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http://dx.doi.org/10.6110/KJACR.2012.24.3.247

A Numerical Study of Natural Convection in a Square Enclosure with two Hot Circular Cylinders  

Park, Seong-Hyun (School of Mechanical Engineering, Pusan National University)
Park, Yong-Gap (School of Mechanical Engineering, Pusan National University)
Ha, Man-Yeong (School of Mechanical Engineering, Pusan National University)
Yoon, Hyun-Sik (Advanced Ship Engineering Research Center, Pusan National University)
Son, Chang-Min (School of Mechanical Engineering, Pusan National University)
Publication Information
Korean Journal of Air-Conditioning and Refrigeration Engineering / v.24, no.3, 2012 , pp. 247-255 More about this Journal
Abstract
Numerical calculations are carried out for the natural convection in a square enclosure with two hot cylinders induced by temperature difference between a cold outer rectangular cylinder and two hot circular cylinders. A two-dimensional solution for unsteady natural convection is obtained, using the immersed boundary method (IBM) to model two inner circular cylinders based on finite volume method, for different Rayleigh numbers varying over the range of $10^3$ to $10^5$. The study goes further to investigate the effect of the location of two cylinders on the heat transfer and fluid flow. The location of inner circular cylinders is changed vertically along the center-line of square enclosure. The changes of heat transfer quantities have been presented.
Keywords
Natural convection; Rayleigh Number; Two cylinders;
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Times Cited By KSCI : 2  (Citation Analysis)
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1 Ho, C. J. and Wang, C. C., 1994, Natural convection between two horizontal cylinders inside a circular enclosure subjected to external convection, Int. J., Heat and Flow, Vol. 15, No. 4, pp. 299-306.   DOI   ScienceOn
2 Lee, J. R., Ha, M. Y., and Balachandar, S., 2007, Natural convection in a horizontal fluid layer with a periodic array of internal square cylinders-need for very large aspect ratio 2D domains, Vol. 28, No. 5, pp. 978-987.   DOI   ScienceOn
3 Kim, J. and Moin, P., 1985, Application of a fractional step method to incompressible Navier- Stokes equations, J. Comp. Physics, Vol. 59, pp. 308-323.   DOI   ScienceOn
4 Zang, Y., Street, R. L., and Koseff, J. R., 1994, A non-staggered grid, fractional step method for time-dependent incompressible Navier- Stokes equations in curvilinear coordinates, J. Comp. Physics, Vol. 114, pp. 18-33.   DOI   ScienceOn
5 Lee, J. M., Ha, M. Y., and Yoon H. S., 2010, Natural convection in a square enclosure with a circular cylinder at different horizontal and diagonal locations, Int. J., Heat and Mass Transfer, Vol, 53, No. 25-26, pp. 5905-5919.   DOI   ScienceOn
6 Kumar De, A. and Dalal, A., 2006, A numerical study of natural convection around a square, horizontal, heated cylinder placed in an enclosure, Int. J. Heat and Mass Transfer, Available online.
