Oscillatory viscoelastic flow in rectangular tubes

Mario F. Letelier, Dennis A. Siginer

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The longitudinal flow of a Green-Rivlin fluid in rectangular ducts subject to a small pressure gradient is investigated. An exact solution of the momentum equation is developed. The velocity field is computed for several aspect ratios and for several values of the fluid parameters. The elasticity of the fluid is shown to create complex patterns of flow, as depicted by the instantaneous isovels of the flow. The flow patterns depend mainly on the viscosity index of the fluid, the aspect ratio of the tube and of the selected iinstant of time. These results are useful for understanding both the intrinsic axial flow behavior, and related phenomena such as mass and heat transfer, and secondary flows in the case of fluids best described by constitutive models of the multiple-integral type.

Original languageEnglish
Pages (from-to)19-26
Number of pages8
JournalAmerican Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED
Volume246
Publication statusPublished - 1998

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Fluids
Aspect ratio
Axial flow
Secondary flow
Constitutive models
Pressure gradient
Flow patterns
Ducts
Elasticity
Momentum
Mass transfer
Viscosity
Heat transfer

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

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AB - The longitudinal flow of a Green-Rivlin fluid in rectangular ducts subject to a small pressure gradient is investigated. An exact solution of the momentum equation is developed. The velocity field is computed for several aspect ratios and for several values of the fluid parameters. The elasticity of the fluid is shown to create complex patterns of flow, as depicted by the instantaneous isovels of the flow. The flow patterns depend mainly on the viscosity index of the fluid, the aspect ratio of the tube and of the selected iinstant of time. These results are useful for understanding both the intrinsic axial flow behavior, and related phenomena such as mass and heat transfer, and secondary flows in the case of fluids best described by constitutive models of the multiple-integral type.

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