Wave regimes on a nonlinearly viscous fluid film flowing down a vertical plane |
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Authors: | O Yu Tsvelodub V Yu Shushenachev |
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Institution: | (1) Kutateladze Institute of Thermophysics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090 |
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Abstract: | The flow of a thin film of a nonlinearly viscous fluid whose stress tensor is modeled by a power law, flowing down a vertical
plane in the field of gravity, is considered. For the case of low flow rates, an equation that describes the evolution of
surface disturbances is derived in the long-wave approximation. The domain of linear stability of the trivial solution is
found, and weakly nonlinear, steady-state travelling solutions of this equation are obtained. The mechanism of branching of
solution families at the singular point of the neutral curve is described.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 3, pp. 73–84, May–June, 2005. |
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Keywords: | rheological fluid power law downward film evolution equation |
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