Heat Transfer by Laminar Natural Convection Within Rectangular Enclosures

[+] Author and Article Information
M. E. Newell, F. W. Schmidt

Mechanical Engineering Department, The Pennsylvania State University, University Park, Pa.

J. Heat Transfer 92(1), 159-167 (Feb 01, 1970) (9 pages) doi:10.1115/1.3449616 History: Received July 09, 1968; Revised February 25, 1969; Online August 11, 2010


Two-dimensional laminar natural convection in air contained in a long horizontal rectangular enclosure with isothermal walls at different temperatures has been investigated using numerical techniques. The time-dependent governing differential equations were solved using a method based on that of Crank and Nicholson. Steady-state solutions were obtained for height to width ratios of 1, 2.5, 10, and 20, and for values of the Grashof number, GrL, covering the range 4 × 103 to 1.4 × 105 . The bounds on the Grashof number for H/L = 20 is 8 × 103 ≤ GrL ≤ 4 × 104 . The results were correlated with a three-dimensional power law which, yielded

H/L = 1
 N̄uL = 0.0547 (GrL)0.397
2.5 ≤ H/L ≤ 20
 N̄uL = 0.155 (GrL)0.315(H/L)−0.265
The results compare favorably with available experimental results.

Copyright © 1970 by ASME
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