Publication Cover
Applicable Analysis
An International Journal
Volume 88, 2009 - Issue 7
241
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Expansions at small Reynolds numbers for the flow past a porous circular cylinder

, , &
Pages 1093-1114 | Received 29 Jun 2009, Accepted 30 Jun 2009, Published online: 21 Sep 2010

References

  • Kohr , M and Pop , I . 2004 . Viscous Incompressible Flow for Low Reynolds Numbers , Southampton , , UK : WIT Press .
  • Hsiao , GC and Wendland , WL . 2008 . Boundary Integral Equations: Variational Methods , Heidelberg : Springer–Verlag .
  • Finn , R and Smith , DR . 1967 . On the stationary solutions of the Navier–Stokes equations in two dimensions . Arch. Rational Mech. Anal. , 25 : 26 – 39 .
  • Whitehead , AN . 1889 . Second approximations to viscous fluid motion . Quart. J. Math. , 23 : 143 – 152 .
  • Kaplun , S . 1957 . Low Reynolds number flow past a circular cylinder . J. Fluid Mech. , 6 : 595 – 603 .
  • Proudman , I and Pearson , JRA . 1957 . Expansions at small Reynolds numbers for the flow past a sphere and a circular cylinder . J. Fluid Mech. , 2 : 237 – 262 .
  • Van Dyke , M . 1975 . Perturbation Methods in Fluid Mechanics , New York : Academic Press .
  • Hsiao , GC and MacCamy , RC . 1982 . Singular perturbations for the two-dimensional viscous flow problem . Lect. Notes Math. , 942 : 229 – 244 .
  • Hsiao , GC and MacCamy , RC . 1973 . Solutions of boundary value problems by integral equations of the first kind . SIAM Rev. , 15 : 687 – 705 .
  • Hsiao , GC . 1982 . Integral representations of solutions for two dimensional viscous flow problem . Integr. Eqns. Oper. Theory , 5 : 533 – 547 .
  • Lee , SH and Leal , LG . 1986 . Low-Reynolds-number flow past cylindrical bodies of arbitrary cross-sectional shape . J. Fluid Mech. , 164 : 401 – 427 .
  • Kress , R and Meyer , S . 2000 . An inverse boundary value problem for the Oseen equation . Math. Meth. Appl. Sci. , 23 : 103 – 120 .
  • Power , H . 1990 . Matched-asymptotic analysis of low Reynolds number flow past a cylinder of arbitrary cross-sectional shape . Math. Applic. Comp. , 9 : 111 – 122 .
  • Power , H and Miranda , G . 1987 . Second kind integral equation formulation of Stokes flows past a particle of arbitrary shape . SIAM J. Appl. Math. , 47 : 689 – 698 .
  • Hsiao , GC and Kress , R . 1985 . On an integral equation for the two-dimensional exterior Stokes problem . Appl. Numer. Math. , 1 : 77 – 93 .
  • Power , H . 1993 . The completed double layer boundary integral equation method for two-dimensional Stokes flow . IMA J. Appl. Math. , 51 : 123 – 145 .
  • Kohr , M . 2004 . An application of the method of matched asymptotic expansions for low Reynolds number flow past a cylinder of arbitrary cross-section . Int. J. Math. Math. Sci. , 45–48 : 2525 – 2535 .
  • Matthews , MT and Hill , JM . 2006 . Flow around nanospheres and nanocylinders . Quart. J. Mech. Appl. Math. , 59 : 191 – 210 .
  • Feng , ZH and Michaelidis , EE . 1998 . Motion of a permeable sphere at finite but small Reynolds numbers . Phys. Fluids. , 10 : 1375 – 1383 .
  • Verma , PD and Bhatt , BS . 1974 . Flow past a porous circular cylinder at small Reynolds number . Proc. Ind. Acad. Sci. A , 80 : 174 – 180 .
  • Verma , PD and Bhatt , BS . 1976 . Low Reynolds number flow past a heterogeneous porous sphere using matched asymptotic technique . Appl. Sci. Res. , 32 : 61 – 72 .
  • Singh , MP and Gupta , JL . 1971 . The flow of a viscous fluid past an inhomogeneous porous cylinder . Z. Angew. Math. Mech. , 51 : 17 – 25 .
  • Srivastava , AC and Srivastava , N . 2005 . Flow past a porous sphere at small Reynolds number . Z. Angew. Math. Phys. , 56 : 821 – 835 .
  • Srivastava , AC and Srivastava , N . 2006 . Flow of a viscous fluid at small Reynolds number past a porous sphere with a solid core . Acta Mech. , 186 : 161 – 172 .
  • Kohr , M , Wendland , WL and Raja Sekhar , GP . 2009 . Boundary integral equations for two–dimensional low Reynolds number flow past a porous body . Math. Methods Appl. Sci. , 8 : 922 – 962 .
  • Ochoa-Tapia , JA and Whitaker , S . 1995 . Momentum transfer at the boundary between a porous medium and a homogeneous fluid – I, theoretical development . Int. J. Heat Mass-Transfer , 38 : 2635 – 2646 .
  • Ochoa-Tapia , JA and Whitaker , S . 1995 . Momentum transfer at the boundary between a porous medium and a homogeneous fluid – II, comparison with experiment . Int. J. Heat Mass-Transfer , 38 : 2647 – 2655 .
  • Kuznetsov , AV . 1996 . Analytical investigation of the fluid flow in the interface region between a porous media and a clear flow in channels partially filled with porous medium . App. Sci. Res. , 56 : 53 – 57 .
  • Bhattacharyya , A and Raja Sekhar , GP . 2004 . Viscous flow past a porous sphere with an impermeable core: Effect of stress jump condition . Chem. Eng. Sci. , 59 : 4481 – 4492 .
  • Raja Sekhar , GP , Partha , MK and Murthy , PVSN . 2006 . Viscous flow past a spherical void in porous medium: Effect of stress jump boundary condition . J. Porous Media , 9 : 745 – 767 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.