Natural Convection Heat Transfer from Inclined Cylinders: A Unified Correlation
Authors: Neetu Rani, Hema Setia, Marut Dutt. R.K. Wanchoo
Abstract:
An empirical correlation for predicting the heat transfer coefficient for a cylinder under free convection, inclined at any arbitrary angle with the horizontal has been developed in terms of Nusselt number, Prandtl number and Grashof number. Available experimental data was used to determine the parameters for the proposed correlation. The proposed correlation predicts the available data well within ±10%, for Prandtl number in the range 0.68-0.72 and Grashof number in the range 1.4×104–1.2×1010.
Keywords: Heat transfer, inclined cylinders, natural convection, Nusselt number, Prandtl number, Grashof number.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1090530
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 5957References:
[1] W. E. Stewart, "Experimental free convection from an inclined cylinder”, J Heat Transfer, vol. 103, no. 4, pp. 817-819, 1981.
[2] C. O. Popiel, "Free Convection heat transfer from vertical slender cylinders: a review”, Heat Transfer Eng., vol. 29, no. 6, pp. 521-536, 2008.
[3] E.M. Sparrow, J.L. Gregg, "Laminar free convection heat transfer from the outer surface of a vertical circular cylinder”, Trans. of ASME, pp. 1823-1829, 1956.
[4] Stuart W. Churchill, Humbert H.S. Chu, "Correlating equations for laminar and turbulent free convection from a horizontal cylinder”, Int. J. Heat Mass Transfer, vol. 18, no. 9, pp. 1049-1053, 1975.
[5] T. Cebeci, "Laminar free convection heat transfer from the outer surface of vertical slender circular cylinder”, Int. Heat Transfer Conf., 5th Proc. Jpn. Soc. of Mech. Eng, Tokyo, Japan, pp.15.
[6] R. H. Nagendra, A.M. Tirunarayanan, A. Ramachandran, "Free convection heat transfer from vertical cylinders and wires”, Chem. Engg. Sci., vol.24, pp. 1491-1495, 1969.
[7] M. Arshad, M. H. Inayat, I. R. Chughati, "Experimental study of natural convection heat transfer from an enclosed assembly of thin vertical cylinders”, Appl. Thermal Engg., vol. 31, pp. 20-27, 2011.
[8] Vincent T. Morgan, "The overall convective heat transfer from smooth inclined cylinders”, Adv. Heat Transfer, vol. 11, pp. 199-64, 1975.
[9] P.H. Oosthuizen, "Free convective heat transfer from vertical cylinders with exposed ends”, Trans. of the Canadian Society for Mech. Engg., vol. 5, no. 4, pp. 231-234, 1979.
[10] F. Kimura, "Fluid flow and heat transfer of natural convection around heated vertical cylinders (effect of cylinder diameter)”, JSME Int. J. Ser. B, Fluids and Thermal Engg., vol.47, no.2, pp.156, 2004.
[11] K. Sugiyama, Y. Ma, R. Ishiguro, "Laminar natural convection heat transfer from a horizontal circular cylinder to liquid metals”, ASME J. Heat, vol. 113, no. 1, pp. 91-96, 1999.
[12] Y. G. Leonenko, V.A. Antipin, "Natural convection heat transfer from a horizontal circular cylinder to fluid at near critical condition”, Int. J. Heat Mass Transfer, vol. 40, no. 7, pp. 1617-1620, 1997.
[13] O. Reymond, D. B. Murray, T. S. O’Donovan, "Natural convection heat transfer from two horizontal cylinders”, Exp. Thermal and Fluid Sci., vol. 32, pp. 1702-1709, 2008.
[14] S. B. Clemes, K. G. T. Hollands, A. P. Brunger, "Natural convection heat transfer from long horizontal isothermal cylinders”, J. Heat Transfer, vol. 116, pp. 96-104, 1994.
[15] R. M. Fand, E.W. Morris, M. Lum, "Natural convection heat transfer from horizontal cylinders to air, water and silicon oils for Rayleigh numbers between 3×102 and 2×107”, Int. J. Heat Mass Transfer, vol. 20, no. 11, pp. 1173-1184, 1977.
[16] W. Koch, Beih. Gesundh. Ing., vol. 22, pp. 1-27, 1927.
[17] S. B. Muhaddin, "Effect of cylinder inclination on natural convection heat transfer coefficient”, M.Sc. Thesis, University of Mosul, 1978.
[18] P.H. Oosthuizen, "Experimentally study of free convective heat transfer from inclined cylinders”, ASME J. Heat Transfer, pp. 672-674, 1976.
[19] M. Al-Urabi, Y. K. Salman, "Laminar natural convection heat transfer from an inclined cylinder”, Int. J. Heat Mass Transfer, vol. 23, no. 1, pp. 45-51, 1980.
[20] M. Al-Arabi, M. Khamis,” Natural convection heat transfer from inclined cylinders”, Int. J. Heat Mass Transfer, vol. 25, no. 1, pp.3-15, 1982
[21] J. Chand, D. Vir, "A unified approach to natural convection heat transfer in the laminar region from horizontal and inclined cylinders”, Letters in Heat and Mass Transfer, vol. 7, no. 3, pp. 213-225.
[22] V. Gupta, "Natural convection heat transfer from inclined cylinders”, M.Sc. Thesis, Panjab University, 1978.
[23] J. C. Bansal, "Natural convection heat transfer from inclined cylinders”, Ph.D. Thesis, Panjab University, 1976.
[24] Jeong-Hwan Heo, Bum-Jin Chung, "Natural convection heat transfer on the outer surface of inclined cylinders”, Chem. Eng. Sci., vol. 73, pp. 366-372, 2012.
[25] K. Jodlbauer, "Das temperature-und geschwindigkeitsfeld um ein geheiztes rohr bei freier konvektion”, Forschung Im Ingenieurwesen, vol. 4, no. 4, pp. 157-172, 1933.
[26] W. Elenbaas, "The dissipation of heat by free convection from vertical and horizontal cylinders”, J. Applied Physics, vol. 19, no. 12, pp. 1148-1154, 1948.
[27] C. W. Rice, Trans. of American Inst. Electro. Engrs., vol. 42, pp. 653, 1956.