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Bellamy-Knights, Peter G. (2011)
Publisher: Co-Action Publishing
Journal: Tellus A
Languages: English
Types: Article

Classified by OpenAIRE into

arxiv: Physics::Fluid Dynamics
A given axisymmetric potential swirling flow is bounded by a plane perpendicular to the axis of symmetry. By the no slip condition, viscous effects will be important over the plane and since the circumferential velocity must be zero on the axis of symmetry, viscous effects will also be important in the core of the vortex. These two viscous regions will overlap near the intersection of the axis of symmetry with the plane. Thus the flow field can be divided into four regimes, the viscous core, the boundary layer on the plane, a ‘stagnation point’ regime and the given potential flow which provides the outer boundary conditions for each of the first two regimes. Such a model could be useful for studying meteorological flow systems such as tornadoes. The viscous core regime has already been studied (Rott, 1958, 1959; Bellamy-Knights, 1970, 1971).DOI: 10.1111/j.2153-3490.1974.tb01609.x
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • Bellamy-Knights, P G. 1970. An unsteady two-cell vortex solution of the Navier-Stokes equations. J. Fluid Mech. 41, 673-687.
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    • Hartree, D. R. 1937. On a n equation occurring in Falkner and Skan's approximate treatment of the equations of the boundary layer. Proc. Camb. phil. SOC3.3, 223-239.
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    • Oseen, C. W. 1911. Ark. Mat. Astr. Fys. 7.
    • Rott, N. 1958. On the viscous core of a line vortex. 2. angew. Math. Phys. 96, 543-553.
    • Rott, N. 1959. On the viscous core of a line vortex. 11.2.angew. Math Phys. 10, 73-81.
    • Sullivan, R. D. 1959. A two-cell solution of the Navier-Stokes equations. J . Aerospace Sci. 26,767
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