Traveling wave solutions of Burgers' equation for power-law non-Newtonian flows

Dongming Wei; Harry Borden

Traveling wave solutions of Burgers' equation for power-law non-Newtonian flows

Dongming Wei, Harry Borden

Department of Mathematics

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

3 Citations (Scopus)

Abstract

In this work we present some analytic and semi-analytic traveling wave so lutions of a generalized Burgers′ equation for unidirectional flow of powerlaw non-Newtonian fluids. The solutions include the corresponding well-known traveling wave solution of the Burgers' equation for Newtonian flows. We also derive estimates of shock thickness for the power-law flows.

Original language	English
Pages (from-to)	132-138
Number of pages	7
Journal	Applied Mathematics E - Notes
Volume	11
Publication status	Published - May 27 2011

ASJC Scopus subject areas

Applied Mathematics

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abstract = "In this work we present some analytic and semi-analytic traveling wave so lutions of a generalized Burgers′ equation for unidirectional flow of powerlaw non-Newtonian fluids. The solutions include the corresponding well-known traveling wave solution of the Burgers' equation for Newtonian flows. We also derive estimates of shock thickness for the power-law flows.",

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AU - Borden, Harry

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AB - In this work we present some analytic and semi-analytic traveling wave so lutions of a generalized Burgers′ equation for unidirectional flow of powerlaw non-Newtonian fluids. The solutions include the corresponding well-known traveling wave solution of the Burgers' equation for Newtonian flows. We also derive estimates of shock thickness for the power-law flows.

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JO - Applied Mathematics E - Notes

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