AN EXACT SOLUTION TO THE NONLINEAR DIFFUSION CONVECTION EQUATION FOR 2-PHASE FLOW

A new exact solution to the nonlinear diffusion-convection equation ∂θ/∂t = ∂/∂x(D(θ)∂θ/∂x)-V(t) ∂f(θ)/∂x, for two-phase fluid flow in porous media is derived. The solution is sought for Dirichlet boundary conditions and a diffusivity of the form D(θ) = D0/(1-νθ)2. The functional form of the fractio...

ver descrição completa

Detalhes bibliográficos
Principais autores: Sander, G, Norbury, J, Weeks, S
Formato: Journal article
Publicado em: 1993