Tuesday, 12 October 2004 - 5:35 PM

This presentation is part of : Rajagopal Symposium

Flow of a Fluid Through an Elastic Porous Media-a Non-Darcian Approach

Dicky Rezady Munaf, Department of Civil Engineering, Department of Civil Engineering, Institut Teknologi Bandung, Jalan Ganesha 10, Bandung 40132, 40132, Indonesia

A constitutive equation for flow of a fluid through an elastic solid, in fully saturated condition, within the context of theory of interacting continua has been developed. The problems of flow of fluid through a horizontal aquifer (in the case of non-deformable solid), flow of a fluid along the axis of a porous cylinder and the flow of fluid through a sheared porous slab have been studied in detail. The result based on theory of interacting continua are compared with the predictions of Darcy’s law and experimental results. This work delineates the effect of viscosity, inertia and solid deformation on the flow of a fluid through porous media, and describes the correction to be made to Darcy’s law when these terms become dominant. Darcy’s law is quite appropriate and useful when these effects are unimportant. Further, a method is developed to find physical meaning for material parameters in the constitutive models. Several distinct boundary value problems, both steady and unsteady in nature, are solved and comparison is made with experimental result, when possible. In this way, the results form Theory of Interacting Continua are shown to be in agreement wth the experimental results.

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