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Volume 4, Issue 3
Numerical Modeling of Shallow Non-Newtonian Flows: Part I. The 1D Horizontal Dam Break Problem Revisited

PIERRE SARAMITO, CLAUDE SMUTEK, AND BENOÎT CORDONNIER

Int. J. Numer. Anal. Mod. B, 4 (2013), pp. 283-298.

Published online: 2013-04

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  • Abstract
The dam break problem shallow approximation for laminar flows of power-law non-Newtonian fluids is numerically revisited under a time and space second order adaptive method. Theoretical solutions are compared with experimental measurements from the literature and new ones made of silicon. Asymptotic behaviours are solved numerically and from autosimilar solutions. The obtained theoretical results are finally compared with experiments. These comparisons confirm the validity of the shallow approximation equations for non-Newtonian fluids subject to the horizontal dam break problem.
  • Keywords

fluid mechanics non-Newtonian fluid power-law model asymptotic analysis shallow water theory

  • AMS Subject Headings

35K65 65M50 65M60 76A05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAMB-4-283, author = {PIERRE SARAMITO, CLAUDE SMUTEK, AND BENOÎT CORDONNIER}, title = {Numerical Modeling of Shallow Non-Newtonian Flows: Part I. The 1D Horizontal Dam Break Problem Revisited}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2013}, volume = {4}, number = {3}, pages = {283--298}, abstract = {The dam break problem shallow approximation for laminar flows of power-law non-Newtonian fluids is numerically revisited under a time and space second order adaptive method. Theoretical solutions are compared with experimental measurements from the literature and new ones made of silicon. Asymptotic behaviours are solved numerically and from autosimilar solutions. The obtained theoretical results are finally compared with experiments. These comparisons confirm the validity of the shallow approximation equations for non-Newtonian fluids subject to the horizontal dam break problem.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/258.html} }
TY - JOUR T1 - Numerical Modeling of Shallow Non-Newtonian Flows: Part I. The 1D Horizontal Dam Break Problem Revisited AU - PIERRE SARAMITO, CLAUDE SMUTEK, AND BENOÎT CORDONNIER JO - International Journal of Numerical Analysis Modeling Series B VL - 3 SP - 283 EP - 298 PY - 2013 DA - 2013/04 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnamb/258.html KW - fluid mechanics KW - non-Newtonian fluid KW - power-law model KW - asymptotic analysis KW - shallow water theory AB - The dam break problem shallow approximation for laminar flows of power-law non-Newtonian fluids is numerically revisited under a time and space second order adaptive method. Theoretical solutions are compared with experimental measurements from the literature and new ones made of silicon. Asymptotic behaviours are solved numerically and from autosimilar solutions. The obtained theoretical results are finally compared with experiments. These comparisons confirm the validity of the shallow approximation equations for non-Newtonian fluids subject to the horizontal dam break problem.
PIERRE SARAMITO, CLAUDE SMUTEK, AND BENOÎT CORDONNIER. (2013). Numerical Modeling of Shallow Non-Newtonian Flows: Part I. The 1D Horizontal Dam Break Problem Revisited. International Journal of Numerical Analysis Modeling Series B. 4 (3). 283-298. doi:
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