Stokes flow between two crossed and sinusoidally corrugated plates

Chongyoup Kim; W. R. Schowalter

doi:10.1080/00986448708911981

Stokes flow between two crossed and sinusoidally corrugated plates

Chongyoup Kim, W. R. Schowalter

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	449-464
Number of pages	16
Journal	Chemical Engineering Communications
Volume	58
Issue number	1-6
DOIs	https://doi.org/10.1080/00986448708911981
Publication status	Published - 1987 Aug 1
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Chemistry(all)
Chemical Engineering(all)

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10.1080/00986448708911981

Cite this

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title = "Stokes flow between two crossed and sinusoidally corrugated plates",

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.",

keywords = "Boundary integral method, Creeping flow, Fluid mechanics, Porous media, Stokes flow, Wavy channels",

author = "Chongyoup Kim and Schowalter, {W. R.}",

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.",

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N2 - 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.

AB - 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.

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Stokes flow between two crossed and sinusoidally corrugated plates

Abstract

Keywords

ASJC Scopus subject areas

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