Derivation of transport equations for three-dimensional non-isothermal turbulent flow in cylindrical coordinates

Abstract

U radu su dati osnovni izrazi u krivolinijskim koordinatama, a zatim su u nastavku rada redom izvedene u cilindričnim koordinatama: jednačina entalpije (temperature), Navije-Stoksove i Rejnoldsove jednačine turbulentnog strujanja, transportne jednačine Rejnoldsovih (turbulentnih) napona, transportna jednačina kinetičke energije turbulencije i na kraju transportna jednačina brzine disipacije kinetičke energije turbulencije. Ovim radom je pokušano popuniti prazninu u našoj i stranoj literaturi u oblasti turbulentnih transportnih procesa u vezi sa izvođenjem turbulentnih transportnih jednačina u cilindričnim koordinatama. Ovaj rad može biti od koristi studentima diplomskih i doktorskih studija, kao i inženjerima i istraživačima u praksi pri rešavanju inženjerskih problema i modeliranju turbulentnih strujanja koja su tako česta u termotehnici i energetici.Paper initially presents the elementary expressions in curvilinear coordinates, and afterwards, the following equations have been derived in cylindrical coordinates, respectively: equation of enthalpy (temperature), Navier-Stokes and Reynolds equation for turbulent flow, transport equations of Reynolds (turbulent) stresses, transport equation of kinetic energy of turbulence, and the transport equation of dissipation rate of turbulent kinetic energy. This paper has been attempted to fill the gap in our and foreign literature with respect to derivation of turbulent transport equations in cylindrical coordinates. This work may be useful to students of graduate and doctoral studies as well as engineers and researchers in practice in solving engineering problems and modeling of turbulent flows, commonly found in thermal engineering and energy

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