Stratification effects on transient Stokes flow in the presence of a permeable boundary

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Abstract

The transient unbounded flow of a stratified viscous fluid over an oscillating permeable boundary has been considered. The viscosity and the density of the fluid have been assumed to decay exponentially in the direction normal to the bounding permeable wall. The initial value problem associated with the resulting diffusion equation, subject to the Beavers-Joseph boundary condition, has been solved analytically. The solution for the transient velocity has been expressed in terms of error and exponential functions of complex arguments. The effects of fluid stratification and the bounding porous medium on the fluid velocity have been analyzed.

Original languageEnglish
Pages (from-to)67-73
Number of pages7
JournalForschung im Ingenieurwesen/Engineering Research
Volume70
Issue number2
DOIs
Publication statusPublished - May 2006

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Fluids
Initial value problems
Exponential functions
Porous materials
Boundary conditions
Viscosity
Rodentia

ASJC Scopus subject areas

  • Mechanical Engineering
  • Engineering (miscellaneous)

Cite this

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abstract = "The transient unbounded flow of a stratified viscous fluid over an oscillating permeable boundary has been considered. The viscosity and the density of the fluid have been assumed to decay exponentially in the direction normal to the bounding permeable wall. The initial value problem associated with the resulting diffusion equation, subject to the Beavers-Joseph boundary condition, has been solved analytically. The solution for the transient velocity has been expressed in terms of error and exponential functions of complex arguments. The effects of fluid stratification and the bounding porous medium on the fluid velocity have been analyzed.",
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N2 - The transient unbounded flow of a stratified viscous fluid over an oscillating permeable boundary has been considered. The viscosity and the density of the fluid have been assumed to decay exponentially in the direction normal to the bounding permeable wall. The initial value problem associated with the resulting diffusion equation, subject to the Beavers-Joseph boundary condition, has been solved analytically. The solution for the transient velocity has been expressed in terms of error and exponential functions of complex arguments. The effects of fluid stratification and the bounding porous medium on the fluid velocity have been analyzed.

AB - The transient unbounded flow of a stratified viscous fluid over an oscillating permeable boundary has been considered. The viscosity and the density of the fluid have been assumed to decay exponentially in the direction normal to the bounding permeable wall. The initial value problem associated with the resulting diffusion equation, subject to the Beavers-Joseph boundary condition, has been solved analytically. The solution for the transient velocity has been expressed in terms of error and exponential functions of complex arguments. The effects of fluid stratification and the bounding porous medium on the fluid velocity have been analyzed.

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