RT Journal Article
ID 43b9228740a49530
A1 Semenov, Yu. A.
A1 Cummings, Linda J.
T1 General Solution for Two-Dimensional Corner Flows Under Darcy's
JF International Journal of Fluid Mechanics Research
JO FMR
YR 2005
FD 2006-01-11
VO 32
IS 4
SP 420
OP 438
AB We consider two-dimensional Darcy flow of a viscous incompressible fluid with a free boundary in a corner between two non-parallel walls. The complex potential of the flow constructed in an auxiliary parameter domain admits a general form for the flow generated by a source/sink at the corner vertex or at infinity. We present a method used to construct the flow potential, and obtain an integral equation for the velocity modulus on the free boundary. We discuss a possible numerical procedure to solve this integral equation, and present sample numerical results concerning the initial shape of the free boundary and its time evolution.
PB Begell House
LK https://www.dl.begellhouse.com/journals/71cb29ca5b40f8f8,0dca94b12dc688be,43b9228740a49530.html