7 Ghaddar, N. K., 1992, Natural convection heat transfer between a uniformly heated cylinderical element and its rectangular enclosure, Int. J., Heat and Mass Transfer, Vol. 35, pp. 2327-2334.   DOI   ScienceOn
8 Cesini, G., Paroncini, M., Cortella, G., and Manzan, M., 1999, Natural convection from a horizontal cylinder in a rectangular cavity, Int. J. Heat and Mass Transfer, Vol. 42, pp. 1801-1811.   DOI   ScienceOn
9 Kim, B. S., Lee, D. S., Kim, L. S., and Ha, M. Y., 2008, A numerical study of natural convection in a square enclosure with a circular cylinder at different vertical locations, Int. J., Heat and Mass Transfer, Vol. 51, pp. 1888-1906.   DOI   ScienceOn
10 Yu, D. H., Yoon, H. S., and Ha, M. Y., 2010, Numerical study of natural convection in a square enclosure with an inner circular cylinder for Rayleigh number of $10^{7}$, Trans. of the KSME B, Vol. 34, No. 8, pp. 739-747.   과학기술학회마을   DOI
11 Corcione, M., 2007, Interactive free convection from a pair of vertical tube-arrays at moderate Rayleigh numbers, Int. J., Heat and Mass Transfer, Vol. 50, No. 5-6, pp. 1061-1074.   DOI   ScienceOn
12 Marcel, L. and Antoine J., 1996, Coupling of wall conduction with natural convection from heated cylinders in a rectangular enclosure, Int. Comm, Heat Mass Transfer, Vol. 23, No. 1, pp. 143-151.   DOI   ScienceOn
13 Yuncu, H. and Batta, A., 1994, Effect of vertical separation distance on laminar natural convection heat transfer over two vertically spaced equitemperature horizontal cylinders, Applied Scientific Research, Vol. 52, No. 3, pp. 259-277.   DOI   ScienceOn
14 Sadegh Sadeghipour, M. and Asheghi, M., 1994, Free convection heat transfer from arrays of vertically separated horizontal cylinders at low Rayleigh numbers, Int. J., Heat Mass Transfer, Vol. 37, No. 1, pp. 103-109.   DOI   ScienceOn
15 Lee, J. R. and Ha, M. Y., 2005, Numerical simulation of natural convection in horizontal enclosure with heat-generating conducting Body, Trans, of the KSME B, Vol. 29, No. 4, pp. 441- 452.   과학기술학회마을   DOI
16 Lee, J. R. Ha, M. Y., Balachandar, S., Yoon, H. S., and Lee, S. S., 2004, Natural convection in a horizontal layer of fluid with a periodic array of square cylinders in the interior, Physics of Fluids, Vol. 16, pp. 1273-1286.   DOI   ScienceOn
17 Hyun, J. M. and Lee, J. W., 1989, Numerical solutions for transient natural convection in a square cavity with different sidewall temperatures, Int. J. Heat and Fluid Flow, Vol. 10, pp. 146-151.   DOI   ScienceOn
18 Misra, D. and Sarkar, A., 1997, Finite element analysis of conjugate natural convection in a square enclosure with a conducting vertical wall, Compu. Methods Appl. Mech. Engrg., Vol. 141, pp. 205-219.   DOI   ScienceOn
19 McBain, G. D., 1997, Natural convection with unsaturated humid air in vertical cavities, Int. J. Heat and Mass Transfer, Vol. 40, pp. 3005- 3012.   DOI   ScienceOn
20 Wright, J. L., Jin, H., Hoolands, K. G. T., and Naylor, D., 2006, Flow visualization of natural convection in a tall, air-filled vertical cavity, Int. J. Heat and Mass Transfer, Vol. 49, pp. 889-904.   DOI   ScienceOn
21 Jami, M., Mezrhab, A., Bouzidi, M., and Lallemand, P., 2006, Lattice Boltzmann method applied to the laminar natural convection in an enclosure with a heat-generating cylinder conducting body, Int. J. Thermal Sci., Available online.
22 Ha, M. Y. and Jung, M. J., 2000, A numerical study on three-dimensional conjugate heat transfer of natural convection and conduction in a differentially heated cubic enclosure with a heatgenerating cubic conducting body, Int. J. Heat and Mass Transfer, Vol. 43, pp. 4229-4248.   DOI   ScienceOn
23 Asan, H., 2000, Natural convection in an annulus between two isothermal concentric square ducts, Int. Comm, Heat Mass Transfer, Vol. 27, pp. 367-376.   DOI   ScienceOn
24 Lee, J. R. and Ha, M. Y., 2005, A numerical study of natural convection in a horizontal enclosure with a conducting body, Int. J. Heat and Mass Transfer, Vol. 48, pp. 3308-3318.   DOI   ScienceOn
25 Ha, M. Y., Kim, I. K., Yoon, H. S., and Lee, S. S., 2002, Unsteady fluid flow and temperature fields in a horizontal enclosure with an adiabatic body, Physics of Fluids, Vol. 14, No. 9, pp. 3189-514.   DOI   ScienceOn
26 Ha, M. Y., Yoon, H. S., Balachandar, S., Kim, I., Lee, J. R., and Chun, H. H., 2002, Two dimensional and unsteady natural convection in a horizontal enclosure with a square body, numerical heat transfer, Vol. 41, pp. 183-210.