Abstract
A large number of experimental and analytical correlations are available for heat transfer coefficient and flow friction factor for laminar and turbulent flow through channels. In this article, a comprehensive review is made of the available correlations for the laminar and turbulent flow of single-phase Newtonian fluid through circular and noncircular ducts. The effect of property variations is discussed. Important correlations are summarized in tabular form and specific correlations are recommended for a heat exchanger design.
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References
Shah, R.K. and London, A.L., Laminar Forced Convection in Ducts, Academic, New York, 1978.
Shah, R.K. and Bhatti, M.S., Laminar Convective Heat Transfer in Ducts in Handbook of Single-Phase Convective Heat Transfer, Ed., S. Kakac, R.K. Shah and W. Aung, John Wiley, New York, pp. 3.1–3.137, 1987.
Schünder, E.U. (Ed.), Heat Exchanger Design Handbook, Hemisphere, New York, pp.2.5.1–2.5.13, 1983.
Hausen, H., Neue Gleichungen für die Wärmeübertragung bei freier oder erzwungener Strömung Allg. Waermetech., Vol.9, pp.75–79, 1959.
Kakaç, S., Laminar Forced Convection in the Combined Entrance Region of Ducts, in Natural Convection: Fundamentals and Applications, Ed. S. Kakaç, W. Aung and R. Viskanta, Hemisphere, New York, pp.165–204, 1985.
Pohlhausen, E., Der Warmeaustausch Zwischen festen Körpern und Flüssigkeiten mit Kleiner Reibung und Kleiner Warmeleitung, Z. Angew. Math. Mech., Vol.1, pp.115–121, 1921.
Delorenzo, B. and Anderson, E.D., Heat Transfer and Pressure Drop of Liquids in Double Pipe Fintube Exchangers, Trans. ASME, Vol.67, pp.697, 1945.
Stephan, K., Warmeübergang und Druckabfall beinichtausgebildeter Laminar Störmung in Rohren und ebenen Spalten, Chem. Ing. Tech., Vol.31, pp.773–778, 1959.
Deissler, R.G., Analytical Investigation of Fully Developed Laminar Flow in Tubes With Heat Transfer With Fluid Properties Variable Along the Radius, NACA TN 2410, 1951.
Yang, K.T., Laminar Forced Convection of Liquids in Tubes with Variable Viscosity, J. Heat Transfer, Vol.84, pp.353–362, 1962.
Sieder, E.N. and Tate, G.E., Heat Transfer and Pressure Drop of Liquids in Tubes, Ind. Eng. Chem., Vol.28, pp.1429–1453, 1936.
Whitaker, S., Forced Convection Heat-Transfer Correlations for Flow in Pipes, past Flat Plates, Single Cylinders, Single Spheres, and Flow in Packed Beds and Tube Bundles, AIChE, J., Vol.18, pp.361–371, 1972.
Oskay, R. and Kakaç, S., Effect of Viscosity Variations on Turbulent and Laminar Forced Convection in Pipes, METU J. Pure and Applied Sci., Vol.6, pp.211–230, 1973.
Kuznetsova, V.V., Convective Heat Transfer with Flow of a Viscous Liquids in a Horizontal Tube (in Russian), Teploenergetika, Vol.19, No.5, pp.84, 1972.
Test, F.L., Laminar Flow Heat Transfer and Fluid Flow for Liquids with a Temperature Dependent Viscosity, J. Heat Transfer, Vol.90, pp.385–393, 1968.
Worsøe-Schmidt, P.M., Heat Transfer and Friction for Laminar Flow of Helium and Carbon Dioxide in a Circular Tube at High Heating Rate, Int. J. Heat-Mass Transfer, Vol.9, pp.1291–1295, 1966.
Bhatti, M.S. and Shah, R.K., Turbulent Forced Convection in Ducts, in Handbook of Single-Phase Convective Heat Transfer, Ed. S. Kakaç, R.K. Shah and W. Aung, John Wiley, pp. 4.1–4.166, New York, 1987.
Petukhov, B.S. and Popov, V.N., Theoretical Calculation of Heat Exchange and Frictional Resistance in Turbulent Flow in Tubes of Incompressible Fluid with Variable Physical Properties, High Temperature, Vol.1, No.1, pp.69–83, 1963.
Petukhov, B.S., Heat Transfer and Friction in Turbulent Pipe Flow with Variable Physical Properties, Advances in Heat Transfer, Ed. J.P. Hartnett and T.V. Irvine, Academic Press, New York, Vol.6, pp.504–564, 1970.
Webb, R.I., A Critical Evaluation of Analytical Solutions and Reynolds Analogy Equations for Heat and Mass Transfer in Smooth Tubes, Warme-und Staffübertragung, Vol.4, pp.197–204, 1971.
