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    Electronic Resource
    Electronic Resource
    On Prandtl-Batchelor theory of a cylindrical eddy: Existence and uniqueness (2000)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 51 (2000), S. 674-686 
    Details
    ISSN: 0044-2275
    Keywords: Key words. Fluid dynamics, vorticity, Euler limit, Batchelor flow, boundary layer.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract. For a steady laminar two-dimensional flow, Prandtl and Batchelor proposed a property in the case of a region of nested closed streamlines. This Prandtl-Batchelor(PB) theory claims the constancy of the vorticity in the limit of infinite Reynolds number R ( or vanishing viscosity $\nu$ ) within such a region. To establish this result rigorously, as a first step we here show that a boundary layer corresponding to the PB theory exists and is unique for the circular eddy under relatively small perturbations of the Euler limit wall velocity.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/PL00001514
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