n-Dimensional first integral and similarity solutions for two-phase flow

DOI10.1017/S1446181100008087zbMath1055.35096MaRDI QIDQ4802154

Scott W. Weeks, Graham C. Sander, Jean-Yves Parlange

Publication date: 2003

Published in: The ANZIAM Journal (Search for Journal in Brave)

zbMATH Keywords

similarity solutionsfirst integralsaturation zonenonlinear transport equationwetting front

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Liquid-gas two-phase flows, bubbly flows (76T10)

Related Items (1)

\(N\)-dimensional fractional Fokker-Planck equation and its solutions for anomalous radial two-phase flow in porous media

Cites Work

• A note on some similarity solutions of the diffusion equation
• Similarity solutions of radially symmetric two-phase flow
• On two phase filtration under gravity and with boundary infiltration: application of a bäcklund transformation
• On the remarkable nonlinear diffusion equation (∂/∂x)[a (u+b)−2(∂u/∂x)−(∂u/∂t)=0]
• On the exactly solvable equation$S_t = [ ( \beta S + \gamma )^{ - 2} S_x _x + \alpha ( \beta S + \gamma )^{ - 2} S_x $ Occurring in Two-Phase Flow in Porous Media]
• AN EXACT SOLUTION TO THE NONLINEAR DIFFUSION-CONVECTION EQUATION FOR TWO-PHASE FLOW

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