Micropolar Mixture Theory of Multicomponent Porous Media

HUANG Lu; ZHAO Cheng-gang

doi:10.3879/j.issn.1000-0887.2009.05.008

Volume 30 Issue 5

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HUANG Lu, ZHAO Cheng-gang. Micropolar Mixture Theory of Multicomponent Porous Media[J]. Applied Mathematics and Mechanics, 2009, 30(5): 575-586. doi: 10.3879/j.issn.1000-0887.2009.05.008

Citation:

HUANG Lu, ZHAO Cheng-gang. Micropolar Mixture Theory of Multicomponent Porous Media[J]. Applied Mathematics and Mechanics, 2009, 30(5): 575-586. doi: 10.3879/j.issn.1000-0887.2009.05.008

Citation:

HUANG Lu, ZHAO Cheng-gang. Micropolar Mixture Theory of Multicomponent Porous Media[J]. Applied Mathematics and Mechanics, 2009, 30(5): 575-586. doi: 10.3879/j.issn.1000-0887.2009.05.008

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Micropolar Mixture Theory of Multicomponent Porous Media

doi: 10.3879/j.issn.1000-0887.2009.05.008

School of Civil Engineering and Architecture, Beijing Jiaotong University, Beijing 100044, P. R. China

Received Date: 2008-09-11
Rev Recd Date: 2009-04-07
Publish Date: 2009-05-15

Abstract

Abstract

A mixture theory is developed for multicomponent micropolar porous media by combination of the hybrid mixture theory and micropolar continuum theory. This system was modeled as multicomponent micropolar elastic solids saturated with multicomponent micropolar viscous fluids. Balance equations were given through the mixture theory. Constitutive equations were developed based on the second law of thermodynamic and constitutive assumptions. For taking account of compressibility of solid phase, volume fraction of fluid as an independent state variable was introduced in free energy function, and the dynamic compatibility condition was obtained to restrict the change of pressure difference on solid and fluid interface. The constructed constitutive equations were used to close the field equations. The linear field equations were obtained with the linearization procedure, and the micropolar thermo-hydro-mechanical component transport model was established finally. This model can be applied to some practical problems, such as contaminant, drug and pesticide transport. When the proposed model is supposed to be the porous media, including both fluid and solid are single-component, it will almost agree with Eringen's model.
- hybrid mixture theory,
- micropolar,
- multicomponent,
- deforming porous media

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References(30)

References

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