Stokes flow between two crossed and sinusoidally corrugated plates

Chongyoup Kim, W. R. Schowalter

Research output: Contribution to journalArticle

Abstract

The flow space formed between two wavy surfaces when the wave directions are mutually orthogonal is a model for flow through a porous medium. The model allows for both tortuosity and connectivity of flow channels but contains surfaces that are described by simple continuous functions. Characteristics of the creeping motion of an incompressible Newtonian fluid in such a flow space are presented. Results from a boundary integral solution to the equations of motion compare well with those obtained from a perturbation expansion valid for a slowly varying distance between channel walls. It is found that under certain conditions one or more recirculation eddies exist in the cavities formed by wall corrugations transverse to the flow direction.

Original languageEnglish
Pages (from-to)449-464
Number of pages16
JournalChemical Engineering Communications
Volume58
Issue number1-6
DOIs
Publication statusPublished - 1987 Aug 1
Externally publishedYes

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Channel flow
Equations of motion
Porous materials
Fluids
Direction compound

Keywords

  • Boundary integral method
  • Creeping flow
  • Fluid mechanics
  • Porous media
  • Stokes flow
  • Wavy channels

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Chemistry(all)

Cite this

Stokes flow between two crossed and sinusoidally corrugated plates. / Kim, Chongyoup; Schowalter, W. R.

In: Chemical Engineering Communications, Vol. 58, No. 1-6, 01.08.1987, p. 449-464.

Research output: Contribution to journalArticle

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