Numerical investigation on flow and heat transfer characteristics of corrugated tubes with non-uniform corrugation in turbulent flow

doi:10.1016/j.cjche.2017.03.038

摘要/Abstract

摘要： Based on finite volume method, the pressure drop and heat transfer characteristics of one smooth tube and ten different axisymmetric corrugated tubes, including two with uniform corrugation and eight with non-uniform corrugation, have been studied. A physical model of the corrugated tube was built, then the numerical simulation of the model was carried out and the numerical simulation results were compared with the empirical formula. The results show that:the friction factor decreases with the increase of Reynolds number ranging from 6000 to 57000, the value of which in the corrugated tubes with non-uniform corrugation (tube 03-10) are smaller than those with uniform corrugation (tube 01-02). The geometry parameters of tube (01) have advantages on the heat transfer enhancement in low Reynolds number flow region (from 6000 to 13000) and tube (07-08) have advantages on the heat transfer enhancement in high Reynolds number flow region (from 13000 to 57000). The vortex, existed in each area between two adjacent corrugations called second flow region, is the root of the enhancement on heat transfer in the corrugated tubes. The effectiveness factor decreases with the increasing of Reynolds number and the performances of the corrugated tubes with pitch of 12.5 mm have advantages than these of 10 mm under the same corrugation geometric parameter.

关键词: Numerical simulation, Corrugated tube, Non-uniformed corrugation, Turbulent flow

Abstract: Based on finite volume method, the pressure drop and heat transfer characteristics of one smooth tube and ten different axisymmetric corrugated tubes, including two with uniform corrugation and eight with non-uniform corrugation, have been studied. A physical model of the corrugated tube was built, then the numerical simulation of the model was carried out and the numerical simulation results were compared with the empirical formula. The results show that:the friction factor decreases with the increase of Reynolds number ranging from 6000 to 57000, the value of which in the corrugated tubes with non-uniform corrugation (tube 03-10) are smaller than those with uniform corrugation (tube 01-02). The geometry parameters of tube (01) have advantages on the heat transfer enhancement in low Reynolds number flow region (from 6000 to 13000) and tube (07-08) have advantages on the heat transfer enhancement in high Reynolds number flow region (from 13000 to 57000). The vortex, existed in each area between two adjacent corrugations called second flow region, is the root of the enhancement on heat transfer in the corrugated tubes. The effectiveness factor decreases with the increasing of Reynolds number and the performances of the corrugated tubes with pitch of 12.5 mm have advantages than these of 10 mm under the same corrugation geometric parameter.

Key words: Numerical simulation, Corrugated tube, Non-uniformed corrugation, Turbulent flow

Dongwei Zhang, Hanzhong Tao, Yuan Xu, Zishuai Sun. Numerical investigation on flow and heat transfer characteristics of corrugated tubes with non-uniform corrugation in turbulent flow[J]. Chinese Journal of Chemical Engineering, 2018, 26(3): 437-444.

参考文献

[1] P.G. Vicente, A. Garcia, A. Viedma, Experimental investigation on heat transfer and frictional characteristics of spirally corrugated tubes in turbulent flow at different Prandtl numbers, Int. J. Heat Mass Transf. 47(4) (2004) 671-681.

[2] P.G. Vicente, A. Garcia, A. Viedma, Experimental study of mixed convection and pressure drop in helically dimpled tubes for laminar and transition flow, Int. J. Heat Mass Transf. 45(26) (2002) 5091-5105.

[3] P.G. Vicente, A. Garcia, A. Viedma, Mixed convection heat transfer and isothermal pressure drop in corrugated tubes for laminar and transition flow, Int. Commun. Heat Mass Transf. 31(5) (2004) 651-662.

[4] J.A. Olivier, Single-phase heat transfer and pressure drop of water cooled at a constant wall temperature inside horizontal circular smooth and enhanced tubes with different inlet configurations in the transitional flow regime, Ph D Thesis, University of Pretoria, Pretoria, 2009.

[5] S. Rainieri, G. Pagliarini, Convective heat transfer to temperature dependent property fluids in the entry region of corrugated tubes, Int. J. Heat Mass Transf. 45(2002) 4525-4536.

[6] M. Piller, Direct numerical simulation of turbulent forced convection, Int. J. Numer. Methods Fluid 49(2005) 583-602.

[7] S. Mahmuda, A.K.M.S. Islamb, M.A. HasanMamuna, Separation characteristics of fluid flow inside two parallel plates with wavy surface, Int. J. Eng. Sci. 40(13) (2002) 1495-1509.

[8] Z. Xu, Z. Zhang, Experimental investigation of the applied performance of several typical enhanced tubes, J. Enhanc. Heat Transf. 17(4) (2010) 331-341.

[9] A.A.R. Darzi, M. Farhadi, K. Sedighi, S. Aallahyari, M.A. Delavar, Turbulent heat transfer of Al₂O₃-water nanofluid inside helically corrugated tubes:Numerical study, Int. Commun. Heat Mass Transf. 41(2013) 68-75.

[10] S. Laohalertdecha, S. Wongwises, The effects of corrugation pitch on the condensation heat transfer coefficient and pressure drop of R-134a inside horizontal corrugated tube, Int. J. Heat Mass Transf. 53(13-14) (2010) 2924-2931.

[11] S. Laohalertdecha, S. Wongwises, Condensation heat transfer and flow characteristics of R-134a flowing through corrugated tubes, Int. J. Heat Mass Transf. 54(11-12) (2011) 2673-2682.

[12] A. Zachar, Analysis of coiled-tube heat exchangers to improve heat transfer rate with spirally corrugated wall, Int. J. Heat Mass Transf. 53(19-20) (2010) 3928-3939.

