Fractal Study on Rabinowitch Fluid Flow in a Capillary

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Fractal models for flow rate, velocity and effective permeability of Rabinowitch fluid in a capillary are proposed based on the fractal properties of tortuous capillary. There is no empirical constant and each parameter in the proposed expressions has clear physical meaning. The effective permeability is expressed as a function of radius of capillary, straight distance of capillary, tortuosity fractal dimension, fluid characteristic parameters and pressure difference, and it relate the properties of Rabinowitch fluid with the structural parameters of fractal capillary. The presented analytical expressions reveal and improve the understanding of the physical principles of Rabinowitch fluid transport through a capillary.

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141-143

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July 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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