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Title: Impact of a falling jet
Authors: Dias, Frederic 
Christodoulides, Paul 
Major Field of Science: Engineering and Technology
Field Category: Electrical Engineering - Electronic Engineering - Information Engineering
Keywords: Froude number;Korteweg-de Vries equation;Flow past
Issue Date: Aug-2010
Source: Journal of Fluid Mechanics, 2010, vol. 657, pp. 22-35.
Volume: 657
Start page: 22
End page: 35
Journal: Journal of Fluid Mechanics 
Abstract: Given the complexity of the problem of the impact of a mass of liquid on a solid structure, various simplified models have been introduced in order to obtain some insight on particular aspects of the problem. Here the steady flow of a jet falling from a vertical pipe, hitting a horizontal plate and flowing sideways is considered. Depending on the elevation H of the pipe relative to the horizontal plate and the Froude number F, the flow can either leave the pipe tangentially or detach from the edge of the pipe. When the flow leaves tangentially, it can either be diverted immediately by the plate or experience squeezing before being diverted. First, the problem is reformulated using conformal mappings. The resulting problem is then solved by a collocation Galerkin method; a particular form is assumed for the solution, and certain coefficients in that representation are then found numerically by satisfying Bernoulli's equation on the free surfaces at certain discrete points. The resulting equations are solved by Newton's method, yielding various configurations of the solution based on the values of F and H. The pressure exerted on the plate is computed and discussed. For a fixed value of F, the maximum pressure along the plate goes through a minimum as H increases from small to large values. Results are presented for the three possible configurations: (i) tangential departure from the pipe and no squeezing, (ii) tangential departure from the pipe followed by squeezing of the liquid and (iii) detachment of the liquid from the pipe (with subsequent squeezing).
ISSN: 1469-7645
DOI: 10.1017/S0022112010001291
Rights: © Cambridge
Type: Article
Affiliation : Cyprus University of Technology 
University College Dublin 
University Paris-Sud 
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