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  • 1995-1999  (3)
  • 1
    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.
    Type of Medium: Electronic Resource
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  • 2
    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.
    Type of Medium: Electronic Resource
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  • 3
    Publication Date: 1998-03-01
    Print ISSN: 0378-1127
    Electronic ISSN: 1872-7042
    Topics: Biology , Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Published by Elsevier
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