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根据修正Blake—Kozeny方程对Herschel—Bulkley模型的非牛顿流体在微多孔介质中流动的定量描述,通过增加外力项建立了非牛顿流体在宏观多孔介质中的格子Boltzmann模型,并将该模型应用到平板多孔介质中非牛顿流体的电渗驱动流模拟。对多孔介质渗透性参数和非牛顿流体流变性参数的影响进行模拟和分析,获得了各种参数对多孔介质中非牛顿流体流动速度的影响规律。“,”Based on modified Blake-Kozeny equation, the lattice Boltzmann method is developed to simulate the flow of non-Newtonian fluids described by the Herschel-Bulkley model in micro-porous media. The flow through porous media was simulated by adding a non-Newtonian force term to the evolution equation. The method was applied to simulate the electroosmotic flow in micro-porous media instead of conventional pressure, driven. The influences of porosity and rheology parameters on the non-Newtonian fluid are investigated and the porous velocity is obtained under various conditions.