some Aspects Of Flow Through Pomus Medla

Abstract

ABSTRACT A mathematical modelling of flow through porous media, from Darcy to Non- Darcy is presented. The nature of non—linear flow in porous media is analyzed by means of the volumetric averaging approach, and physical explanation for the dispersion term is deduced. The effect of porosity on natural convective flow and heat transfer ina saturated porous medium has been investigated using Galerkrin’s finite element method. A boundary value solution to axisymmetric creeping flow ‘ past and through aporous prolate spheroid is presented. Solutions for the temperature field caused by the flow past aheated spheroid in saturated -porous media are presented inthe case where the spheroid is heldat constant temperature, and- Where the flux at all points on the spheroid is held constant. Some applications of the equations of flow through porous media are given in the groundwater flow and oil recovery. Singular integral equation methods are used to obtain closed form solutions for flow from single straight line fracture. ' An analytical solution is derived for two dimensional steady tunnel in afully saturated, homogeneous, isotropic, and semi- infinite aquifer.