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Modelling of non-Newtonian flow through isotropic porous media

机译:通过各向同性多孔介质的非牛顿流建模

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摘要

A unified modelling theory for the prediction of the pressure drop of non-Newtonian flow through isotropic porous media is proposed. The model is derived by volumetrically averaging the equations of motion over an arbitrary tow-phase system of stationary solids and a traversing fluid. Closure for particular media is obtained by using a formerly introduced rectangular representation of The pore space morphology. In the very low Reynolds number regime fully developed laminar flow Is assumed and the shear rate dependency of the viscosity of purely viscous fluids is incorporated Through the wall shear stress by means of generalized Newtonian viscosity models
机译:提出了一种用于非牛顿流通过各向同性多孔介质的压降预测的统一建模理论。该模型是通过对固定固体和横向流体的任意双相系统上的运动方程进行体积平均得出的。通过使用以前引入的孔空间形态的矩形表示,可以关闭特定介质。在非常低的雷诺数条件下,假定充分发展了层流,并通过广义牛顿粘度模型通过壁切应力,纳入了纯粘性流体粘度的剪切速率依赖性。

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