Modeling of the dynamics of tornado structures in a pipe with turbulators of square, semicircular and triangular profiles
https://doi.org/10.21822/2073-6185-2021-48-3-26-38
Abstract
Objectives. To carry out mathematical simulations of changes in time of tornado compositions in channels with projections of semicircular, triangular, square profiles for average Reynolds criteria based on multiblock computing technology with the solution of finite- volume factorized methods of the Reynolds equation and energy equations.
Method. The calculations were carried out on the basis of theoretical approaches based on the solution of Reynolds equations by finite-volume factorized methods, which were closed using the simulation of Menter stresses, and the energy of a structured grid.
Result. The calculations of time-dependent flow and heat transfer parameters carried out in the article showed that the excess dissipation of turbulence generation for projections of sharp profiles - square profile, triangular profile - and rounded profiles - semicircular profile, segment profile - is provided with radically different hydraulic losses: channels with protrusions of rounded profiles, for example, semicircular, have much lower hydraulic resistance coefficients than channels with protrusions with sharp profiles, for example, triangular or square, rectangular.
Conclusion. In the article, mathematical simulations of time-dependent tornado compositions were performed in channels with transversal profiles in the form of a square, triangle and semicircle, which is as informative as possible in terms of studying turbulent flows and heat transfer arising under average Reynolds criteria based on computer multiblock technology when using solutions of finite-volume factorized methods (FCOM-am) Reynolds equations and energy equations. The following protrusions were considered in the article: square transversal profiles, in which tornadoes are most pronounced, and side tornadoes affect the flow in the maximum way; triangular transversal profiles, where tornadoes are not so strong, and side tornadoes affect the main flow weaker than with square protrusions; semicircular transversal profiles, in which the incoming main tornado moves along the stream with the generation of limited side tornadoes. The calculated information obtained in the article correlates to a high degree with the available experimental data, which indicates the verification of the mathematical modeling involved in the article.
Keywords
About the Author
I. E. LobanovRussian Federation
Igor E. Lobanov, Dr. Sci. (Eng.), Leading Researcher,
PNIL-204 MA
4 Volokolamskoe highway, A-80, GSP-3, Moscow 125993
References
1. Dreitser G. A., Isaev S. A., Lobanov I. E. Calculation of convective heat transfer in a pipe with periodic protrusions // Problems of gas dynamics and heat and mass transfer in power plants: proceedings of the XIV of the School-seminar of young scientists and specialists under the leadership of academician A. I. Leontiev. M.: MPEI, 2003;1: 57–60. (In Russ)
2. Dreitser G. A., Isaev S. A., Lobanov I. E. Calculation of convective heat transfer in a pipe with periodic protrusions. Vestnik MAI. 2004;11 (2): 28–35. (In Russ)
3. Dreitzer G.A., Isaev S.A., Lobanov I.E. Calculation of convective heat transfer in a pipe with periodically located surface flow turbulators. Thermophysics of high temperatures. 2005; 43 (2): 223–230. (In Russ)
4. Lobanov I.E. Mathematical modeling of intensified heat transfer during turbulent flow in channels: Diss. ... doct. technical sciences. – Moscow: MAI, 2005: 632. . (In Russ)
5. Kalinin E.K., Dreitzer G.A., Yarkho S.A. Intensification of heat transfer in channels. – M.: Mashinostroenie, 1972: 220. (In Russ)
6. Effective heat transfer surfaces / E.K.Kalinin, G.A.Dreitzer, I.Z. Kopp et al. M.: Energoatomizdat, 1998; 408. (In Russ)
7. Lobanov I.E., Stein L.M. Promising heat exchangers with intensified heat exchange for metallurgical production. (General theory of intensified heat exchange for heat exchangers used in modern metallurgical production.) In 4 volumes. Volume I. Mathematical modeling of intensified heat transfer during turbulent flow in channels using basic analytical and numerical methods. – M.: Publishing House of the Association of Construction Universities, 2009; 405. (In Russ)
8. Lobanov I.E., Stein L.M. Promising heat exchangers with intensified heat exchange for metallurgical production. (General theory of intensified heat exchange for heat exchangers used in modern metallurgical production.) In 4 volumes. Volume II. Mathematical modeling of intensified heat transfer during turbulent flow in channels using non-basic analytical and numerical methods. M.: Publishing House of the Association of Construction Universities, 2010; 290. (In Russ)
9. Lobanov I.E., Stein L.M. Promising heat exchangers with intensified heat exchange for metallurgical production. (General theory of intensified heat exchange for heat exchangers used in modern metallurgical production.) In 4 volumes. Volume III. Mathematical modeling of intensified heat transfer during turbulent flow in channels using multilayer, super-multilayer and compound models of a turbulent boundary layer. M.: MGAKHiS, 2010; 288. (In Russ)
10. Lobanov I.E., Stein L.M. Promising heat exchangers with intensified heat exchange for metallurgical production. (General theory of intensified heat exchange for heat exchangers used in modern metallurgical production.) In 4 volumes. Volume IV. Special aspects of mathematical modeling of hydro-gas dynamics, heat transfer, and heat transfer in heat exchangers with intensified heat exchange. M.: MGAKHiS, 2011; 343. (In Russ)
11. Lobanov I.E. Theoretical study of the structure of vortex zones between periodic, superficially located turbulators of a rectangular cross-section flow. News of universities. Aviation equipment. 2011; 4: 64–66. (In Russ)
12. Lobanov I.E., Kalinin E.K. Theoretical study, comparison with experiment of current lines and kinetic energy components of turbulent pulsations in vortex structures in pipes with turbulators. Branch aspects of technical sciences. 2011; 12: 4–15. (In Russ)
13. Numerical modeling of vortex intensification of heat transfer in pipe packages / Yu.A.Bystrov, S.A.Isaev, H.A.Kudryavtsev, A.I.Leontiev. – St. Petersburg: Shipbuilding, 2005; 398. (In Russ)
14. Ashrafian A., Andersson H.I. Roughness Effects in Turbulent Channel Flow // Turbulence, Heat Transfer and Mass Transfer 4. New York, Wellington (UK): Begell House Inc., 2003; 425–432.
15. Lobanov I.E. Mathematical modeling of the structure of vortex zones between periodic surface-located turbulators of semicircular and square cross-section flow // Branch aspects of technical sciences. 2012; 9: 11–30.
16. Intensification of heat exchange. Success of heat transfer, 2 / Yu.V.Vilemas, G.I.Voronin, B.V.Dzyubenko, etc.; Edited by A.A. Zhukauskas and E.K. Kalinin. Vilnius: Moskslas, 1988; 188.
17. Lobanov I.E. Mathematical modeling of the dynamics of the development of vortex structures in pipes with turbulators. Moscow Scientific Review. 2013;12: 9–15.
18. Lobanov I.E. Mathematical modeling of the dynamics of the development of vortex structures in pipes with turbulators. Bulletin of PNRPU. Aerospace engineering. 2014;38:16–31(In Russ).
19. Lobanov I.E. Theory of dynamics of vortex structures in pipes with turbulators. Scientific review. 2015; 22: 226–237 (In Russ).
Review
For citations:
Lobanov I.E. Modeling of the dynamics of tornado structures in a pipe with turbulators of square, semicircular and triangular profiles. Herald of Dagestan State Technical University. Technical Sciences. 2021;48(3):26-38. (In Russ.) https://doi.org/10.21822/2073-6185-2021-48-3-26-38