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  • 1
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 4 (1992), S. 649-651 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Four examples of air-entraining flows at the free surface of a liquid are briefly considered: (a) the transient impact of a jet, (b) the application of an excess pressure, (c) two counter-rotating vortices below the surface, and (d) a disturbance on a vortex sheet.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 12 (2000), S. 1710-1714 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: It was shown in recent work that the crests of surface disturbances on a falling jet are a powerful agent for air entrainment at the free surface of a liquid pool. The paper explores the opposite case in which the jet is disturbed so as to form an axisymmetric trough, rather than a crest. It is found that no air is entrained in this case. The paper concludes with some considerations on the validity of a recently proposed model for air entrainment. © 2000 American Institute of Physics.
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  • 3
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 10 (1998), S. 361-367 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: In this paper we study several problems involving two dimensional and axisymmetric jets issuing in a medium with negligible dynamical effects: (1) a two-dimensional jet entirely bounded by free surfaces, (2) a two-dimensional jet bounded by a free surface and a wall, (3) an axisymmetric jet and (4) a hollow annular jet in a tube. The theoretical study is based on a new technique in which, on the basis of a boundary layer approximation, the velocity components are expanded into a suitable set of eigenfunctions. The deformation of the jet, that is assumed to be a slow function of the distance from the jet exit, is handled by a scaled coordinate system. For the case of the axisymmetric jet, which is the only one previously considered in the literature, this technique is found to be in excellent agreement with previously published, much more computationally demanding results. An experiment involving a vertical water jet has been carried out to further verify the accuracy of the current technique. In particular the behavior very near the exit was found to be in excellent agreement with the experiment at high Reynolds numbers. The fact that the jet relaxation time is much shorter than the time obtained from dimensional arguments is explained with the aid of the semi-analytical structure of the method. In the case of the annular wall jets, the length of the inner gaseous region is found to be finite depending on the Froude number. © 1998 American Institute of Physics.
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  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 37 (1996), S. 3753-3759 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The Seiberg–Witten equations, when dimensionally reduced to R2, naturally yield the Liouville equation, whose solutions are parametrized by an arbitrary analytic function g(z). The magnetic flux Φ is the integral of a singular Kaehler form involving g(z); for an appropriate choice of g(z), N coaxial or separated vortex configurations with Φ=2πN/e are obtained when the integral is regularized. The regularized connection in the R1 case coincides with the kink solution of cursive-phi4 theory. © 1996 American Institute of Physics.
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  • 5
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 13 (2001), S. 1167-1177 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The action of pressure-radiation (or Bjerknes) forces on gas bubbles is well understood. This paper studies the analogous phenomenon for vapor bubbles, about which much less is known. A possible practical application is the removal of boiling bubbles from the neighborhood of a heated surface in the case of a downward facing surface or in the absence of gravity. For this reason, the case of a bubble near a plane rigid surface is considered in detail. It is shown that, when the acoustic wave fronts are parallel to the surface, the bubble remains trapped due to secondary Bjerknes force caused by an "image bubble." When the wave fronts are perpendicular to the surface, on the other hand, the bubble can be made to slide laterally. © 2001 American Institute of Physics.
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  • 6
    Publication Date: 2019
    Description: In this work, we investigate the generalized Hyers-Ulam stability of the Apollonius type additive functional equation in modular spaces with or without Δ 2 -conditions. We study the same problem in fuzzy Banach spaces and β -homogeneous Banach spaces. We show the hyperstability of the functional equation associated with the Jordan triple product in fuzzy Banach algebras. The obtained results can be applied to differential and integral equations with kernels of non-power types.
    Electronic ISSN: 2227-7390
    Topics: Mathematics
    Published by MDPI
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