[1] | Brinkman H. C., 1947, A calculation of viscous force exerted by a flowing fluid on a dense swarm of particles, J. Appl. Sci. Res. A1: 27 – 34 |
[2] | Uchida, S., 1954, Viscous flow in multiparticle systems: slow viscous flow through a mass of particles, Int. Sci. Technol. Univ. Tokyo (in Japanese) 3; 97- Abstract: Ind. Engng. Chem. 46, 1194-1195 (translated by T. Motai) |
[3] | Brenner H., 1957, Eng. Sc. D. thesis, New York University |
[4] | Happel J., 1958, Viscous flow in multiparticle system: Slow motion of fluids relative to beds of spherical particles, J A I Ch E 4(2): 197-201 |
[5] | Happel J., 1959, Viscous flow relative to arrays of cylinders, A.I.Ch.E.5 (2):174-177 |
[6] | Deo, S., Yadav, P.K. and Tiwari, A., 2010, Slow viscous flow through a membrane built up from porous cylindrical particles with an impermeable core, Appl. Math. Mod., 34, 1329-1343 |
[7] | Jones I. P., 1973, Low Reynolds number flow past a porous spherical shell, Proc. Camb. Philos. Soc. 73: 231-238 |
[8] | Qin Yu, and Kaloni P. N., 1988, A Cartesian tensor solution of the Brinkman equation, J. Engng Math 22: 177-188 |
[9] | Davis R. H. and Stone H. A., 1993, Flow through beds of porous particles. Chem Engng Sci 48 (23) 3993-4005 |
[10] | Bhatt B. S., 1993, Slow extensional flow Past a sphere, Modelling Measurement Cont B ASME 51(1), 167-177 |
[11] | Padmavati B. S., Amaranath T., Palaniappan D., 1994, Stokes flow past a permeable sphere, Non-axisymmetric case ZAMM 74(7): 290-292 |
[12] | Givler R. C. and Altobelli S. A., 1994, A determination of the effective viscosity for the Brinkman Forchheimer flow model, J. Fluid Mech. 258, 355-370 |
[13] | Dassios G., 1994, Hadjinicolaou M. and Payatakes A. C.: Generalized eigenfunctions and complete semiseparable solutions for Stokes flow in spheroidal co-ordinates, Q. Appl. Math. 52, 157-191 |
[14] | Dassios G., Hadjinicolaou M., Coutelieris F. A. and Payatakes A. C., 1995 Stokes flow in spheroidal particle-in-cell models with Happel and Kuwabara boundary conditions, Int. J. Engng. Sci. 33(10), 1465-1490 |
[15] | Ochoa-Tapia J. A., Whitaker S., 1995(a), Momentum transfer at the boundary between a porous medium and a heterogeneous fluid-I, Theoretical development, Int. J. Heat Mass Transfer 38:2635-2646 |
[16] | Ochoa-Tapia J. A., Whitaker S., 1995 (b), Momentum transfer at the boundary between a porous medium and a heterogeneous fluid-II, comparison with experiment. Int J Heat Mass Transfer38: 2647-2655 |
[17] | Kuznetsov A. V., 1996, Analytical investigation of the fluid flow in the interface region between a porous media and a clear fluid in channels partially filled with porous medium, Appl. Sci Res. 56: 53-67 |
[18] | Kuznetsov A. V., 1998, Analytical investigation of Couette flow in a composite channel partially filled with a porous media and partially with a clear fluid, Int. J. Heat Mass transfer 41, 2556-2560 |
[19] | Zlatanovski, T., 1999, Axisymmetric creeping flow past a porous prolate spheroidal particle using the Brinkman model, Quart. J. Mech. Appl. Math. 52(1), 111-126 |
[20] | Raja-Sekhar G. P., Amaranath T., 2000, Stokes flow inside a porous spherical shell, Ziet Angew Math Phys 51 No.-3: 481- 490 |
[21] | Bhatt B. S. and Shirley A., 2001, Slow extensional bounded flows, Differential equations and control processes N 1: 1-9 |
[22] | Datta, S. and Deo S., 2002, Stokes flow with slip and Kuwabara boundary conditions, Proc. Ind. Acad. Sci. (Math. Sci.),112 (3), 463-475 |
[23] | Bhattacharyya A., Raja Sekhar G. P., 2004, Viscous flow past a porous sphere with an impermeable core:effect of stress jump condition, Chem Eng Sci 59: 4481-4492 |
[24] | Bhattacharyya A., Raja Sekhar G. P., 2005, Stokes flow inside a porous spherical shell: Stress jump boundary condition, ZAMP 56: 475-496 |
[25] | Srivastava A. C., Srivastava N., 2005, Flow past a porous sphere at small Reynolds numbers, ZAMP 56: 821-835 |
[26] | Deo, S. and Yadav, P. K., 2008, Creeping flow past a swarm of porous deformed oblate spheroidal particles with kuwabara boundary condition, Bull. Cal. Math. Soc., 100, (6) 617-630 |
[27] | Chandesris M., Jamet D., 2006, Boundary conditions at a planar fluid-porous interface for a Poiseuille flow, Int J Heat Mass Transfer 49: 2137-2150 |
[28] | Valdes-Parada F. J., Goyeau B., Ochoa-Tapia J. A., 2006, Diffusive mass transfer between a microporous medium and an homogeneous fluid: jump boundary condition, Chem Engng Sci 61: 1692-1704 |
[29] | Chandesris M., Jamet D., 2007, Boundary conditions at a fluid-porous interface: An a priori estimation of the stress jump coefficients, Int J Heat Mass Transfer50: 3422-3436. |
[30] | Valdes-Parada F. J., Goyeau B., Ochoa-Tapia J A., 2007, Jump momentum boundary condition at a fluid-porous dividing surface: derivation of the closure problem.between a microporous medium and an homogeneous fluid: jump boundary condition, Chem Engng Sci 61: 1692-1704 (2006) Chem Engng Sci 62: 4025-4039 |
[31] | Happel J., Brenner H., 1983, Low Reynolds Number Hydrodynamics Martinus Nijoff,, The Hague,Netherlands |
[32] | Abramowitz M., Stegun I. A., 1970, Handbook of Mathematical Functions. Dover Publications, New York |