Dutta, PK (1986) *Discretization of rotational regions.* Technical Report. National Aeronautical Laboratory, Bangalore, India.

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## Abstract

The fundamental problem of representing a rectangular region of uniform vorticity by a uniform circular vortex is considered by using priciple of integral invariance of inviscid vortex motion. When the two vortices have the same circulation and centre of vorticity,above representation is found to be optimuin only when the given region is square and the core radius of the discrete vortex lies in a niirrow range. However, conaideration of their velocity field leads to a different choice of core radius lying below the above range. When such discrete vortices are used to discretize an infinite uniform shear layer of constant thickness, matching of the average velocity field and its fluctuations results in two more choices of core radius. All these core radii are so close to one another that a fixed choice can be made in any general problea.a non-uniform shear layer of constant thickness with possible application of discrete vortex metnod to shear layer stability and free shear flow.13; Exarnples of Gaussian shear layer and fully developed boundary layers are then considered to suggest usefullness or the above discretization process.

Item Type: | Proj.Doc/Technical Report (Technical Report) |
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Uncontrolled Keywords: | Separated flows;Shear layers;Discrete vortex;13; Recangular vortex |

Subjects: | ENGINEERING > Fluid Mechanics and Thermodynamics |

Division/Department: | Fluid Dynamics |

Depositing User: | M/S ICAST NAL |

Date Deposited: | 27 Sep 2006 |

Last Modified: | 24 May 2010 09:51 |

URI: | http://nal-ir.nal.res.in/id/eprint/2827 |

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