Počet záznamů: 1

Energy of inviscid incompressible fluid flowing past two equal spheres

  1. 1.
    0336621 - UH-J 2010 RIV CZ eng J - Článek v odborném periodiku
    Kharlamov, Alexander - Chára, Zdeněk - Vlasák, Pavel
    Energy of inviscid incompressible fluid flowing past two equal spheres.
    Acta Technica CSAV. Roč. 54, č. 1 (2009), s. 35-47 ISSN 0001-7043
    Grant CEP: GA AV ČR IAA200600603
    Výzkumný záměr: CEZ:AV0Z20600510
    Klíčová slova: inviscid flow * motion spheres * fluid energy * image method * numerical calculation
    Kód oboru RIV: BK - Mechanika tekutin

    The aim of the work is simple formula for the kinetic energy of potential flow of an inviscid incompressible fluid past two rigid impermeable equal spheres moving arbitrarily. The kinetic energy is an essential part of equations of motions of the spheres. The energy represents an expression involving the components of the sphere velocities and the dimensionless coefficients that depend on the dimensionless distance between the spheres. The coefficients were calculated numerically by the method of successive images, which allows calculation of the velocity field as the sum of the velocity fields of sequences of dipoles located along the axis connecting spheres centers. The coefficients in the energy expression as a function of dimensionless distance between spheres were calculated as an infinite series over all the dipoles modeling the flow. The limits and accuracy are estimated from the series. The obtained dependences were fitted with high accuracy by simple continuous functions.
    Trvalý link: http://hdl.handle.net/11104/0180817