### 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 - 2011 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Applied Mathematics

### Cite this

*Applied Mathematics E - Notes*,

*11*, 132-138.

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

Research output: Contribution to journal › Article

*Applied Mathematics E - Notes*, vol. 11, pp. 132-138.

}

TY - JOUR

T1 - Traveling wave solutions of Burgers' equation for power-law non-Newtonian flows

AU - Wei, Dongming

AU - Borden, Harry

PY - 2011

Y1 - 2011

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=79956346348&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79956346348&partnerID=8YFLogxK

M3 - Article

VL - 11

SP - 132

EP - 138

JO - Applied Mathematics E - Notes

JF - Applied Mathematics E - Notes

SN - 1607-2510

ER -