RT Journal Article
ID 0ff5a87e3737caad
A1 Sekhar, G. P. Raja
A1 Partha, M. K.
A1 Murthy, P. V. S. N.
T1 Viscous Flow Past a Spherical Void in Porous Media: Effect of Stress Jump Boundary Condition
JF Journal of Porous Media
JO JPM
YR 2006
FD 2006-12-01
VO 9
IS 8
SP 745
OP 767
AB The effect of the spherical void of characteristic size R0 in porous media in an undisturbed uniform flow U∞ is investigated analytically. The flow inside the void is governed by Stokes equation, and the flow in the porous region is governed by Brinkman equation. The stress jump boundary condition proposed by Ochoa-Tapia and Whitaker (Int. J. Heat Mass Transfer, 38, pp. 2636−2655, 1995) for the tangential stresses at the porous liquid interface along with the continuity of velocity components and normal stress is used. The flow field is computed by matching the boundary conditions at the porous fluid interface. It is found that the effect of the void increases with the decrease of permeability. The effect of the stress jump coefficient and porosity on some of the physical quantities, such as volume flow coming inside the void, is analyzed.
PB Begell House
LK https://www.dl.begellhouse.com/journals/49dcde6d4c0809db,24b8ff443c895893,0ff5a87e3737caad.html