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1

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Air-blown waves on thin viscous sheets (1993)

King, A. C. ; Tuck, E. O. ; Vanden-Broeck, J.-M.

New York, NY : American Institute of Physics (AIP)

Physics of Fluids 5 (1993), S. 973-978

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ISSN: 1089-7666

Quelle: AIP Digital Archive

Thema: Physik

Notizen: A model based upon lubrication and thin airfoil theories permits steady periodic waves on the surface of a thin inclined layer of viscous fluid, when an upward stream of air flows over its surface. The flow in the layer is rotational, and is sustained by a balance between the lubrication force in the fluid and a surface shear and pressure gradient supplied by the airflow over it. An analytic small-amplitude expansion, and a numerical large-amplitude solution, are used to describe some of the features of these waves. There is a long-wave limit of a solitary waveform.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.858641

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2

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Two-layer flows past a semicircular obstruction (1993)

Sha, Huyun ; Vanden-Broeck, J.-M.

New York, NY : American Institute of Physics (AIP)

Physics of Fluids 5 (1993), S. 2661-2668

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ISSN: 1089-7666

Quelle: AIP Digital Archive

Thema: Physik

Notizen: The flow past a semicircular cylinder at the bottom of a channel is considered. The channel is of finite vertical extent and of infinite horizontal extent. The fluid consists of two layers of constant densities. Both viscosity and surface tension are neglected. It is assumed that the flow is symmetric with respect to a vertical line through the center of the circular cross section and uniform in each layer at infinity. An integrodifferential equation for the unknown shape of the interface is derived, discretized, and solved numerically using Newton's method. It is shown that there are flows that are perturbations of uniform streams and others that are perturbations of solitary waves. Progression along the various branches of solutions produce two different types of limiting configurations. One is characterized by an infinite broadening in the horizontal direction and the other by overhanging interfacial profiles.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.858729

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3

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Nonlinear free-surface flows past a submerged inclined flat plate (1991)

Vanden-Broeck, J.-M. ; Dias, Frédéric

New York, NY : American Institute of Physics (AIP)

Physics of Fluids 3 (1991), S. 2995-3000

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ISSN: 1089-7666

Quelle: AIP Digital Archive

Thema: Physik

Notizen: Steady two-dimensional free-surface flows past an inclined flat plate submerged in a channel of finite depth are calculated numerically. The flow is assumed to be supercritical. The numerical scheme is based on finite differences. It is shown that there are families of solutions for which there is no force exerted on the plate. In addition, solutions for a horizontal semi-infinite plate are calculated by series truncation.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.857842

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4

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The limiting configuration of interfacial gravity waves (1986)

Turner, R. E. L. ; Vanden-Broeck, J. -M.

[S.l.] : American Institute of Physics (AIP)

Physics of Fluids 29 (1986), S. 372-375

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ISSN: 1089-7666

Quelle: AIP Digital Archive

Thema: Physik

Notizen: Progressive gravity waves at the interface between two unbounded fluids are considered. The flow in each fluid is taken to be potential flow. The problem is converted into a set of integrodifferential equations, reduced to a set of algebraic equations by discretization, and solved by Newton's method together with parameter variation. Meiron and Saffman's [J. Fluid Mech. 129, 213 (1983)] calculations showing the existence of overhanging waves are confirmed. However, the present calculations do not support Saffman and Yuen's [J. Fluid Mech. 123, 459 (1982)] conjecture that the waves are geometrically limited (i.e., that solutions exist until the interface intersects itself). It is proposed that along a solution branch starting with sinusoidal waves of small amplitude, one reaches solutions with vertical streamlines and then overhanging waves. Continuing on this branch, one returns to nonoverhanging waves and then back toward a wave with vertical streamlines. It is suggested that this succession of patterns and accompanying oscillation in wave characteristics is repeated indefinitely. Graphs of the results are included.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.865721

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5

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Solitary waves on water of finite depth with a surface or bottom shear layer (1995)

Sha, Huyun ; Vanden-Broeck, J.-M.

