Analytical Solution of Oscillatory Stokes Flow in a Porous Pipe with Spatiotemporally Periodic Suction/Injection

Abstract

The study presents a generalized analytical solution of the laminar, oscillatory, creeping flow of an incompressible Newtonian fluid in a porous circular pipe with spatiotemporally periodic suction/injection at the wall. The analytical solution is examined for a variety of values of the dimensionless parameters, namely the Womersley number and the dimensionless suction/injection number.

Keywords

• analytical solution
• oscillatory Stokes flow
• periodic suction/injection
• Womersley number
• dimensionless suction/injection number