Nonlinear flow in porous media.

Title: Nonlinear flow in porous media.
Identifier: AAI9820575
identifier: 9820575
Creator: Rojas, Sergio Jesus.
Contributor: Adviser: Joel Koplik
Date: 1998
Language: English
Publisher: City University of New York.
Subject: Physics, Fluid and Plasma | Engineering, Chemical | Geology
Abstract: Numerical solutions of the Navier-Stokes equations in two-dimensional quasi-periodic and quasi-isotropic random media were obtained to analyze the local and large scale aspects of finite Reynolds number flow. For Reynolds number less than one, the results show a first correction to Darcy's law which is cubic in the Darcy (averaged) velocity, while for Reynolds number greater than one, the results are in agreement with Forchheimer equation. That is, the correction to Darcy's law is quadratic in the average (Darcy) velocity. The cubic correction to Darcy's law support Mei and Auriault's (1991) theoretical study, based on homogenization theory. In addition, the results show support to a unifying empirical equation describing fluid flow in porous media of similar structure, first proposed by Beavers and Sparrow (1969). Also, the results show agreement, except by a multiplicative constant, with Sangani and Acrivos (1982) equation for the drag on dilute array of cylinders.
Type: dissertation
Source: PQT Legacy CUNY.xlsx
degree: Ph.D.