[S.l.] : American Institute of Physics (AIP)

Physics of Fluids 7 (1995), S. 1048-1055

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ISSN: 1089-7666

Quelle: AIP Digital Archive

Thema: Physik

Notizen: Two-dimensional, gravity solitary waves on water of finite depth with a surface layer of uniform vorticity are considered. Accurate numerical solutions are computed by a boundary integral equation method. It is found that the waves have a limiting configuration with a 120° angle at the surface crest and that the shapes of the limiting profiles near the surface crest are different for positive and negative vorticity. The effects of the shear layer strength and thickness on the wave profiles are discussed. In addition, a related configuration when the shear layer is near the bottom is also considered. It is shown that some of the branches of solutions have a limiting configuration with a 120° angle at the surface crest and that others ultimately approach a solitary wave without gravity. This is to be contrasted with the case of a surface shear layer for which all the corresponding branches approach a limiting configuration with a 120° angle at the surface crest. © 1995 American Institute of Physics.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.868617

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6

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Comments on "Weakly nonlocal gravity-capillary solitary waves'' [Phys. Fluids 8, 1506 (1996)] (1997)

Vanden-Broeck, J.-M.

[S.l.] : American Institute of Physics (AIP)

Physics of Fluids 9 (1997), S. 245-246

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ISSN: 1089-7666

Quelle: AIP Digital Archive

Thema: Physik

Notizen: An apparent contradiction between the results of Yang and Akylas [Phys. Fluids 8, 1506 (1996)] and those of Vanden-Broeck [Phys. Fluids 3, 2669 (1991)] is clarified by comparing the cnoidal and solitary waves predicted by the Korteweg–de Vries theory. In particular the rate at which the cnoidal waves approach a solitary wave as the wavelength is increased, is discussed. © 1997 American Institute of Physics.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.869166

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7

Digitale Medien

Rosenhead's point vortex approximation revisited (1993)

Vanden-Broeck, J.-M.

New York, NY : American Institute of Physics (AIP)

Physics of Fluids 5 (1993), S. 2786-2791

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ISSN: 1089-7666

Quelle: AIP Digital Archive

Thema: Physik

Notizen: The time evolution of a vortex sheet is calculated by using a simple generalization of Rosenhead's point vortex approximation. The results confirm that the vortex sheet develops a singularity in curvature at a finite time. Numerical evidence of the rolling up of the vortex sheet is presented.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.858740

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8

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Broadening of interfacial solitary waves (1988)

Turner, R. E. L. ; Vanden-Broeck, J.-M.

[S.l.] : American Institute of Physics (AIP)

Physics of Fluids 31 (1988), S. 2486-2490

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ISSN: 1089-7666

Quelle: AIP Digital Archive

Thema: Physik

Notizen: Progressing interfacial gravity waves are considered for two fluids of differing densities confined in a channel of finite vertical extent and infinite horizontal extent. An integrodifferential equation for the unknown shape of the interface is derived. This equation is discretized and the resulting algebraic equations are solved using Newton's method. It is found that, for a range of heights and densities of the two fluids, the system supports a branch of solitary waves. Progression along the branch produces a broadening of the wave. With increased broadening both the amplitude and the wave speed approach limiting values. The results are in good agreement with analytical studies and indicate the existence of internal surges.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.866602

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9

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Notes on wave attenuation on beaches

Meyer, R.E. ; Strikwerda, J.C. ; Vanden-Broeck, J.-M.

Amsterdam : Elsevier

Wave Motion 17 (1993), S. 11-31

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ISSN: 0165-2125

Quelle: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002

Thema: Geologie und Paläontologie , Physik

Materialart: Digitale Medien

URL: http://linkinghub.elsevier.com/retrieve/pii/0165-2125(93)90086-U

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10

Digitale Medien

Capillary waves with variable surface tension (1996)

Vanden-Broeck, J. -M.

Springer

Zeitschrift für angewandte Mathematik und Physik 47 (1996), S. 799-808

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ISSN: 1420-9039

Schlagwort(e): 76B45 ; 76D33 ; Capillary waves ; surfactants

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik , Physik

Notizen: Abstract The classical problem of capillary waves propagating at a constant velocity at the surface of a fluid of infinite depth is reexamined. The surface tension is assumed to vary along the free surface. The problem is solved numerically by series truncation. It is shown that the properties of the waves are qualitatively similar to those of waves with constant surface tension and that there are nonsymmetric waves with variable surface tension.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF00915276

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