The Mathematical Model for Particle Suspension Flow through Porous Medium
- 1 Islamic Azad University, Firoozabad Branch, Iran
- 2 Islamic Azad University, Firoozabad Branch, Iran
- 3 Islamic Azad University, Firoozabad Branch, Iran
Abstract
Transport of suspensions and emulsions in porous media occurs in numerous processes of environmental, chemical, petroleum and civil engineering. In this work, a mass balance particle transport equation which includes filtration has been developed. The steady-state transport equation is presented and the solution to the complete advective-dispersion equation for particulate suspension flow has been derived for the case of a constant filter coefficient. This model in-cludes transport parameters which are particle advective velocity, particle longitudinal dispersion coefficient and filter coefficient. This work recommends to be investigated by particle longitudinal dispersion calculation from experimental data, directly. Besides, the numerical model needs to be developed for general case of a transition filter coefficient.
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