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

Dongming Wei, Harry Borden

Research output: Contribution to journal › Article

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 languageEnglish
Pages (from-to)132-138
Number of pages7
JournalApplied Mathematics E - Notes
Volume11
Publication statusPublished - 2011
Externally publishedYes

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Non Newtonian flow
Non-Newtonian Flow
Burgers Equation
Traveling Wave Solutions
Power Law
Newtonian flow
Non-Newtonian Fluid
Generalized Equation
Traveling Wave
Shock
Estimate

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Traveling wave solutions of Burgers' equation for power-law non-Newtonian flows. / Wei, Dongming; Borden, Harry.

In: Applied Mathematics E - Notes, Vol. 11, 2011, p. 132-138.

Research output: Contribution to journal › Article

Wei, D & Borden, H 2011, 'Traveling wave solutions of Burgers' equation for power-law non-Newtonian flows', Applied Mathematics E - Notes, vol. 11, pp. 132-138.
Wei D, Borden H. Traveling wave solutions of Burgers' equation for power-law non-Newtonian flows. Applied Mathematics E - Notes. 2011;11:132-138.
Wei, Dongming ; Borden, Harry. / Traveling wave solutions of Burgers' equation for power-law non-Newtonian flows. In: Applied Mathematics E - Notes. 2011 ; Vol. 11. pp. 132-138.
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