barletta, L. Storesletten, Int. J. Therm. Sci. 97, 9 (2015)

S. Srinivasan, K.R. Rajagopal, Int. J. Non-Linear Mech. 78, 112 (2016)

B.R. Jaiswal, B.R. Gupta, Meccanica 52, 69 (2017)

E.I. Saad, Meccanica 47, 2055 (2012)

I.V. Chernyshev, Fluid Dyn. 35, 147 (2000)

J. Happel, H. Brenner, Low Reynolds Number Hydrodynamics (Prentice-Hall Inc., UK, 1965) chapt. 4

S.I. Vasin, A.N. Filippov, V.M. Starov, Adv. Coll. Interface Sci. 139, 83 (2008)