Self-similar asymptotics in convergent viscous gravity currents of non-newtonian liquids
We investigate the evolution of the ridge produced by the convergent motion of two substrates, on which a layer of a non-Newtonian power-law liquid rests. We focus on the self-similar regimes that occur in this process. For short times, within the linear regime, the height and the width increase as...
Guardado en:
Autores principales: | , |
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Formato: | Documento de conferencia publishedVersion |
Lenguaje: | Inglés |
Publicado: |
2009
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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_17426588_v166_n_p_Gratton |
Aporte de: |
Sumario: | We investigate the evolution of the ridge produced by the convergent motion of two substrates, on which a layer of a non-Newtonian power-law liquid rests. We focus on the self-similar regimes that occur in this process. For short times, within the linear regime, the height and the width increase as t 1/2, independently of the rheology of the liquid. In the self- similar regime for large time, the height and the width of the ridge follow power laws whose exponents depend on the rheological index. © 2009 IOP Publishing Ltd. |
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