Počet záznamů: 1
Energy of inviscid incompressible fluid flowing past two equal spheres
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