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Τίτλος: Impact of a rising stream on a horizontal plate of finite extent
Συγγραφείς: Dias, Frederic 
Christodoulides, Paul 
Major Field of Science: Engineering and Technology
Field Category: Electrical Engineering - Electronic Engineering - Information Engineering
Λέξεις-κλειδιά: Asymmetric flows;Bernoulli's equations;Critical value;Discrete points;Free surfaces;Horizontal plates;Newton's methods;Stagnation points;Various configuration
Ημερομηνία Έκδοσης: 25-Φεβ-2009
Πηγή: Journal of Fluid Mechanics, 2009, vol. 621, pp. 243-258
Volume: 621
Start page: 243
End page: 258
Περιοδικό: Journal of Fluid Mechanics 
Περίληψη: The steady flow of a stream emerging from a nozzle, hitting a horizontal plate and falling under gravity is considered. Depending on the length of the plate L and the Froude number F, the plate can either divert the stream or lead to its detachment. 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 L. The lift exerted on the plate is computed and discussed. If the plate is long enough, physically meaningful solutions are found to exist only for values of F greater than or equal to a certain critical value F0, which is to be determined. Results are presented, both for F > F0 where the detachment is horizontal and for F = F0 where the detachment point is a stagnation point at a 120° corner. Related asymmetric flows where the rising stream is inclined are also studied.
URI: https://hdl.handle.net/20.500.14279/4112
ISSN: 14697645
DOI: 10.1017/S0022112008004746
Rights: © Cambridge University Press
Type: Article
Affiliation: Cyprus University of Technology 
University College Dublin 
Publication Type: Peer Reviewed
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