Note on the interpretation of two-dimensional theories of growing cavities
1964 ◽
Vol 19
(1)
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pp. 137-144
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Keyword(s):
It is shown in general how a two-dimensional flow can be justified as a physical approximation, notwithstanding the logarithmic singularity in pressure that occurs at infinity when the cavity expands or contracts at a varying rate. The argument presented, which affords a more natural interpretation than alternatives previously suggested, refers to the approximate equivalence-to a determinable degree of accuracy-between the hypothetical plane flow and the inner region of some real three-dimensional flow with small spanwise variations. The main ideas are illustrated by the example of a long ellipsoidal body which changes in volume while also undergoing shape perturbations.
1963 ◽
Vol 16
(4)
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pp. 620-632
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1968 ◽
Vol 72
(686)
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pp. 171-177
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1995 ◽
Vol 117
(2)
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pp. 208-218
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2013 ◽
1967 ◽
Vol 71
(684)
◽
pp. 866-867
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