A hydrodynamic model of an intercepting vacuum drainage in a descending flow of ground water
type: Item
instance of: scholarly article
title: A hydrodynamic model of an intercepting vacuum drainage in a descending flow of ground water
zbMATH Open document ID: 0654.76082
DOI: 10.1016/0021-8928(87)90050-5
published in: Journal of Applied Mathematics and Mechanics
publication date: 1987-01-01T00:00:00Z
review text: A boundary value problem is formulated describing two-dimensional steady filtration in a layer of soil of infinite capacity, towards a horizontal vacuum drainage which captures partly or wholly, at some specified rate of drainage, the ground water filtering downwards from the soil surface. A solution of the problem is constructed using conformal mapping and the solution contains two unknown mapping parameters. A system of equations is derived for the latter parameters, and their unique solvability is established analytically. At the same time, a restriction on the filtration capacity of the drainage is revealed, corresponding to the critical mode (complete interception of the flow). A computer program is written for the algorithm used to compute, for which given parameters of the medium, the flow characteristics in the critical mode, and at some value of the drainage output chosen arbitrarily from the interval of admissible values. Numerical examples are given.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 74L10
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 4068510
zbMATH Keywords: boundary value problem
zbMATH Keywords: two-dimensional steady filtration
zbMATH Keywords: layer of soil of infinite capacity
zbMATH Keywords: vacuum drainage
zbMATH Keywords: ground water filtering
author: V. N. Ehmikh
MaRDI profile type: Publication
full work available at URL: 0021-8928(87)90050-5
OpenAlex ID: W2023638935
cites work: Q5845357
cites work: On some hydrodynamic models of drainage
cites work: Analysis of two-dimensional steady-state filtration into a soil layer with a strongly permeable foundation
description: scientific article; zbMATH DE number 4068510