Stokes flow between two crossed and sinusoidally corrugated plates

Chongyoup Kim, W. R. Schowalter

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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

Bibliographical note

Funding Information:
The authors are grateful for partial support of the Exxon Education Foundation and the National Science Foundation through Grant MSM 8318868. The idea of crossed sinusoids evolved jointly from discussions between one of us (W.R.S.) and Professor James Wei while we were thriving as Sherman Fairchild Distinguished Scholars at the California Institute of Technology.

Keywords

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

ASJC Scopus subject areas

  • General Chemistry
  • General Chemical Engineering

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