Browsing by Author "Fontelos, M.A."
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Item Analysis of the stick-slip problem for non-Newtonian flows(1999-08) Fontelos, M.A.; Friedman, A.Item Capillarity driven spreading of power-law fluids(2001-04) Betelu, Santiago; Fontelos, M.A.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.Item Some results on the evolution of thin viscous jets(1999-08) Fontelos, M.A.