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 |
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ASJC Scopus subject areas
- Applied Mathematics
Cite this
Wei, D., & Holladay, K. (2012). Travelling wave solutions of Burgers' equation for Gee-Lyon fluid flows. Applied Mathematics E - Notes, 12, 129-135.