Creeping flow past and within a permeable spheroid

TY - JOUR

T1 - Creeping flow past and within a permeable spheroid

AU - Vainshtein, P.

AU - Shapiro, M.

AU - Gutfinger, C.

N1 - Funding Information: This work was supported by the Fund for the Promotion of Research at Technion––Israel Institute of Technology.

PY - 2002/12

Y1 - 2002/12

N2 - Flow past and within an isolated permeable spheroid directed along its axis of symmetry is studied. The flow velocity field is solved using the Stokes creeping flow equations governing the fluid motion outside the spheroid, and the Darcy equation within the spheroid. Expressions for the hydrodynamic resistance experienced by oblate and prolate spheroids are derived and analyzed. The limiting cases of permeable circular disks and elongated rods are examined. It is shown that the spheroids resistance varies significantly with its aspect ratio and permeability, expressed via the Brinkman parameter.

AB - Flow past and within an isolated permeable spheroid directed along its axis of symmetry is studied. The flow velocity field is solved using the Stokes creeping flow equations governing the fluid motion outside the spheroid, and the Darcy equation within the spheroid. Expressions for the hydrodynamic resistance experienced by oblate and prolate spheroids are derived and analyzed. The limiting cases of permeable circular disks and elongated rods are examined. It is shown that the spheroids resistance varies significantly with its aspect ratio and permeability, expressed via the Brinkman parameter.

KW - Creeping flow

KW - Flow resistance

KW - Permeability

KW - Porous boundary

KW - Porous particles

KW - Prolate-oblate spheroids

UR - http://www.scopus.com/inward/record.url?scp=0036921064&partnerID=8YFLogxK

U2 - 10.1016/S0301-9322(02)00106-4

DO - 10.1016/S0301-9322(02)00106-4

M3 - 文章

AN - SCOPUS:0036921064

SN - 0301-9322

VL - 28

SP - 1945

EP - 1963

JO - International Journal of Multiphase Flow

JF - International Journal of Multiphase Flow

IS - 12

ER -