The horizontal dam break problem for slow non-Newtonian power-law fluids
Résumé
The dam break problem shallow approximation for laminar flows of viscoplastic non-Newtonian fluids is revisited numerically with a time and space second order adaptive method. Theoretical solutions are compared both with some available measurements from the literature and with new ones on silicon. Asymptotic behaviors are studied, both numerically and as obtained from some autosimilar solutions: these theoretical results are compared with experiments. These comparisons confirm the validity of the shallow approximation equations for the horizontal dam break problem.
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