Approximation of Axisymmetric Body Forms for Specified Pressure Distributions

The complex relationship between body profile and pressure distribution is important in the design of high-speed undersea bodies. For slender axisymmetric bodies integration of the equations for irrotational flow has been accomplished, the coordinates of the body profile being related to the pressur...

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Bibliographic Details
Published in:Journal of applied physics 1951-01, Vol.22 (7), p.864-868
Main Authors: McNown, John S., Hsu, En-Yun
Format: Article
Language:English
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Summary:The complex relationship between body profile and pressure distribution is important in the design of high-speed undersea bodies. For slender axisymmetric bodies integration of the equations for irrotational flow has been accomplished, the coordinates of the body profile being related to the pressure distribution through coefficients of Legendre polynomials. The limitations and applications of this approximate analysis have been demonstrated through comparisons with preassigned conditions and with the results of experiments. Computed values closely approach those preassigned or measured throughout the central portion of the body if the maximum diameter does not exceed three-tenths of the length. The analysis is accordingly useful in designing bodies with low coefficients of drag and low incipient cavitation numbers.
ISSN:0021-8979
1089-7550
DOI:10.1063/1.1700064