The flow of a second grade fluid

P. N. Kaloni; A. M. Siddiqui

doi:10.1016/0020-7225(83)90080-0

The flow of a second grade fluid

P. N. Kaloni, A. M. Siddiqui

Penn State York

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

A method for studying plane steady flows of a second grade fluid is discussed. Basic equations are recast in a new curvilinear coordinate system, by employing some results from differential geometry, and the partial differential equations are derived for the coefficients E, F and G of the first fundamental form of the metric, which are taken as unknown functions. By placing certain conditions on these coefficients, a priori, flows are determined which have such a property. Some illustrations in detail are given which reflect the use of this method.

Original language	English (US)
Pages (from-to)	1157-1169
Number of pages	13
Journal	International Journal of Engineering Science
Volume	21
Issue number	10
DOIs	https://doi.org/10.1016/0020-7225(83)90080-0
State	Published - 1983

All Science Journal Classification (ASJC) codes

General Materials Science
General Engineering
Mechanics of Materials
Mechanical Engineering

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10.1016/0020-7225(83)90080-0

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abstract = "A method for studying plane steady flows of a second grade fluid is discussed. Basic equations are recast in a new curvilinear coordinate system, by employing some results from differential geometry, and the partial differential equations are derived for the coefficients E, F and G of the first fundamental form of the metric, which are taken as unknown functions. By placing certain conditions on these coefficients, a priori, flows are determined which have such a property. Some illustrations in detail are given which reflect the use of this method.",

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AB - A method for studying plane steady flows of a second grade fluid is discussed. Basic equations are recast in a new curvilinear coordinate system, by employing some results from differential geometry, and the partial differential equations are derived for the coefficients E, F and G of the first fundamental form of the metric, which are taken as unknown functions. By placing certain conditions on these coefficients, a priori, flows are determined which have such a property. Some illustrations in detail are given which reflect the use of this method.

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The flow of a second grade fluid

Abstract

All Science Journal Classification (ASJC) codes

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