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True average size of a fragment between any chosen limits.

Author: Sidney Kravitz; AND Louis Wiesenfeld; PICATINNY ARSENAL DOVER NJ AMMUNITION DEVELOPMENT AND ENGINEERING DIRECTORATE.
Publisher: Ft. Belvoir Defense Technical Information Center JUL 1963.
Edition/Format:   Print book : English
Database:WorldCat
Summary:
The object of this study was to develop a method for determining the correct average fragment size, between any chosen limits, of a range of sizes. Ordinarily, the arithmetic average of the lower and upper limits of a grouping is assumed to be the average fragment weight of that group. According to Mott's distribution, the smaller the fragment, the greater is the number of fragments. Therefore the arithmetic average  Read more...
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Document Type: Book
All Authors / Contributors: Sidney Kravitz; AND Louis Wiesenfeld; PICATINNY ARSENAL DOVER NJ AMMUNITION DEVELOPMENT AND ENGINEERING DIRECTORATE.
OCLC Number: 227315524
Description: 30 p.

Abstract:

The object of this study was to develop a method for determining the correct average fragment size, between any chosen limits, of a range of sizes. Ordinarily, the arithmetic average of the lower and upper limits of a grouping is assumed to be the average fragment weight of that group. According to Mott's distribution, the smaller the fragment, the greater is the number of fragments. Therefore the arithmetic average of any grouping of fragment sizes would be larger than the true average. By writing an expression for the average size of a fragment in an interval between m and m delta m (where delta m is small), allowing delta m to approach a limit of zero, and substituting Mott's equation in the resulting differential and integrating, we get a generalized expression for the true average size of a fragment between any chosen limits. (Author).

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