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International Journal of Fluid Mechanics Research

ISSN for PRINT: 1064-2277

Institutional price:	$1811.00
Issues per year:	6

Best Paper Award Selection - Editorial Board Site

2006, Volume33

119 pages

DOI: 10.1615/InterJFluidMechRes.v33.i1

Issue price - $310.00

Impulsive Free-Surface Flow Due to Rapid Deflection of an Initially Horizontal Bottom. Part I. Formulation and Temporal Expansion

K. B. Haugen
Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, P. O. Box 5003, 1432 As, Norway

P. A. Tyvand
Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, P. O. Box 5003, 1432 As, Norway

ABSTRACT

An analytical third-order small-time expansion is developed for the inviscid, incompressible free-surface flow generated by impulsive deflection of an initially horizontal bottom. The deflection starts with nonzero velocity. The deflection is rapid, which means that its duration is smaller than the gravitational time. The deflection function obeys the constraint of being separable in space and time, but is otherwise arbitrary. Nonlinear effects are taken into account at the bottom as well as at the free surface. Temporal functions are determined to third order. Three special cases are demonstrated.