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Digitale Medien

Flow pattern analysis for a well defined by point sinks (1995)

Nieuwenhuizen, Roland ; Zijl, Wouter ; Veldhuizen, Marinus

Springer

Transport in porous media 21 (1995), S. 209-223

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ISSN: 1573-1634

Schlagwort(e): well ; Darcy's law ; perfect layering ; point sinks ; Hankel transform ; fast Fourier transform

Quelle: Springer Online Journal Archives 1860-2000

Thema: Geologie und Paläontologie , Technik allgemein

Notizen: Abstract This paper deals with the analytical description of single-phase flow caused by abstraction wells and governed by Darcy's law. Since we are mainly interested in the velocity field upon which an analysis of transport phenomena can be based, we may assume that the flow is quasi steady. A well may be composed of a number of point sinks, therefore the main problem is to determine the flow field caused by one point sink. For a perfectly layered subsurface the solution can be found by an approximation of the Hankel Transform using a Fast Fourier Transform. The final result is an algorithm that can be used to determine velocities and flow paths on any spatial scale, as will be shown by some examples.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF00617406

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Digitale Medien

Generalized potential flow theory and direct calculation of velocities applied to the numerical solution of the Navier-Stokes and the Boussinesq equations (1988)

Zijl, Wouter

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 8 (1988), S. 599-612

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ISSN: 0271-2091

Schlagwort(e): Navier-Stokes ; Boussinesq ; Bernoulli ; Vorticity ; Potentials ; Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Maschinenbau

Notizen: A formulation based on three scalar functions or potentials is applied to analyse the Navier-Stokes and Boussinesq equations in three dimensions. In this formulation an explicit expression for the pressure exists, the so-called generalized Bernoulli equation. Therefore the scalar functions formulation may be considered as a generalization of the well-known potential flow and Bernoulli theory for irrotational fluid motion. The many advantages of this formulation applied to three-dimensional Navier-Stokes and Boussinesq flow will be discussed, and a numerical example is given as an illustration.

Zusätzliches Material: 2 Ill.