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...

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Bibliographic Details
Main Authors: Sander, G, Norbury, J, Weeks, S
Format: Journal article
Published: 1993