分形毛细管中Reiner-Philippoff非牛顿流体的有效渗透率研究

Effective permeability of Reiner-Philippoff fluid in a fractal capillary

研究分形毛细管中Reiner-Philippoff(RP)非牛顿流体的渗流特性。考虑到弯曲毛细管的分形特性,给出了该流体在其中的流量、流速和有效渗透率的解析模型,此模型将RP流体的流动特性与分形毛细管的结构参数有机联系起来,由该模型可知,有效渗透率随着迂曲度分形维数的增大而减小,这为理解RP等非牛顿流体的流动提供便利。

Fractal models for flow rate, velocity and effective permeability of Reiner-Philippoff （RP） fluid in a fractal capillary are proposed on the basis of the fractal properties of tortuous capillary. The models relate the properties of RP fluid to the structural parameters of fractal capillary. It can be learnt from the models that the effective permeability decreases with the increase of tortuosity fractal dimension, which helps reveal the physical principles of RP and other non-Newtonian fluid flow.