Capillarity driven spreading of power-law fluids

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.

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Betelu, Santiago; Fontelos, M.A.. (2001). Capillarity driven spreading of power-law fluids. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/3582.

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University of Minnesota Twin Cities

University Digital Conservancy

Capillarity driven spreading of power-law fluids

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