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  • 1
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 2 (1990), S. 1624-1634 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The initial motion of a pair of strong vortices suddenly created close to a free surface is calculated analytically by means of a Taylor expansion in time. While weak vortices moving toward a free surface repel each other [see Hydrodynamics (Cambridge U.P., Cambridge, 1932)], strong vortices attract each other to the leading order. But, they cannot merge and annihilate each other because of nonlinear free-surface effects. Several features of the solution depend on whether or not the vortices are below a critical depth. At the critical depth the two vortex points span an angle of 120° with respect to the surface center. The dominating gravitational effects are investigated.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 6 (1994), S. 224-238 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The initial motion of a horizontal vortex ring with upwelling flow in its center is studied analytically by a small-time expansion. The toroidal vortex ring is put impulsively into an inviscid fluid near a free surface. The vortex coordinates and surface elevation are calculated up to third order in time, including the leading gravitational effects. The first-order problem is solved exactly, whereas the higher-order problems are covered only in the limits of small and large radius-to-depth ratio. The leading-order effects of the nonlinear interaction with the free surface are analogous to the case of a two-dimensional vortex pair. To the leading order, vortex stretching tends to move the vortex ring inwards and upwards.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 4 (1992), S. 671-676 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The initial development of the free-surface flow due to a submerged two-dimensional source (or sink) is studied analytically. The source is turned on at time zero. The fluid depth is infinite. The nonlinear initial/boundary-value problem is solved to second order in a Taylor expansion in time. A critical sink strength is found, for the formation of a surface dip. Its Froude number is equal to 1/3. The leading gravity wave is considered in the context of classical Cauchy–Poisson problems.
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  • 4
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 28 (1985), S. 1214-1214 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
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  • 5
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 12 (2000), S. 2819-2833 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: An analytical investigation is performed of the initial free-surface flow subject to an impulsive concentrated unit flux through an arbitrary point at an otherwise impermeable boundary. The flow is assumed incompressible, inviscid, irrotational and two-dimensional. It obeys a zero-potential condition at the horizontal free surface. This problem of impulsive Green functions is solved for various bottom topographies, such as sloping beaches, submerged ridges, and finite basins. The basic result in each case is the normal derivative of the velocity potential along the free surface, which represents the initial surface velocity due to the concentrated impulsive flux. The results have relevance to tsunami modeling. © 2000 American Institute of Physics.
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  • 6
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 29 (1986), S. 2027-2028 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A linear shallow water theory of waves in a canal is considered. The energy dissipated by a porous plate located at a step where both the depth and width of the canal changes abruptly is calculated. It is found that a broadening of the canal, combined with a plate with optimal properties, is an efficient way of dissipating wave energy. It is also possible to have a strong wave damping without any reflection.
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  • 7
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 5 (1993), S. 1368-1375 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The early free-surface flow due to an impulsively started point sink in a semi-infinite fluid is analytically studied by employing a power series expansion in time. The full surface elevation to second order is calculated, as well as the third-order elevation at the surface center just above the sink. Gravity enters into the problem only in the third-order surface elevation. A Froude number is defined here with respect to the sink strength and the initial submergence depth. A critical value for the Froude number is analytically determined which is related to dip formation at the free surface. Its value is 15−1/2=0.2582. This critical value is shown to be in good agreement with experimental data and earlier works on dip formation in a container that is drained by a hole in the bottom.
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Zeitschrift für angewandte Mathematik und Physik 35 (1984), S. 122-123 
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Description / Table of Contents: Résumé On peut obtenir des résultats de base sur la convection thermique dans une couche poreuse en rotation à partir de l'analyse connue de la convection thermique dans une couche poreuse anisotrope pas en rotation.
    Notes: Summary It is found in this note that basic results concerning thermal convection in a rotating porous layer may be obtained from known analysis of thermal convection in an (non-rotating) anisotropic porous medium.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Zeitschrift für angewandte Mathematik und Physik 39 (1988), S. 441-446 
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Viscous bubbles in a Hele-Shaw cell are studied by two-dimensional theory. The motion is caused by buoyancy and/or a pressure gradient driving a uniform basic flow in the surrounding fluid. A formula for the velocity of a steady bubble is derived, involving the ratio between the added mass of the bubble and the displaced fluid mass.
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Zeitschrift für angewandte Mathematik und Physik 43 (1992), S. 1055-1071 
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We study the two-dimensional potential flow due to a circular cylinder in motion relative to an unbounded fluid. The cylinder consists of a thin, circular porous shell with fluid inside. The full nonlinear hydrodynamic problem is solved by Fourier expansion of Green's theorem. The truncated series is determined numerically by sampling points around the circle. A dimensionless shell parameter is introduced. For homogeneous porous shells, a maximal drag force occurs at the value 0.433 for the shell parameter, but the virtual mass is a monotonous function of the shell parameter. For an inhomogeneous shell, we have found a maximal value for the virtual mass which is 5% above the value for a rigid cylinder. Some of the results may be relevant to offshore engineering, especially in connection with porous coating of platform legs to reduce the total force.
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