Experimental determination of correlations for mean heat transfer coefficients in plate fin and tube heat exchangers

• Autorzy: Taler D.
• Języki publikacji: EN

Abstrakty

EN

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 nonlinear regression method. Correlation coefficients were determined from the condition that the sum of squared liquid and air 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 uncertainty in estimated parameters was determined using the error propagation rule by Gauss. The outlet temperature of the liquid and air leaving the heat exchanger was calculated using the analytical model of the heat exchanger.

Słowa kluczowe

EN

heat transfer correlations; mathematical model; tube and plate fin heat exchangers

PL

model matematyczny; przenikanie ciepła; wymiennik ciepła

• Wydawca: Wydawnictwo Instytutu Maszyn Przepływowych PAN ; Komitet Termodynamiki i Spalania PAN
• Czasopismo: Archives of Thermodynamics
• Rocznik: 2012
• Tom: Vol. 33, no. 3
• Strony: 3--26
• Opis fizyczny: Bibliogr. 22 poz.,Rys., tab.,

Twórcy

autor

Taler D.

• Institute of Heat Transfer Engineering and Air Protection, Faculty of Environmental Engineering, Cracow University of Technology, Warszawska 24, 31-155 Cracow, Poland

Bibliografia

• [1] WELTY J.R., WICKS CH.E., WILSON R.E., RORRER G.L.: Fundamentals of Momentum, Heat, and Mass Transfer, 5th edn. John Wiley & Sons, New York 2007.
• [2] McADAMS W.H.: Heat Transmissions, 3rd edn. McGraw-Hill, New York 1954.
• [3] SHAH R. K., SEKULIĆ D.P.: Fundamentals of Heat Exchanger Design. Wiley, Hoboken 2003.
• [4] DITTUS F.W., BOELTER L.M.K.: Heat transfer in automobile radiators of the tubular type. University of California Publ. on Eng. 2(1930), 443-461, reprinted in: Int. Commun. Heat Mass Transfer 12(1985), 3-22.
• [5] PRANDTL L.: Eine Beziehung zwischen Wärmeaustausch und Strömungswider stand der Flüssigkeit. Z. Physik, 11(1910), 1072-1078.
• [6] PETUKHOV B.S., GENIN A.G., KOVALEV S.A.: Heat Transfer in Nuclear Power Plants. Atomizdat, Moscow 1974 (in Russian).
• [7] PRANDTL L.: Führer durch die Strömungslehre. Vieweg und Sohn, Braunschweig 1944.
• [8] LYON R.N.: Liquid metal heat transfer coefficients. Chem. Engr. Progr. 47(1951), 2, 75-79.
• [9] KUTATELADZE S.S.: Fundamentals of Heat Transfer. Edward Arnold, London 1963.
• [10] REICHHARDT H.: Vollständige Darstellung der turbulenten Geschwindigkeits-verteilung in glatten Leitungen. Angew. Math. Mech. 30(1951), 7, 208-219.
• [11] GNIELINSKI V.: Neue Gleichungen für den Wärme- und den Stoffübergang in turbulent durchströmten Rohren und Kanälen. Forschung im Ingenieurwesen 41(1975), 1, 8-16.
• [12] GNIELINSKI V.: New equations for heat and mass transfer in turbulent pipe and channel flow. Int. Chem. Engng. 16(1976), 359-368.
• [13] WILSON E.E.: A basis for rational design of heat transfer apparatus. Trans. ASME 37(1915), 47-70.
• [14] WEBB R.L., NARAYANAMURTHY R., THORS P.: Heat transfer and friction characteristics of internal helical-rib roughness. Trans. ASME, J. Heat Transfer 122(2000), 134-142.
• [15] KAYS W.M., LONDON A.L.: Compact Heat Exchangers. McGraw-Hill, 3rd edn. New York 1984.
• [16] TALER D.: Dynamics of Tube Heat Exchangers. AGH University of Science and Technology Press, Cracow 2009 (in Polish).
• [17] TALER D.: Methods for obtaining heat transfer correlations for plate finned heat exchangers using experimental and CFD simulated data. Arch. Thermodynamics 25(2004), 4, 31-54.
• [18] TALER D.: Experimental and numerical predictions of the heat transfer correlations in the cross-flow plate fin and tube heat exchangers. Arch. Thermodynamics 28(2007), 2, 3-18.
• [19] SEBER G.A.F., WILD C.J.: Nonlinear Regression. Wiley, New York 1989.
• [20] TALER D.: Theoretical and experimental analysis of heat exchangers with extended surfaces. Cracow Branch of Polish Academy of Sciences, Automotive Committee, Cracow, Poland 2002, Vol. 25, Monograph 3.
• [21] BEVINGTON P.R.: Data Reduction and Error Analysis for the Physical Sciences. McGraw-Hill, New York 1969.
• [22] TALER D., TROJAN M., TALER J.: Numerical modeling of cross-flow tube heat exchangers with complex flow arrangements. In: Evaporation, Condensation and Heat Transfer, Amimul Ahsan Ed., Chap. 13, 261-278. InTech, Rijeka-Shanghai 2011.