Exact self-similarity solution of the Navier-Stokes equations for a deformable channel with wall suction or injection

E Dauenhauer, J Majdalani - 37th Joint Propulsion Conference And …, 2001 - arc.aiaa.org
This paper describes a self-similarity solution of the Navier-Stokes equations for a laminar,
incompressible, and time-dependent flow that arises in the context of a deforming channel
with permeable walls. The case considered here pertains to a channel that exhibits either
injection or suction across two opposing porous walls while undergoing uniform expansion
or contraction. Instances of direct application include the modeling of pulsating diaphragms,
sweat cooling or heating, isotope separation, filtration, paper manufacturing, irrigation, and …

Exact self-similarity solution of the Navier–Stokes equations for a porous channel with orthogonally moving walls

EC Dauenhauer, J Majdalani - Physics of Fluids, 2003 - pubs.aip.org
This article describes a self-similarity solution of the Navier–Stokes equations for a laminar,
incompressible, and time-dependent flow that develops within a channel possessing
permeable, moving walls. The case considered here pertains to a channel that exhibits
either injection or suction across two opposing porous walls while undergoing uniform
expansion or contraction. Instances of direct application include the modeling of pulsating
diaphragms, sweat cooling or heating, isotope separation, filtration, paper manufacturing …
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