@article{oai:soar-ir.repo.nii.ac.jp:00018051, author = {吉野, 正人 and 堀田, 陽平 and 廣實, 孝史 and 遠藤, 守信}, issue = {2}, journal = {計算数理工学論文集}, month = {Dec}, note = {A lattice Boltzmann method for non-Newtonian fluid flows is proposed. In this method, additional terms based on local shear rate is introduced into the equilibrium distribution function for an incompressible viscous fluid. Channel flows between parallel plates are calculated for shear-thickening and shear-thinning fluids to measure the velocity profiles. The calculated results are in good agreement with theory. Also, the present method is found to be more stable and accurate than other LBM models with variable relaxation time dependent on the local shear rate. In addition, the present method is applied to flows through a two-dimensional porous structure to obtain flow characteristics at a pore scale. The relation between pressure drops and fluid flux (i.e. superficial velocity) is investigated and found to be in accordance with Darcy's law for non-Newtonian fluids., Article, 計算数理工学論文集. 6(2):159-162 (2006)}, pages = {159--162}, title = {非ニュートン流体解析のための格子ボルツマン法}, volume = {6}, year = {2006} }