Free surface flow into a horizontal slot with zero gravity

McCue, Scott W. (2000) Free surface flow into a horizontal slot with zero gravity. Physics of Fluids, 12(8), pp. 2145-2147.

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The two-dimensional free surface flow of a finite-depth fluid into a horizontal slot is considered. For this study, the effects of viscosity and gravity are ignored. A generalised Schwarz-Christoffel mapping is used to formulate the problem in terms of a linear integral equation, which is solved exactly with the use of a Fourier transform. The resulting free surface profile is given explicitly in closed-form.

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ID Code: 40250
Item Type: Journal Article
Refereed: Yes
Keywords: free surface flow, generalized Schwarz–Christoffel mapping, conformal mapping, smooth attachment, zero gravity
DOI: 10.1063/1.870461
ISSN: 1089-7666
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200) > Theoretical and Applied Mechanics (010207)
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Past > Schools > Mathematical Sciences
Copyright Owner: Copyright 2000 American Institute of Physics
Deposited On: 22 Feb 2011 22:22
Last Modified: 23 Feb 2011 06:15

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