[02189] Improved viscous flow between expanding or contracting permeable walls
Session Time & Room : 2D (Aug.22, 15:30-17:10) @D404
Type : Contributed Talk
Abstract : Solutions to transport models of fluid in contracting/expanding porous vessels remain unknown, and the problem has been restricted to the “slow” expansion/contraction of the walls. I partially address these gaps by generating explicit solutions and improving approximations without the “slowness” dilation rate. Indeed, the homogeneous differential equation is completely solved and this exact solution may be leveraged to form more precise approximations to the flow via perturbation techniques when the Reynolds number is small.