An analytical solution for critical withdrawal of layered fluid through a line sink in a porous medium
Zhang, H., Hocking, G.C. and Barry, D.A. (1997) An analytical solution for critical withdrawal of layered fluid through a line sink in a porous medium. Journal of the Australian Mathematical Society Series B-Applied Mathematics, 39 (2). pp. 271-279.
Fluid withdrawn through a line sink from a layered fluid in a vertically confined porous medium is considered. A hodograph method is used to obtain the shape of the interface for a given sink position at the critical flow rate. The analytical solution is compared with a more general numerical solution developed in earlier work. It was found that the surface profiles obtained by the two methods are in close agreement. However, the present work has the advantage that it gives a fully explicit solution.
|Publication Type:||Journal Article|
|Murdoch Affiliation:||School of Chemical and Mathematical Science|
|Publisher:||Jerusalem Academic Press|
|Copyright:||© Australian Mathematical Society, 1997.|
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