
Scientific paper ID 1744 : 2019/1
EQUATIONS FOR MOTION ON A TWOPHASE FLOW IN CYLINDRICAL COORDINATES
Ivan Antonov, Svetlin Antonov, Rositsa Velichkova, Ivan Denev In investigation of number of turbulent flows with axial symmetry, it is imperative to use equations for movement, heat transfer and impurities and for continuity in cylindrical coordinates. In presented work is made an analysis of the current equations for motion in cylindrical coordinates by Reynolds type, mentioning a number of developments in Bulgaria. The solution for flow with axial symmetry in cylindrical coordinates is, however, more appropriate using the NaviesStokes equations using the so called ”effective viscosity”.
турбулентен поток двуфазен поток цилиндрични координатиturbulent flow twophase flow cylindrical coordinatesIvan Antonov Svetlin Antonov Rositsa Velichkova Ivan Denev BIBLIOGRAPHY [1] Loitsiansky l.g., distribution [2] Gotler H., Decay of swirling axially symmetrical jet far from the orifice , prevista mathematical hispanoamericans, ser. 4,vol.14,1954,pp143178 [3] Antonov I., Investigation of swirling turbulent flow, S. 1976, PhD Thesis [4] Madjirski V., I.Antonov, Study on the flow of a revolved turbulent jet in an immobile homogeneous medium, Trans. Of Vth conference ISEM, Bombay,1974 [5] Madjirksi V., I. Antonov Investigation of flow of swirling turbulent flow in satellite environment, VMEI. Book XIV,1975 pp 8889 [6] Antonov I., S. Todorov. I.Pisarova, Investigation of distribution of swirling turbulent jet in nonswirling satellite flows, Mashinostroene, book 5, pp214216 [7] Kostov P., K.Atanasov, Numerical modeling of burning of gaseous fuel in a limited swirling stream formed by a tangential vane swirler,, proceedings of the international scientific conference on energy and information systems and technologies (ICEST ) 2001, Bitola, Macedonia, volume 1, pp. 168172. [8] Kostov P., K. Atanasov, Modeling of a burning process in a limited turned injected stream, Proceedings of the international scientific conference on energy and information systems and technologies (ICEST) 2002, Nish, Yugoslavia, session power systems ii. [9]Kostov P., K. Atanasov, N. Krystev, Influence of heat exchange over the conditions of combustion in the initial section of the torch, Proceedings of the international scientific conference on energy and information systems and technologies (ICEST) 2004, bitola, Macedonia, volume 2, pp. 839841. [10]Krytsev N., Numerical simulation of twophase diffusion burning of gaseous fuels under the conditions of a throttle flow, National conference with international participation ”Educational Technologies2017” Journal of the Union of Scientists, ISNN13112864, Kavarna [11] Krystev N., Possibilities to manage burning process at the conditions of cement kiln, XLVI International Scientific Conference of Information, Communication and Energy Systems, ICEST, Nis, Serbia, 2011 [12] Antonov I., N.T. Nam, Numerical methods for modeling of a twophase turbulent swirling jets, Inter. Symp. On Hydroand Aerodynamic in Marine Engineering, HADMAP’91, Varna vol1 pp3445 [13] Nam N., H.Lien, I.Antonov, Swirling twophase turbulent jet in systems of combustions, procceding of the workshop on Mechanical Engineering, HCM, Vietnam, 1998, pp7685 [14] Nigmatulin I., Basic mechanics of heterogeneity among, m., science, 1978. [15] Strumensky V., Methods of systemic cinematic emissions of gas mixtures, doc. an ussr, 273, 3, 1977, pp. 533536. [16] Abramovich G., T.Girschovich, On diffusion of heavy particles in turbulent flows, DANSSSR, t.212.3 1973.. [17] Schreiber A., L. Gavin, V. Naumov, V. Yatsenko, Turbulent flows of a gas suspension, Kiev, naukova dumka, 1987. 