Abstract
Based on the principle of physical quantity synergy in the field of laminar heat transfer, and according to the models of zero equation and k-ɛ two equations for the turbulent flow, the synergy equations for both energy and momentum conservation in the turbulent heat transfer are established. The synergy regulation among heat flux, mass flow and fluid driving force, and the mechanism of heat transfer enhancement it reflects are revealed. The synergy principle of physical quantity in the thermal flow field is extended from laminar flow to turbulent flow. The principle is verified to be universal by the calculation of heat transfer enhancement in a tube with an insert of helical twisted tape. Thus, corresponding to the synergy relation among physical quantities in the turbulent flow field, the performance of convective heat transfer and flow resistance for the tubes with different heat transfer components and surface can be compared through theoretical and computational analysis, which thereby provides a guidance for designing heat transfer units and heat exchangers.
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References
Webb R L. Principles of Enhanced Heat Transfer. New York: Wiley, 1994
Bergles A E. ExHFT for fourth generation heat transfer technology. Exp Therm Fluid Sci, 2002, 26: 335–344
Guo Z Y, Li D Y, Wang B X. A novel concept for convective heat transfer enhancement. Int J Heat Mass Transfer, 1998, 41: 2221–2225
Zhao T S, Song Y J. Forced convection in a porous medium heated by permeable wall perpendicular to flow direction: Analyses and measurements. Int J Heat Mass Transfer, 2001, 44: 1031–1037
Tao W Q, Guo Z Y, Wang B X. Field synergy principle for enhancing convective heat transfer—its extension and numerical verification. Int J Heat Mass Transfer, 2002, 45: 3849–3856
Tao W Q, He Y L, Wang Q W, et al. A unified analysis on enhancing single phase convective heat transfer with field synergy principle. Int J Heat Mass Transfer, 2002, 45: 4871–4879
Shen S, Liu W, Tao W Q. Analysis of field synergy on natural convective heat transfer in porous media. Int Comm Heat Mass Transfer, 2003, 30: 1081–1090
Tao W Q, He Y L, Qu Z G, et al. Application of the field synergy principle in developing new type heat transfer enhanced surfaces. J Enhanc Heat Transfer, 2004, 11: 433–449
Qu Z G, Tao W Q, He Y L. Three-dimensional numerical simulation on laminar heat transfer and fluid flow characteristics of strip fin surface with X-arrangement of strips. J Heat Transfer, 2004, 126: 697–707
Cheng Y P, Qu Z G, Tao W Q, et al. Numerical design of efficient slotted fin surface based on the field synergy principle. Numer Heat Transfer A, 2004, 45: 517–538
Chen W L, Guo Z Y, Chen C K. A numerical study on the flow over a novel tube for heat transfer enhancement with linear eddy-viscosity model. Int J Heat Mass Transfer, 2004, 47: 3431–3439
He Y L, Tao W Q, Song F Q, et al. Three-dimensional numerical study of heat transfer characteristics of plain plate fin-and-tube heat exchangers from view point of field synergy principle. Int J Heat Fluid Flow, 2005, 6: 459–473
Guo Z Y, Tao W Q, Shah R K. The field synergy (coordination) principle and its applications in enhancing single phase convective heat transfer. Int J Heat Mass Transfer, 2005, 48: 1797–1807
Chen C K, Yen T Z, Yang Y T. Lattice Boltzmann method simulation of backward-facing step on convective heat transfer with field synergy principle. Int J Heat Mass Transfer, 2006, 49: 1195–1204
Ma L D, Li Z Y, Tao W Q. Experimental verification of the flied synergy principle. Int Comm Heat Mass Transfer, 2007, 34: 269–276
Wu J M, Tao W Q. Investigation on laminar convection heat transfer in fin-and-tube heat exchanger in aligned arrangement with longitudinal vortex generator from the viewpoint of field synergy principle. Appl Therm Eng, 2007, 27: 2609–2617
Cai R X, Gou C H. Discussion of the convective heat transfer and field synergy principle. Int J Heat Mass Transfer, 2007, 50: 5168–5176
Cheng Y P, Lee T S, Low H T. Numerical simulation of conjugate heat transfer in electronic cooling and analysis based on field synergy principle. Appl Therm Eng, 2008, 28: 1826–1833
Chen Q, Ren J X, Guo Z Y. Fluid flow field synergy principle and its application to drag reduction. Chinese Sci Bull, 2008, 53: 1768–1772
Chen Q, Ren J X, Meng J A. Field synergy equation for turbulent heat transfer and its application. Int J Heat Mass Transfer, 2007, 50: 5334–5339
Zeng M, Tao W Q. Numerical verification of the field synergy principle for turbulent flow. J Enhanc Heat Transfer, 2004, 11: 451–457
Meng J A, Liang X G, Li Z X. Field synergy optimization and enhanced heat transfer by multi-longitudinal vortexes flow in tube. Int J Heat Mass Transfer, 2005, 48: 3331–3337
Liu W, Liu Z C, Guo Z Y. Physical quantity synergy in laminar flow field of convective heat transfer and analysis of heat transfer enhancement. Chinese Sci Bull, 2009, 54: 3579–3586
Liu W, Liu Z C, Ming T Z, et al. Physical quantity synergy in laminar flow field and its application in heat transfer enhancement. Int J Heat Mass Transfer, 2009, 52: 4669–4672
Jones W P, Launder B E. The prediction of laminarization with a two-equation model of turbulence. Int J Heat Mass Transfer, 1972, 15: 301–311
Jones W P, Launder B E. The calculation of low-Reynolds-number phenomena with a two-equation model of turbulence. Int J Heat Mass Transfer, 1973, 16: 1119–1130
Oertel H. Prandtl’s Essentials of Fluid Mechanics. New York: Springer, 2004
Patankar S V. Numerical Heat Transfer and Fluid Flow. New York: McGraw-Hill, 1980
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Liu, W., Liu, Z. & Huang, S. Physical quantity synergy in the field of turbulent heat transfer and its analysis for heat transfer enhancement. Chin. Sci. Bull. 55, 2589–2597 (2010). https://doi.org/10.1007/s11434-010-3009-7
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DOI: https://doi.org/10.1007/s11434-010-3009-7