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Research Papers: Natural and Mixed Convection

Laminar Natural Convection From Isothermal Vertical Cylinders: Revisting a Classical Subject

[+] Author and Article Information
Jerod C. Day

Mechanical and Energy Engineering,
University of North Texas,
Denton, TX 76203

Matthew K. Zemler

Mechanical Engineering,
Embry-Riddle Aeronautical University,
Daytona Beach, FL 32114

Matthew J. Traum

Mechanical Engineering,
Milwaukee School of Engineering,
Milwaukee, WI 53202

Sandra K. S. Boetcher

Mechanical Engineering,
Embry-Riddle Aeronautical University,
Daytona Beach, FL 32114
e-mail: sandra.boetcher@erau.edu

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the Journal of Heat Transfer. Manuscript received December 26, 2011; final manuscript received August 13, 2012; published online January 3, 2013. Assoc. Editor: Giulio Lorenzini.

J. Heat Transfer 135(2), 022505 (Jan 03, 2013) (9 pages) Paper No: HT-11-1587; doi: 10.1115/1.4007421 History: Received December 26, 2011; Revised August 13, 2012

Although an extensively studied classical subject, laminar natural convection heat transfer from the vertical surface of a cylinder has generated some recent interest in the literature. In this investigation, numerical experiments are performed to determine average Nusselt numbers for isothermal vertical cylinders (102<RaL<109,0.1<L/D<10, and Pr = 0.7) situated on an adiabatic surface in a quiescent ambient environment. Average Nusselt numbers for various cases will be presented and compared with commonly used correlations. Using Nusselt numbers for isothermal tops to approximate Nusselt numbers for heated tops will also be examined. Furthermore, the limit for which the heat transfer results for a vertical flat plate may be used as an approximation for the heat transfer from a vertical cylinder will be investigated.

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References

Incropera, F. P., Dewitt, D. P., Bergman, T. L., and Lavine, A. S., 2007, Introduction to Heat Transfer, 5th ed., John Wiley & Sons, Inc., Hoboken, NJ.
Incropera, F. P., Dewitt, D. P., Bergman, T. L., and Lavine, A. S., 2007, Fundamentals of Heat and Mass Transfer, 6th ed., John Wiley & Sons, Inc., Hoboken, NJ.
Holman, J. P., 2010, Heat Transfer, 10th ed., McGraw-Hill Companies, Inc., New York.
Burmeister, L., 1993, Convective Heat Transfer, 2nd ed., John Wiley & Sons, Inc, New York.
Gebhart, B., Jaluria, Y., Mahajan, R. L., and Sammakia, B., 1988, Buoyancy-Induced Flows and Transport: Reference Edition, Hemisphere Publishing Company, New York.
Sparrow, E. M., and Gregg, J. L., 1956, “Laminar-Free-Convection Heat Transfer From the Outer Surface of a Vertical Circular Cylinder,” Trans. ASME, 78, pp. 1823–1829.
LeFevre, E. J., and Ede, A. J., 1956, “Laminar Free Convection From the Outer Surface of a Vertical Cylinder,” Proceedings of the 9th International Congress on Applied Mechanics, pp. 175–183.
Ede, A. J., 1967, “Advances in Free Convection,” Advances in Heat Transfer, Academic Press, New York, pp. 1–64.
Cebeci, T., 1974, “Laminar-Free-Convective-Heat Transfer From the Outer Surface of a Vertical Circular Cylinder,” Proceedings of the 5th International Heat Transfer Conference, Tokyo, pp. 1–64.
Popiel, C. O., 2008, “Free Convection Heat Transfer From Vertical Slender Cylinders: A Review,” Heat Transfer Eng., 29, pp. 521–536. [CrossRef]
Churchill, S. W., and Chu, H. H. S., 1975, “Correlating Equations for Laminar and Turbulent Free Convection From a Vertical Plate,” Int. J. Heat Mass Transfer, 18, pp. 1323–1329. [CrossRef]
Minkowycz, W. J., and Sparrow, E. M., 1974, “Local Nonsimilar Solutions for Natural Convection on a Vertical Cylinder,” ASME J. Heat Transfer, 96, pp. 178–183. [CrossRef]
Lee, H. R., Chen, T. S., and Armaly, B. F., 1988, “Natural Convection Along Slender Vertical Cylinders With Variable Surface Temperature,” ASME J. Heat Transfer, 110, pp. 103–108. [CrossRef]
Fujii, T., and Uehara, H., 1970, “Laminar Natural-Convective Heat Transfer From the Outside of a Vertical Cylinder,” Int. J. Heat Mass Transfer, 13, pp. 607–615. [CrossRef]
Muñoz-Cobo, J. L., Corberán, J. M., and Chiva, S., 2003, “Explicit Formulas for Laminar Natural Convection Heat Transfer Along Vertical Cylinders With Power-Law Wall Temperature Distribution,” Heat Mass Transfer, 39, pp. 215–222. [CrossRef]
Kimura, F., Tachibana, T., Kitamura, K., and Hosokawa, T., 2004, “Fluid Flow and Heat Transfer of Natural Convection Around Heated Vertical Cylinders (Effect of Cylinder Diameter),” JSME Int. J. Ser. B, 47, pp. 159–161. [CrossRef]
Popiel, C. O., Wojtkowiak, J., and Bober, K., 2007, “Laminar Free Convective Heat Transfer From Isothermal Vertical Slender Cylinders,” Exp. Therm. Fluid Sci., 32, pp. 607–613. [CrossRef]
Gori, F., Serrano, M. G., and Wang, Y., 2006, “Natural Convection Along a Vertical Thin Cylinder With Uniform and Constant Wall Heat Flux,” Int. J. Thermophys., 27, pp. 1527–1538. [CrossRef]
Oosthuizen, P. H., 1979, “Free Convective Heat Transfer From Vertical Cylinders With Exposed Ends,” Trans. Can. Soc. Mech. Eng., 5(4), pp. 231–234.
Eslami, M., and Jafarpur, K., 2011, “Laminar Natural Convection Heat Transfer From Isothermal Vertical Cylinders With Active Ends,” Heat Transfer Eng., 32, pp. 506–513. [CrossRef]
Yovanovich, M. M., 1987, “On the Effect of Shape, Aspect Ratio and Orientation Upon Natural Convection From Isothermal Bodies of Complex Shape,” Convective Transport, Winter Annual Meeting of the American Society of Mechanical Engineers, Boston, MA, ASME HTD, 82, pp. 121–129.
Lee, S., Yovanovich, M. M., and Jafarpur, K., 1991, “Effects of Geometry and Orientation on Laminar Natural Convection From Isothermal Bodies,” J. Thermophys. Heat Transfer, 5, pp. 2208–2216. [CrossRef]
Churchill, S., and Churchill, R., 1975, “A Comprehensive Correlating Equation for Heat and Component Transfer by Free Convection,” AICHE J., 21, pp. 604–606. [CrossRef]
Yovanovich, M., 1987, “New Nusselt and Sherwood Numbers for Arbitrary Isopotential Geometries at Near Zero Peclet and Rayleigh Numbers,” Proceedings of the 22nd Thermophysics Conference, AIAA, Honolulu, HI.
Kitamura, K., and Kimura, F., 2008, “Fluid Flow and Heat Transfer of Natural Convection Over Upward-Facing, Horizontal Heated Circular Disks,” Heat Transfer–Asian Res., 6, pp. 339–351. [CrossRef]
Kobus, C., and Wedekind, G., 2001, “An Experimental Investigation Into Natural Convection Heat Transfer From Horizontal Isothermal Circular Disks,” Int. J. Heat Mass Transfer, 44, pp. 3381–3384. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Schematic diagram of the solution domain

