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.
|Number of pages||7|
|Journal||Applied Mathematics E - Notes|
|Publication status||Published - Nov 12 2012|
ASJC Scopus subject areas
- Applied Mathematics