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RESEARCH PAPER

Optimal Spacings for Mixed Convection

[+] Author and Article Information
T. Bello-Ochende, A. Bejan

Department of Mechanical Engineering and Materials Science, Duke University, Box 90300, Durham, NC 27708-0300

J. Heat Transfer 126(6), 956-962 (Jan 26, 2005) (7 pages) doi:10.1115/1.1833363 History: Received September 10, 2003; Revised February 26, 2004; Online January 26, 2005
Copyright © 2004 by ASME
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References

Bejan, A., 2000, Shape and Structure: From Engineering to Nature, Cambridge University Press, Cambridge, UK.
Bar-Cohen,  A., and Rohsenow,  W. M., 1984, “Thermally Optimum Spacing of Vertical, Natural Convection Cooled, Parallel Plates,” ASME J. Heat Transfer, 106, pp. 116–123.
Bejan, A., 1984, Convection Heat Transfer, Wiley, New York, Problem 11, p. 157, Chpt. 4.
Bejan,  A., and Sciubba,  E., 1992, “The Optimal Spacing for Parallel Plates Cooled by Forced Convection,” Int. J. Heat Mass Transfer, 35, pp. 3259–3264.
Bhattacharjee, S., and Grosshandler, W. L., 1988, “The Formation of Wall Jet Near A High Temperature Wall Under Microgravity Environment,” ASME HTD 96, ASME, New York, pp. 711–716.
Petrescu,  S., 1994, “Comments on the Optimal Spacing of Parallel Plates Cooled by Forced Convection,” Int. J. Heat Mass Transfer, 37, p. 1283.
Furukawa,  T., and Yang,  W.-J., 2003, “Thermal Optimization of Channel Flows With Discrete Heating Sections,” J. Non-Equilib. Thermodyn., 28, pp. 299–310.
FIDAP Theory Manual, 1998, Fluid Dynamics International, Evanston, IL, Revision 8.6.
Anand,  N. K., Kim,  S. H., and Fletcher,  L. S., 1992, “The Effects of Plate Spacing on Free Convection Between Heated Parallel Plates,” ASME J. Heat Transfer, 114, pp. 515–518.
Kim, S. J., and Lee, S. W., eds., 1996, Air Cooling Technology for Electronic Equipment, CRC Press, Boca Raton, FL, Chap. 1.
Mereu,  S., Sciubba,  E., and Bejan,  A., 1993, “The Optimal Cooling of a Stack of Heat Generating Boards With Fixed Pressure Drop, Flow Rate or Pumping Power,” Int. J. Heat Mass Transfer, 36, pp. 3677–3686.
Fowler,  A. J., Ledezma,  G. A., and Bejan,  A., 1997, “Optimal Geometric Arrangement of Staggered Plates in Forced Convection,” Int. J. Heat Mass Transfer, 40, pp. 1795–1805.
Lewins,  J., 2003, “Bejan’s Constructal Theory of Equal Potential Distribution,” Int. J. Heat Mass Transfer, 46, pp. 1541–1543.
Churchill,  S. W., and Usagi,  R., 1972, “A General Expression for Correlation of Rates of Transfer and Other Phenomena,” AIChE J., 18, pp. 1121–1128.
Churchill,  S. W., and Chu,  H. H. S., 1975, “Correlating Equations for Laminar and Turbulent Free Convection From Vertical Plates,” Int. J. Heat Mass Transfer, 18, pp. 1323–1329.
Bejan, A., 2004, Convection Heat Transfer, third edition, Wiley, New York.

Figures

Grahic Jump Location
Computational domain and boundary conditions for parallel plates channel
Grahic Jump Location
The effect of Prandtl number and pressure drop number on the optimal spacing in the forced convection limit
Grahic Jump Location
The effect of Prandtl number and pressure drop number on the maximal heat transfer rate density in the forced convection limit
Grahic Jump Location
The effect of Prandtl number and Rayleigh number on the optimal spacing in the natural convection limit
Grahic Jump Location
The effect of Prandtl number and Rayleigh number on the maximal heat transfer rate density in the natural convection limit
Grahic Jump Location
The effect of channel spacing on the heat transfer density in mixed convection
Grahic Jump Location
The effect of the mixed convection parameter (Ra/Be)1/4 and Prandtl number on the optimal spacing
Grahic Jump Location
The effect of the mixed convection parameter (Ra/Be)1/4 and Prandtl number on the maximal heat transfer rate density

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