TY - JOUR

T1 - A note on impulsive sphere motion beneath a free-surface

AU - Miloh, T.

PY - 2001/9

Y1 - 2001/9

N2 - A general framework is presented for solving the impulsive oblique motion of a spherical body in close proximity and below a free-surface. The fluid is considered to be impulsive and the flow as incompressible. The irrotational flow field is deduced from a velocity potential. The full nonlinear problem is reduced to a sequence of boundary-value problems by employing a small-time expansion technique. The mixed boundary conditions are of a Dirichlet type on the undisturbed free-surface and of a Neumann type on the equilibrium spherical shape. The solution is obtained by employing a Green's function and the method of multipoles expansions. General expressions, correct to each order in the small-time, are given for the free-surface deflections and the pressure force experienced by the moving sphere.

AB - A general framework is presented for solving the impulsive oblique motion of a spherical body in close proximity and below a free-surface. The fluid is considered to be impulsive and the flow as incompressible. The irrotational flow field is deduced from a velocity potential. The full nonlinear problem is reduced to a sequence of boundary-value problems by employing a small-time expansion technique. The mixed boundary conditions are of a Dirichlet type on the undisturbed free-surface and of a Neumann type on the equilibrium spherical shape. The solution is obtained by employing a Green's function and the method of multipoles expansions. General expressions, correct to each order in the small-time, are given for the free-surface deflections and the pressure force experienced by the moving sphere.

KW - Free-surface

KW - Hydrodynamics

KW - Impulsive flows

KW - Multipole expansions

KW - Small-type expansions

KW - Spherical shapes

UR - http://www.scopus.com/inward/record.url?scp=0035449873&partnerID=8YFLogxK

U2 - 10.1023/A:1011895510151

DO - 10.1023/A:1011895510151

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AN - SCOPUS:0035449873

SN - 0022-0833

VL - 41

SP - 1

EP - 11

JO - Journal of Engineering Mathematics

JF - Journal of Engineering Mathematics

IS - 1

ER -