Abstract.
This paper presents a numerical method for determining heat transfer coefficients in cross-flow heat exchangers with extended heat exchange surfaces. Coefficients in the correlations defining heat transfer on the liquid- and air-side were determined using a non-linear regression method. Correlation coefficients were determined from the condition that the sum of squared fluid temperature differences at the heat exchanger outlet, obtained by measurements and those calculated, achieved minimum. Minimum of the sum of the squares was found using the Levenberg-Marquardt method. The outlet temperature of the fluid leaving the heat exchanger was calculated using the mathematical model describing the heat transfer in the heat exchanger. Since the conditions at the liquid-side and those at the air-side are identified simultaneously, the derived correlations are valid in a wide range of flow rate changes of the air and liquid. This is especially important for partial loads of the exchanger, when the heat transfer rate is lower than the nominal load. The correlation for the average heat transfer coefficient on the air-side based on the experimental data was compared with the correlation obtained from numerical simulation of 3D fluid and heat flow, performed by means of the commercially available CFD code. The numerical predictions are in good agreement with the experimental data.
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References
Rich D (1973) The effect of fin spacing on the heat transfer and friction performance of multi-row, smooth plate fin-and-tube heat exchangers. ASHRAE Transactions 79 Part 2, No. 2288, 137–145
Wanniarachchi AS; Marto PJ; Rose JW (1986) Film condensation of steam on horizontal finned tubes: effect of fin spacing. Trans ASME, J Heat Transfer 108: 960–966
Yun JY; Lee KS (1999) Investigation of heat transfer characteristics on various kinds of fin-and-tube heat exchangers with interrupted surfaces. Int J Heat Mass Transfer 42: 2375–2385
Kays W; London A (1984) Compact heat exchangers. 3rd Ed, New York: McGraw - Hill
Kayansayan N (1993) Heat transfer characterization of flat plain fins and round tube heat exchangers. Exp Thermal Fluid Sci 6: 263–272
Yan WM; Sheen PJ (2000) Heat transfer and friction characteristics of fin-and-tube heat exchangers. Int J Heat Mass Transfer 43: 1651–1659
Wang CC; Hsiek YC; Lin YT (1997) Performance of plate finned tube heat exchangers under dehumidifying conditions. Trans ASME J Heat Transfer 119: 109–117
Mirth DR; Ramadhyani SD; Hittle DC (1993) Thermal performance of chilled-water cooling coils operating at low water velocities. ASHRAE Trans 99, Part 1, 43–53
Gnielinski V (1976) New equations for heat and mass transfer in turbulent pipe and channel flow. Int Chem Eng 16: 352–368
Petukhov BS (1970) Heat transfer and friction in turbulent pipe flow with variable physical properties. In: Hartnett JP, Irvine TV (eds) Advances in Heat Transfer. Academic Press, New York 6: 504–564
Taler D (2001) Mathematical model and experimental study of a plate-fin-and-tube heat exchanger (in Polish). The Archive of Automotive Engineering 4: 145–162
Gumula S; Taler D (2002) A numerical method for determining heat transfer coefficients in crossflow compact heat exchangers. Book of Abstracts, Vol. I, I-309, WCCM V, Fifth World Congress on Computational Mechanics, July 7–12, Vienna, Austria
Schmidt Th. E (1950) Die Wärmeleistung von berippten Oberflächen. Abh. Deutsch. Kältetechn. Verein Nr.4, Karlsruhe: C. F. Müller
Shah RK; Bell KJ (1998) Heat Exchangers, in The CRC Handbook of Mechanical Engineering, Chap. 4.5, 4–118 4–182, Ed. Kreith, F., Boca Raton: CRC Press 1998
Saboya FEM; Sparrow EM (1976) Transfer characteristics of two-row plate fin and tube heat exchanger configurations. Int J Heat Mass Transfer 19: 41–49
Jang JY; Wu MC; Chang WJ (1996) Numerical and experimental studies of three dimensional plate-fin and tube heat exchangers. Int J Heat Mass Transfer 39(14): 3057–3066
Kim NH; Youn B; Webb RL (1999) Air-side heat transfer and friction correlations for plain fin-and-tube heat exchangers with staggered tube arrangements. Trans ASME J Heat Transfer 121: 662–667
Seber GAF; Wild CJ (1989) Nonlinear Regression. New York: John Wiley and Sons
Smith DM (1934) Mean temperature difference in cross flow. Engineering. 138: 479–481 and 606–607
Schlünder EU; Martin H (1995) Einführung in die Wärmeübertragung. Braunschweig: Vieweg
ANSYS, Release 5.7. ANSYS, Inc., Southpointe, 275 Technology Drive, Canonsburg, PA, USA 2001
Table Curve. Automated curve fitting software. Jandel Scientific, San Rafael 1997, CA94901
Schmidt Th. E (1963) Der Wärmeübergang an Rippenrohren und die Berechnung von Rohrbündel-Wärmeaustauschern. Kältetechnik 15 No 4, 98; 15 No 12, 370
Krückels SW; Kottke V (1970) Investigation of the distribution of heat transfer on fins and finned tube models. Chem Eng Technol 42: 355–362
FLUENT 5.4.14, Fluent Inc., 10 Cavendish Court, Lebanon, NH03766, USA 1998
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Taler, D. Determination of heat transfer correlations for plate-fin-and-tube heat exchangers. Heat Mass Transfer 40, 809–822 (2004). https://doi.org/10.1007/s00231-003-0466-4
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DOI: https://doi.org/10.1007/s00231-003-0466-4