Travelling wave solutions of Burgers' equation for Gee-Lyon fluid flows

Dongming Wei; Ken Holladay

Travelling wave solutions of Burgers' equation for Gee-Lyon fluid flows

Dongming Wei, Ken Holladay

Department of Mathematics

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

1 Citation (Scopus)

Abstract

In this work we present some analytic and semi-analytic traveling wave solutions of a generalized Burger' equation for isothermal unidirectional flow of viscous non-Newtonian fluids obeying the Gee-Lyon nonlinear rheological equation. The solutions include the corresponding well-known traveling wave solution of the Burgers' equation for Newtonian flow as a special case. We also derive estimates of shock thickness for the non-Newtonian flows.

Original language	English
Pages (from-to)	129-135
Number of pages	7
Journal	Applied Mathematics E - Notes
Volume	12
Publication status	Published - Nov 12 2012

ASJC Scopus subject areas

Applied Mathematics

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abstract = "In this work we present some analytic and semi-analytic traveling wave solutions of a generalized Burger' equation for isothermal unidirectional flow of viscous non-Newtonian fluids obeying the Gee-Lyon nonlinear rheological equation. The solutions include the corresponding well-known traveling wave solution of the Burgers' equation for Newtonian flow as a special case. We also derive estimates of shock thickness for the non-Newtonian flows.",

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