[13] S. Rainieri, F. Bozzoli, L. Cattani, G. Pagliarini, Compound convective heat transfer enhancement in helically coiled wall corrugated tubes, Int. J. Heat Mass Transf. 59(2013) 353-362.

[14] L. Liu, X. Ling, H. Peng, Analysis on flow and heat transfer characteristics of EGR helical baffled cooler with spiral corrugated tubes, Exp. Thermal Fluid Sci. 44(2013) 275-284.

[15] H.Z. Han, B.X. Li, B.Y. Yu, Y.R. He, F.C. Li, Numerical study of flow and heat transfer characteristics in outward convex corrugated tubes, Int. J. Heat Mass Transf. 55(2012) 7782-7802.

[16] H.Z. Han, B.X. Li, F.C. Li, Y.R. He, RST model for turbulent flow and heat transfer mechanism in an outward convex corrugated tube, Comput. Fluids 91(2014) 107-129.

[17] H.A. Mohammed, A.K. Abbas, J.M. Sheriff, Influence of geometrical parameters and forced convective heat transfer in transversely corrugated circular tubes, Int. Commun. Heat Mass Transf. 44(2013) 116-126.

[18] S. Mac Nelly, W. Nieratschker, M. Nadler, D. Raab, A. Delgado, Experimental and numerical investigation of the pressure drop and heat transfer coefficient in corrugated tubes, Chem. Eng. Technol. 38(12) (2015) 2279-2290.

[19] S. Mac Nelly, W. Nadler, M. Nieratschker, K. Künster, A. Delgado, Experimentelle und numerische Untersuchung von wandnahen Strömungen in profilierten Rohren, in:J. Czarske (Ed.), Proceedings der 23, Fachtagung Lasermethoden in der Strömungsmesstechnik, GALA, Karlsruhe, 2015.

[20] A. HarleB, E. Franz, M. Breuer, Heat transfer and friction characteristics of fully developed gas flow in cross-corrugated tubes, Int. J. Heat Mass Transf. 107(2017) 1076-1084.

[21] A. HarleB, E. Franz, M. Breuer, Experimental investigation of heat transfer and friction characteristic of fully developed gas flow in single-start and three-start corrugated tubes, Int. J. Heat Mass Transf. 103(2016) 538-547.

[22] A. Garcia, J.P. Solano, P.G. Vicente, A. Viedma, The influence of artificial roughness shape on heat transfer enhancement:Corrugated tubes, dimpled tubes and wire coils, Appl. Therm. Eng. 35(2012) 196-201.

[23] W.L. Chen, Z. Guo, C.K. Chen, A numerical study on the flow over a novel tube for heat-transfer enhancement with a linear Eddy-viscosity model, Int. J. Heat Mass Transf. 47(14-16) (2004) 3431-3439.

[24] B. Li, B. Feng, Y.L. He, W.Q. Tao, Experimental study on friction factor and numerical simulation on flow and heat transfer in an alternating elliptical axis tube, Appl. Therm. Eng. 26(17-18) (2006) 2336-2344.

[25] O. Agra, H. Demir, S.O. Atayilmaz, F. Kantas, A.S. Dalkilic, Numerical investigation of heat transfer and pressure drop in enhanced tubes, Int. Commun. Heat Mass Transf. 38(10) (2011) 1384-1391.

[26] B.E. Launder, D.B. Spalding, The numerical computation of turbulent flows, Comput. Methods Appl. Mech. Eng. 3(1974) 269-289.

[27] M. Rahimi, S.R. Shabanian, A.A. Alsairafi, Experimental and CFD studies on heat transfer and friction factor characteristics of a tube equipped with modified twisted tape inserts, Chem. Eng. Process. Process Intensif. 48(3) (2009) 762-770.

[28] H. Darcy, Recherches experimentales relatives au mouvement de l'Eau dans les Tuyaux, Mallet-Bachelier, Paris, 1857.

[29] J. Weisbach, Lehrbuch der Ingenieur und Maschinen-Mechanik, Braunschwieg, 1845.

[30] V. Gnielinski, New equations for heat mass transfer in turbulent pipe and channel flow, Int. J. Chem. React. Eng. 16(1976) 359-368.

[31] V. Gnielinski, Turbulent heat transfer in annular spaces-A new comprehensive correlation, Heat Transf. Eng. 36(9) (2014) 787-789.

[32] V. Gnielinski, Corrigendum to "on heat transfer in tubes"[International Journal of Heat and Mass Transfer 63(2013) 134-140], Int. J. Heat Mass Transf. 81(2015) 638.

[33] J. Nikuradse, Laws of ow in ough ipes, Technical Report Archive & Image Library, (1950).

[34] R.L. Webb, R.G. Eckert, R.J. Goldstein, Heat transfer and friction in tubes with repeated-rib roughness, Int. J. Heat Mass Transf. 14(1971) 601-617.

[35] Y. Wang, Y.L. He, Y.G. Lei, J. Zhang, Heat transfer and hydrodynamics analysis of a novel dimpled tube, Exp. Thermal Fluid Sci. 34(8) (2010) 1273-1281.

[36] V.D. Zimparov, V.M. Petkov, A.E. Bergles, Performance characteristics of deep corrugated tubes with twisted-tape inserts, J. Enhanc. Heat Transf. 19(1) (2012) 1-11.

[37] V. Zimparov, Extended performance evaluation criteria for enhanced heat transfer surfaces:Heat transfer through ducts with constant wall temperature, Int. J. Heat Mass Transf. 43(2000) 3137-3155.