Fractal Analysis of Effective Permeability for Meter Fluid

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Abstract:

The Meter fluid is the representative fluid which may be reduced to the Reiner-Philippoff, Ellis and Newtonian fluids in appropriate conditions. Fractal models for flow rate, velocity and effective permeability for Meter fluid in a capillary are proposed based on the fractal properties of tortuous capillary. There are no empirical constant and all parameters in the proposed expressions have clear physical meaning. The proposed models are expressed as functions of relate the properties of Meter fluid to the structural parameters of fractal capillary. It is shown that the effective permeability increases with the increase of pressure gradient and decreases with the increase of tortuosity fractal dimension. The analytical expressions help to reveal the physical principles for Meter and other non-Newtonian fluid flow.

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181-183

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July 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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