Theory of Heat Exchange in Pipes With Turbulators With d/D = 0.95 ÷ 0.90 And t/D = 0.25 ÷ 1.00, and Also in Rough Pipes, by Air With Great Reynold’s Numbers Re = 106
Source: By:Lobanov Igor Evgenjevich
DOI: https://doi.org/10.30564/jaeser.v2i4.1168
Abstract:Mathematical modeling of heat exchange in air in pipes with turbulators with d / D = 0.95 ÷ 0.90 and t / D = 0.25 ÷ 1.00, as well as in rough pipes, with large Reynolds numbers (Re = 106). The solution of the heat exchange problem for semicircular cross-section flow turbulizers based on multi-block computing technologies based on the factorized Reynolds equations (closed using the Menter shear stress transfer model) and the energy equation (on multi-scale intersecting structured grids) was considered. This method was previously successfully applied and verified by experiment in [1-4] for lower Reynolds numbers. The article continues the computational studies initiated in [1-4,25-27].
References:[1] Dreitser GA Isaev SA, Lobanov IE. Calculation of convective heat transfer in a tube with periodic projections // Problems of gas dynamics and heat and mass transfer in power plants: Proceedings of the XIV School-Seminar of Young Scientists and Specialists under the leadership of RAS academician A.I.Leonteva, M .: MEI, 2003, 1: 57-60. [2] Dreitser GA Isaev SA, Lobanov IE. Calculation of convective heat transfer in a tube with periodic projections // Journal of MAI, 2004, 11(2): 28-35. [3] Dreitser GA Isaev SA, Lobanov IE. Calculation of convective heat transfer in the tube with the periodically arranged surface turbulence flow // High Temperature, 2005, 43(2): 223-230. [4] Lobanov IE. Mathematical modeling intensified heat exchange in a turbulent flow in the channels: Diss. ... Doctor. tehn. Sciences, MAI, 2005: 632. [5] Kalinin, EK, Dreitser GA, Yarkho SA. Intensification of heat transfer in the channels. Engineering, 1990: 208. [6] Effective heat transfer surface / E.K.Kalinin, G.A.Dreytser, IZ Kopp et al. M .. Energoatomizdat, 1998: 408. [7] Lobanov IE, Stein L. Prospective heat exchangers with intensified heat exchange for metallurgical production. (General Theory intensified heat exchange for heat exchangers applied in modern metallurgical industry.). Mathematical modeling intensified heat exchange in a turbulent flow in the channels with the basic analytical and numerical methods. Publishing Association building universities, 2009, 4(1): 405. [8] IE Lobanov, L. Stein Prospective heat exchangers with intensified heat exchange for metallurgical production. (General Theory intensified heat exchange for heat exchangers applied in modern metallurgical industry.). Mathematical modeling intensified heat exchange in a turbulent flow in the channels with minority analytical and numerical methods. Publishing Association building universities, 2010, 4(2): 290 . [9] IE Lobanov, L. Stein Prospective heat exchangers with intensified heat exchange for metallurgical production. (General Theory intensified heat exchange for heat exchangers applied in modern metallurgical industry.). Mathematical modeling intensified heat exchange in a turbulent flow in the channels using a multilayer and compound models supermnogosloynyh turbulent boundary layer. - M .: MGAKHiS, 2010, 4(3): 288. [10] IE Lobanov, L. Stein Prospective heat exchangers with intensified heat exchange for metallurgical production. (General Theory intensified heat exchange for heat exchangers applied in modern metallurgical industry.). Special aspects of mathematical modeling of fluid dynamics, heat transfer and heat transfer in heat exchangers by heat exchange with intensified. MGAKHiS, 2011, 4(4): 343. [11] Lobanov IE. Theoretical investigation of the structure of vortex zones between periodic superficially located turbulators flow // rectangular cross section of the universities. Aviation equipment, 2011, 4: 64-66. [12] Lobanov IE, Kalinin. EK Theoretical research, comparison with experiment the flow lines and components of the kinetic energy of turbulent fluctuations in the vortex structures in the tubes with turbulence // Sectoral aspects of technical sciences. 2011(12): 4-15. [13] Numerical modeling vortex enhancement of heat transfer tubes in packets / Yu.A.Bystrov, S.A.Isaev, HAKudryavtsev, A.I.Leontev. - St. Petersburg: Shipbuilding, 2005: 398. [14] Ashrafian A., Andersson HI 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 IE. Mathematical modeling of the hydraulic resistance in the tubes with rough walls // Engineering Physics. 2011, 10: 3-11. [16] Lobanov IE. Mathematical modeling heat transfer in the tubes with rough walls // Engineering Physics. 2012, 2: 43-49. [17] Lobanov IE. The theory of flow resistance in straight circular pipes with rough walls // Sectoral aspects of technical sciences. 2012, 4: 4-13. [18] Lobanov IE. Mathematical modeling of flow resistance in the pipes with rough walls with occasional roughness on the basis of the principle of superposition full viscosity //11th International Conference “Aviation and Cosmonautics - 2012”. 13-15 November 2012. Moscow. Abstracts. - SPb .: Printing Workshop, 2012: 386-387. [19] Lobanov IE. The theory of heat transfer in straight circular pipes with rough walls // Sectoral aspects of technical sciences. 2012, 12: 16-23. [20] Lobanov IE. Mathematical modeling of the structure of vortex zones between periodic surface arranged turbulence flow of semi-circular and square cross-sectional dimensions // Industry Technical Sciences. 2012, 9: 11-30. [21] Lobanov IE. Modeling intensified heat exchange in the tubes of relatively high turbulence // Engineering Bulletin. 2011, 3: 25-33. [22] Nesterenko AV. Fundamentals of thermodynamic calculations of air conditioning and ventilation. - M .: Higher School, 1971: 460. [23] Teplov AV. Fundamentals of hydraulics. - Leningrad-M .: Energia, 1965: 185. [24] Lobanov IE. Mathematical modeling of flow resistance in the pipes with rough walls on the basis of the principle of superposition full viscosity // 10-th International Conference “Aviation and Cosmonautics - 2011”. 8-10 November 2011. Moscow. Abstracts. - SPb .: Printing Workshop, 2011: 60-61. [25] Lobanov IE. Mathematical modeling of heat transfer in tubes with vortex generators, as well as in sheroxovatyh pipes in air at high Reynolds numbers // Sectoral aspects of technical sciences. 2013, 9: 8-18. [26] Lobanov IE. Theoretical mathematical modeling of flow and heat transfer in straight circular pipes with turbulence semi-circular cross-section, as well as in rough tubes, in air at greater numbers Peynoldsa // Web portal network of professional education community “Ped-library.ru”. 2019.Access: https://ped-library.ru/1548529792. [27] Lobanov IE. Low- Mathematical modeling of heat transfer in tubes with turbulence in the air at high Reynolds numbers // Innovative approaches in industries and fields. 2019, Tom, 4. Bypusk number 2 (February, 2019). Access mode: http://inf16.ru/vypusk-2-fevral-2019 .