Sleicher, C.A. and Rause, M.W., A Convenient Correlation for Heat Transfer to Constant and Variable Property Fluids in Turbulent Pipe Flow Int. J. Heat Mass Transfer, Vol.18, pp.677–683, 1975.
Gnielinski, V., New Equations for Heat and Mass Transfer in Turbulent Pipe and Channel Flow, Int. Chem. Eng., Vol.16, pp.359–368, 1976.
Kays, W.M. and Crawford, M.E., Convective Heat and Mass Transfer, Second Edition, McGraw Hill, New York, 1981.
Kakaç, S. and Yener, Y., Convective Heat Transfer, METU Publication No.65, Ankara, Turkey; distributed by Hemisphere, New York, 1980.
McAdams, W.H., Heat Transmission, Third edition, McGraw Hill, New York, 1954.
Kakaç, S., The Effects of Temperature-Dependent Fluid Properties on Convective Heat Transfer, in Handbook of Single-Phase Convective Heat Transfer, Ed. S. Kakaç, R.K. Shah and W. Aung, John Wiley, New York, pp.18.1–18.92, 1987.
Hausen, H., Darstellung des Warmeüberganges in Rohren durch verallgemeinerte Potenzbeziebungen, Z. Ver. Dtsch. Ing. Beiheft Verfahrenstech., No.4, pp.91–134, 1943.
Rehme, K., A Simple Method of Prediciting Friction Factors of Turbulent Flow in Noncircular Channels, Int. J. Heat Mass Transfer, Vol.16, pp.933–950, 1973.
Malak, J., Hejna, J. and Schmid, J., Pressure Losses and Heat Transfer in Noncircular Channels with Hydraulically Smooth Walls, Int. J. Heat Mass Transfer, Vol.18, pp.139–149, 1975.
Brundrett, E., Modified Hydraulic Diameter, Turbulent Forced Convection in Channels and Bundles, Ed. S. Kakaç and D.B. Spalding, Vol.1, pp.361–367, Hemisphere, New York, 1979.
Perkis, H.C. and Wors∅e-Schmidt, P., Turbulent Heat and Momentum Transfer for Gases in a Circular Tube at Wall to Bulk Temperature Ratios to Seven, Int. J. Heat Mass Transfer, Vol.8, pp.1011–1031, 1965.
McElligot, D.M., Magee, P.M. and Leppert, G., Effect of Large Temperature Gradients on Convective Heat Transfer; the Downstream region, J. Heat Transfer, Vol.87, pp.67–76, 1965.
Colbourn, A.P., A Method of Correlating Forced Convection Heat Transfer Data and Comparison with Fluid Friction, Trans. AIChE, Vol.29, pp.174–210, 1933.
Hufschmidt, W., Burck, E. and Riebold, W., Die Bestimmung Örlicher und Warmeübergangs-Zahlen in Rohren bei Hohen Warmestromdichten, Int. J. Heat Mass Transfer, Vol.9, pp.539–565, 1966.
Rogers, D.G., Forced Convection Heat Transfer in Single Phase Flow of a Newtonian Fluid in a Circular Pipe, CSIR Report CENG 322, Pretoria, South Africa, 1980.
Hausen, H., Extended Equation for Heat Transfer in Tubes at Turbulent Flow, Warme-und Stoffübertragung, Vol.7, pp.222–225, 1974.
Humble, L.V., Lowdermilk, W.H. and Desmon, L.G., Measurement of Average Heat Transfer and Friction Coefficients for Subsonic Flow of Air in Smooth Tubes at High Surface and Fluid Temperature, NACA Report 1020, 1951.
Barnes, J.F. and Jakson, J.D., Heat Transfer to Air, Carbon Dioxide and Helium Flowing through Smooth Circular Tubes under Conditions of Large Surface/Gas Temperature Ratio, J. Mech. Eng. Sci., Vol.3, No.4, pp.303–314, 1961.
Dalle-Donne, M. and Bowditch, P.W., Experimental Local Heat Transfer and Friction Coefficients for Subsonic Laminar Transitional and Turbulent Flow of Air or Helium in a Tube at High Temperatures, Dragon Project Rept. 184, Winfirth, Dorchester, Dorset, U.K., 1963.
Kakaç, S., Shah, R.K. and Aung, W. (Eds.), Handbook of Single-Phase Convective Heat Transfer, John Wiley, New York, 1987.
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© 1988 Kluwer Academic Publishers
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Kakaç, S., Oskay, R., Zhang, H.Y. (1988). Correlations for Forced Convection in Ducts. In: Kakaç, S., Bergles, A.E., Fernandes, E.O. (eds) Two-Phase Flow Heat Exchangers. NATO ASI Series, vol 143. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2790-2_4
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DOI: https://doi.org/10.1007/978-94-009-2790-2_4
Publisher Name: Springer, Dordrecht
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