In this work we present some analytic and semi-analytic traveling wave solutions of generalized Burger' equation for isothermal unidirectional flow of viscous non-Newtonian fluids obeying Gee-Lyon nonlinear rheological equation. The solution of Burgers' equation for Newtonian flow as a special case. We also derive estimates of shock thickness for non-Newtonian flows.
Applied Mathematics E-Notes
Wei, Dongming and Holladay, Ken, "Travelling Wave Solutions of Burgers' Equation for Gee-Lyon Fluid Flows" (2012). Mathematics Faculty Publications. Paper 24.: 129