Details

Title

Stokes flow of an incompressible micropolar fluid past a porous spheroidal shell

Journal title

Bulletin of the Polish Academy of Sciences: Technical Sciences

Yearbook

2011

Numer

No 1 March

Publication authors

Divisions of PAS

Nauki Techniczne

Publisher

Polish Academy of Sciences

Date

2011

Identifier

ISSN 0239-7528, eISSN 2300-1917

References

Zlatanovski T. (1999), Axi symmetric creeping flow past a porous prolate spheroidal particle using Brinkman model, Quart. J. Mech. Appl. Math, 52, 111, doi.org/10.1093/qjmam/52.1.111 ; Leonov A. (1962), The slow stationary flow of a viscous fluid about a porous sphere, J. App. Maths. and Mech, 26, 564. ; Joseph D. (1964), The effect of permeability on the slow motion of a porous sphere in a viscous liquid, ZAMM, 44, 361, doi.org/10.1002/zamm.19640440804 ; Singh M. (1970), The effect of permeability on the drag of a porous sphere in a uniform stream, ZAMM, 51, 27. ; Sutherland D. (1970), Sedimentation of a porous sphere, Chem. Eng. Sci, 25, 1948, doi.org/10.1016/0009-2509(70)87013-0 ; Jones I. (1973), Low Reynolds number flow past a porous spherical shell, Proc. Cambridge. Phil. Soc, 1, 231, doi.org/10.1017/S0305004100047642 ; Gupta R. (1974), Slow flow of a viscous fluid past a porous spherical surface in a uniform stream, ZAMM, 54, 815, doi.org/10.1002/zamm.19740541110 ; Nir A. (1976), Linear Shear flow past a porous particle, Appl. Sci. Res, 32, 313, doi.org/10.1007/BF00411782 ; Higdon J. (1981), On the calculation of Stokes flow past porous particles, Int. J. Multi Phase Flow, 7, 719, doi.org/10.1016/0301-9322(81)90041-0 ; Srinivasacharya D. (2003), Creeping flow past a porous approximate sphere, ZAMM, 83, 499, doi.org/10.1002/zamm.200310023 ; Srinivasacharya D. (2007), Flow past a porous approximate shell, ZAMP, 58, 646, doi.org/10.1007/s00033-006-6003-9 ; Eringen A. (1966), Theory of micropolar fluids, Math. Mech, 16, 1. ; Lukaszewicz G. (1999), Micropolar Fluids, Theory and Applications. ; Kucaba-Pietal A. (2004), Microchannels flow modeling with the micropolar fluid theory, Bull. Pol. Ac.: Tech, 52, 3, 209. ; S. Lakshmana Rao (1971), Slow stationary micropolar fluid past a sphere, J. Engg. Math, 4, 209. ; S. Lakshmana Rao (1981), The slow stationary flow of incompressible micropolar fluid past a spheroid, Int. J. Engg. Sci, 19, 189, doi.org/10.1016/0020-7225(81)90021-5 ; Iyengar T. (1993), Stokes flow of an incompressible micropolar fluid past an approximate sphere, Int. J. Engng. Sci, 31, 153, doi.org/10.1016/0020-7225(93)90069-7 ; Ramkisson H. (1976), Drag on an axially symmetric body in the Stokes flow of micropolar fluid, Physics of Fluids, 19, 16, doi.org/10.1063/1.861320 ; Ramkisson H. (1977), Slow steady rotation of axially symmetric body in a micropolar fluid, Applied Sci, 33, 243, doi.org/10.1007/BF00383955 ; Srinivasacharya D. (2004), Creeping flow of micropolar fluid past a porous sphere, Applied Mathematics & Computation, 153, 3, 843, doi.org/10.1016/S0096-3003(03)00681-7 ; Iyengar T. (2011), Stokes flow of an incompressible micropolar fluid past a porous spheroid, Applied Mathematics & Computation, 160. ; Abramowitz M. (1965), Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables. ; Payne L. (1960), The Stokes flow problems for a class of axially symmetric bodies, J. Fluid Mech, 7, 529, doi.org/10.1017/S002211206000027X ; Bhatt B. (1994), Flow past a porous spherical shell using Brinkman model, J. Phy. D: Appl. Phys, 27, 37, doi.org/10.1088/0022-3727/27/1/006 ; Hobson E. (1955), The Theory of Spherical and Ellipsoidal Harmonics. ; G. Raja Sekhar (2000), Viscous flow past a circular/ spherical void in porous media - an application to measurement of the velocity of ground water by the single Boring Method, J. Physical Society of Japan, 69, 8, 2479, doi.org/10.1143/JPSJ.69.2479

DOI

10.2478/v10175-011-0010-5

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