Title
Capillarity driven spreading of power-law fluids
Abstract
We investigate the spreading of thin liquid films of power-law rheology. We construct an explicit travelling wave solution and source-type similarity solutions. We show that when the nonlinearity exponent $\lambda$ for the rheology is larger than one, the governing dimensionless equation $h_t+(h^{\lambda+2}|h_{xxx}|^{\lambda-1}h_{xxx})_x=0$ admits solutions with compact support and moving fronts. We also show that the solutions have bounded energy dissipation rate.
Related to
Institute for Mathematics and Its Applications>IMA Preprints Series
Suggested Citation
Betelu, Santiago; Fontelos, M.A..
(2001).
Capillarity driven spreading of power-law fluids.
Retrieved from the University of Minnesota Digital Conservancy,
https://hdl.handle.net/11299/3582.