Optimal Geometric Arrangement of Staggered Vertical Plates in Natural Convection

Author:

Ledezma G. A.1,Bejan A.1

Affiliation:

1. Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC 27708-0300

Abstract

This paper documents the geometric optimization of an assembly of staggered vertical plates that are installed in a fixed volume. The heat transfer is by laminar natural convection. The objective is to maximize the overall thermal conductance between the assembly of plates and the surrounding fluid. The geometric parameters that vary are the horizontal spacing between adjacent columns of plates, the number of plates mounted in each vertical column, the plate dimensions, and the stagger between columns. The optimization is performed numerically and experimentally in the range Pr = 0.72 and 103 ≤ RaL ≤ 106, where RaL is the Rayleigh number based on the vertical dimension of the assembly (L). The results for the optimal horizontal spacing are correlated using formulas derived from the theory of the intersection of asymptotes (Bejan, 1984, 1995).

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Reference27 articles.

1. Anand N. K. , KimS. H., and FletcherL. S., 1992, “The Effect of Plate Spacing on Free Convection Between Heated Parallel Plates,” ASME JOURNAL OF HEAT TRANSFER, Vol. 114, pp. 515–518.

2. Bar-Cohen A. , and RohsenowW. M., 1984, “Thermally Optimum Spacing of Vertical, Natural Convection Cooled, Parallel Plates,” ASME JOURNAL OF HEAT TRANSFER, Vol. 106, pp. 116–123.

3. Bejan, A., 1984, Convection Heat Transfer, John Wiley & Sons, Inc., New York, p. 157, problem 11.

4. Bejan, A., 1993, Heat Transfer, John Wiley & Sons, Inc., New York.

5. Bejan, A., 1995, Convection Heat Transfer, 2nd ed., John Wiley & Sons, Inc., New York, pp. 202–205.

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