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.