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

Dongming Wei, Ken Holladay

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)129-135
Number of pages7
JournalApplied Mathematics E - Notes
Volume12
Publication statusPublished - 2012
Externally publishedYes

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Burgers Equation
Traveling Wave Solutions
Fluid Flow
Flow of fluids
Newtonian flow
Non Newtonian flow
Non-Newtonian Flow
Non-Newtonian Fluid
Generalized Equation
Viscous Fluid
Shock
Fluids
Estimate

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Travelling wave solutions of Burgers' equation for Gee-Lyon fluid flows. / Wei, Dongming; Holladay, Ken.

In: Applied Mathematics E - Notes, Vol. 12, 2012, p. 129-135.

Research output: Contribution to journalArticle

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