### 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 - 2012 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Applied Mathematics

### Cite this

*Applied Mathematics E - Notes*,

*12*, 129-135.

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

Research output: Contribution to journal › Article

*Applied Mathematics E - Notes*, vol. 12, pp. 129-135.

}

TY - JOUR

T1 - Travelling wave solutions of Burgers' equation for Gee-Lyon fluid flows

AU - Wei, Dongming

AU - Holladay, Ken

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84868558599&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84868558599&partnerID=8YFLogxK

M3 - Article

VL - 12

SP - 129

EP - 135

JO - Applied Mathematics E - Notes

JF - Applied Mathematics E - Notes

SN - 1607-2510

ER -