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Shape coefficient of a non-spherical particle to characterize heat transfer

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_The shape coefficient of a non-spherical particle to characterize heat transfer was defined by using the similarity of the transient cooling curve of a sphere. Namely, the reducing radius of the sphere could be determined to minimize the error of curve-fitting. The ratio of the reducing radius to a representative radius of a non-spherical particle was then defined as the shape coefficient. The shape coefficient was calculated for cylinders, rectangular solids, and elliptical bodies as typical non-spherical shapes, and nomographs are presented for aspect ratios from 0.1 to 10 and Biot Numbers 0_100. The nomographs are bell-shaped curves with respect to the aspect ratio, having a peak near unity and monotonously decreasing to about 50% of the shape coefficient at the peak. When the aspect ratio is changed from 1.0 to 2.0, for example, the change of the shape coefficient is only in the order of 5%. Even over a wide range of Biot Numbers, the shape coefficient differs at most by 10%. This feature permits the shape coefficient of almost all particles to be approximated by one of these three typical non-spherical shapes.

Affiliations: 1: Department of Chemical Engineering, Nagoya University, Nagoya 464-01, Japan; 2: Department of Applied Chemistry, Nagoya Institute of Technology, Nagoya 466, Japan


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