Grahic Jump Location
Fig. 2

Insulated-top average Nusselt number versus Rayleigh number for AR = 0.1

Grahic Jump Location
Fig. 5

Insulated-top average Nusselt number versus Rayleigh number for AR = 0.5

Grahic Jump Location
Fig. 6

Insulated-top average Nusselt number versus Rayleigh number for AR = 1

Grahic Jump Location
Fig. 7

Insulated-top average Nusselt number versus Rayleigh number for AR = 2

Grahic Jump Location
Fig. 8

Insulated-top average Nusselt number versus Rayleigh number for AR = 5

Grahic Jump Location
Fig. 9

Insulated-top average Nusselt number versus Rayleigh number for AR = 8

Grahic Jump Location
Fig. 10

Insulated-top average Nusselt number versus Rayleigh number for AR = 10

Grahic Jump Location
Fig. 3

Insulated-top average Nusselt number versus Rayleigh number for AR = 0.125

Grahic Jump Location
Fig. 4

Insulated-top average Nusselt number versus Rayleigh number for AR = 0.2

Grahic Jump Location
Fig. 11

Comparison of average Nusselt number versus Rayleigh number for AR = 0.1

Grahic Jump Location
Fig. 12

Comparison of average Nusselt number versus Rayleigh number for AR = 0.125

Grahic Jump Location
Fig. 13

Comparison of average Nusselt number versus Rayleigh number for AR = 0.2

Grahic Jump Location
Fig. 14

Comparison of average Nusselt number versus Rayleigh number for AR = 0.5

Grahic Jump Location
Fig. 15

Comparison of average Nusselt number versus Rayleigh number for AR = 1

Grahic Jump Location
Fig. 16

Comparison of average Nusselt number versus Rayleigh number for AR = 2

Grahic Jump Location
Fig. 17

Comparison of average Nusselt number versus Rayleigh number for AR = 5

Grahic Jump Location
Fig. 18

Comparison of average Nusselt number versus Rayleigh number for AR = 8

Grahic Jump Location
Fig. 19

Comparison of average Nusselt number versus Rayleigh number for AR = 10

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