Affiliation:
1. School of Physics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China
2. College of Science, Three Gorges University, Yichang 443002, P. R. China
Abstract
In this work, the effective average height of the roughness elements, the relative increase of the pressure gradients, the relative decrease of the permeability are derived based on the fractal geometry theory and technique for laminar flow through tree-like branching networks with roughened channels. The relationships among the effective average height, the structural parameters and pressure drops as well as permeability are studied. It is found that the total pressure drop across a tree-like branching network with roughened channels is increased by a factor of [Formula: see text], and the permeability for the network with roughened channels is decreased by a factor of [Formula: see text], where [Formula: see text] is the relative roughness of surfaces of channels, compared to those with smooth channels.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Geometry and Topology,Modelling and Simulation
Cited by
94 articles.
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