A boundary-layer problem in fresh-salt groundwater flow

C.J. Duijn, van; L.A. Peletier

doi:10.1093/qjmam/45.1.1

A boundary-layer problem in fresh-salt groundwater flow

C.J. Duijn, van, L.A. Peletier

Research output: Contribution to journal › Article › Academic › peer-review

12 Citations (Scopus)

Abstract

In this paper we investigate the boundary layer which arises between the parallel flow of fresh and salt groundwater as occurs in vertical aquifers. It is caused by small molecular diffusion and transversal dispersion brought about by the porous environment. A self-similar transformation leads to a variant of the Falkner-Skan equation. Existence, uniqueness and various properties of the solution, such as monotonicity and asymptotic behaviour, are established and the influence of the ratio of molecular diffusion to transversal dispersion is analysed. Some numerical results are presented.

Original language	English
Pages (from-to)	1-24
Journal	The Quarterly Journal of Mechanics and Applied Mathematics
Volume	45
Issue number	1
DOIs	https://doi.org/10.1093/qjmam/45.1.1
Publication status	Published - 1992

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10.1093/qjmam/45.1.1

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AB - In this paper we investigate the boundary layer which arises between the parallel flow of fresh and salt groundwater as occurs in vertical aquifers. It is caused by small molecular diffusion and transversal dispersion brought about by the porous environment. A self-similar transformation leads to a variant of the Falkner-Skan equation. Existence, uniqueness and various properties of the solution, such as monotonicity and asymptotic behaviour, are established and the influence of the ratio of molecular diffusion to transversal dispersion is analysed. Some numerical results are presented.

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DO - 10.1093/qjmam/45.1.1

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A boundary-layer problem in fresh-salt groundwater flow

Abstract

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