TY  - UNPB
ID  - usqep32010
UR  - http://eprints.usq.edu.au/2010/
A1  - Roberts, A. J.
Y1  - 2007/02/17/
N2  - Consider the evolution of a thin layer of non-Newtonian fluid. I model the case of a nonlinear viscosity that depends only upon the shear-rate; power law fluids are an important example, but the analysis is for general nonlinear dependence upon the shear-rate. The modelling allows for large changes in film thickness provided the changes occur over a large enough lateral length scale. The modelling is based on two macroscopic modes by fudging the spectrum: here fiddle the surface boundary condition for tangential stress so that, as well as a mode representing conservation of fluid, the lateral shear flow u ? y is a neutral critical mode. Thus the resultant model describes the dynamics of gravity currents of non-Newtonian fluids when their flow is not very slow. For an introduction I first report on an analogous case of nonlinear diffusive dissipation. 

PB  - University of Southern Queensland
KW  - thin film flow
M1  - technical_report
TI  - Computer algebra models the inertial dynamics of a thin film flow of power law fluids and other non-Newtonian fluids 

AV  - public
EP  - 27
ER  -