A numerical method for incompressible non-Newtonian fluid flows based on the lattice Boltzmann method
By M. Yoshino, Y. Hotta, T. Hirozane, Morinobu Endo. 2007
150 citations recorded by the source corpus.
Abstract A new numerical method for incompressible non-Newtonian fluid flows based on the lattice Boltzmann method (LBM) is proposed. The essence of the present method lies in the determination of shear-dependent viscosity of the fluid by using a variable parameter related to the local shear rate. Also, the relaxation time in the BGK collision term is kept at unity taking account of numerical stability. The method is applied to two representative test case problems, power-law fluid flows in a reentrant corner geometry and non-Newtonian fluid flows in a three-dimensional porous structure. These simulations indicate that the method can be useful for practical non-Newtonian fluid flows, such as shear-thickening (dilatant) and shear-thinning (pseudoplastic) fluid flows.
Subfields: Computational Mechanics
View Paper: https://www.semanticscholar.org/paper/6f94a1e1fcd8f00d23118c66be36e3be021f9c0b
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Citations in the corpus
- Natural convection of sodium alginate (SA) non-Newtonian nanofluid flow between two vertical flat plates by analytical and numerical methods (2014, methodology): “[9] presented a new numerical method for incompressible non-Newtonian fluid flows based on the lattice Boltzmann method (LBM).”