Spreading of a paraboloid elevation of liquid over a horizontal base

Autor: G. M. Chernomashentsev
Rok vydání: 1984
Předmět:
Zdroj: Fluid Dynamics. 18:824-826
ISSN: 1573-8507
0015-4628
DOI: 10.1007/bf01091013
Popis: The literature contains studies [1–4] of the problem of the spreading of an axisymmetric elevation of ground water with conservation of the initial mass of the liquid and under the condition that some of the liquid remains in the previously occupied volume. The investigations used the Boussinesq equation with constant and discontinuous (at the point where ∂h/∂t = O, where h is the height of the elevation) permeability of the medium. For the first problem, there is an exact analytic solution of the type of an instantaneous source; the solution to the second problem was sought in the form of a self-similar solution of the second kind as an asymptotic solution for the corresponding Cauchy problem. In the present paper, the solution to the problem of the spreading of an axisymmetric elevation over a horizontal base is generalized to the case of an elevation having the shape of an elliptic paraboloid.
Databáze: OpenAIRE
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