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  • 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.
  • 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. (en)
Title
  • Energy of inviscid incompressible fluid flowing past two equal spheres
  • Energy of inviscid incompressible fluid flowing past two equal spheres (en)
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  • Energy of inviscid incompressible fluid flowing past two equal spheres
  • Energy of inviscid incompressible fluid flowing past two equal spheres (en)
skos:notation
  • RIV/67985874:_____/09:00336621!RIV10-AV0-67985874
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(IAA200600603), Z(AV0Z20600510)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 313244
http://linked.open...ai/riv/idVysledku
  • RIV/67985874:_____/09:00336621
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • inviscid flow; motion spheres; fluid energy; image method; numerical calculation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [57EDD4C8C12D]
http://linked.open...i/riv/nazevZdroje
  • Acta Technica ČSAV
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 54
http://linked.open...iv/tvurceVysledku
  • Chára, Zdeněk
  • Vlasák, Pavel
  • Kharlamov, Alexander
http://linked.open...n/vavai/riv/zamer
issn
  • 0001-7043
number of pages
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