Shankar, PN and Sinha, UN (1980) *Weakly sheared, two-dimensional inviscid flows past bodies.* Journal de Mecanique, 19 (1). pp. 125-148.

## Abstract

A general theory is presented of inviscid two-dimensional flows past bodies in which the free stream vorticity is assumed to be weak. It is shown that the rotational part of the flow is governed to first order by a Poisson equation in which the inhomogeneous term depends on the stream function governing uniform flow past the body. Now, if the flow due to a harmonic perturbation of the free stream is known, the linearity of the first order problem permits the solution for an arbitrary weakly sheared profile at infinity to be written down as a Fourier integral. The theory is worked out in detail for sheared flow past a circular cylinder. As the examples presented show, the quantities of physical interest may be written down in terms of elementary functions and their integrals.

Item Type: | Journal Article |
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Uncontrolled Keywords: | Circular cylinders;Flow equations;Free flow;Inviscid flow;Shear flow;Two dimensional flow;Fourier analysis;Poisson equation;Uniform flow;Vorticity equations |

Subjects: | ENGINEERING > Fluid Mechanics and Thermodynamics |

Division/Department: | Computational and Theoretical Fluid Dynamics Division, Flosolver Division |

Depositing User: | Ms. Alphones Mary |

Date Deposited: | 28 Jan 2006 |

Last Modified: | 24 May 2010 09:39 |

URI: | http://nal-ir.nal.res.in/id/eprint/937 |

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