TY - JOUR

T1 - A boundary integral equation solution of the stokes flow due to the motion of an arbitrary body near a plane wall with a hole

AU - Gavze, E.

PY - 1990

Y1 - 1990

N2 - A boundary integral equation technique is presented for solving the low Reynolds number hydrodynamic interaction of a rigid body with a plane wall and a hole. Such a problem occurs during the process of filtration by a multipore or similar devices. The proposed technique utilizes the Green function of the Stokes equation for the infinite plane wall to eliminate all unknowns on the plane wall. A system of two integral equations is derived, for the stresses on the surface of the body and for the velocity in the hole; this system is later reduced to a single equation. The proposed technique is applicable to a hole and a body of arbitrary shape and no symmetry is required.

AB - A boundary integral equation technique is presented for solving the low Reynolds number hydrodynamic interaction of a rigid body with a plane wall and a hole. Such a problem occurs during the process of filtration by a multipore or similar devices. The proposed technique utilizes the Green function of the Stokes equation for the infinite plane wall to eliminate all unknowns on the plane wall. A system of two integral equations is derived, for the stresses on the surface of the body and for the velocity in the hole; this system is later reduced to a single equation. The proposed technique is applicable to a hole and a body of arbitrary shape and no symmetry is required.

KW - Stokes flow

KW - boundary integral equation

KW - filtration flow

UR - http://www.scopus.com/inward/record.url?scp=0025429490&partnerID=8YFLogxK

U2 - 10.1016/0301-9322(90)90080-3

DO - 10.1016/0301-9322(90)90080-3

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0025429490

SN - 0301-9322

VL - 16

SP - 529

EP - 543

JO - International Journal of Multiphase Flow

JF - International Journal of Multiphase Flow

IS - 3

ER -