slender-body theory


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slender-body theory

[¦slen·dər ′bäd·ē ‚thē·ə·rē]
(fluid mechanics)
The theory of compressible inviscid fluid flow past bodies which have pointed noses and bases, or flat bases in supersonic flow only, and which satisfy the following conditions: (1) the ratio r of the maximum thickness to the length of the body must be small compared with unity, (2) the angle between the tangent plane to the body and the direction of motion must be small and of order r, and (3) the smoothness conditions.
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Hwang applied the slender-body theory to explain the mechanism of the drift of linear hydrodynamic coefficients which is due to the dynamic cancellation [25].
To determine the added masses and added moment of inertia, slender-body theory provides a simple estimation method.
Coefficient Slender-body theory Captive model test [X'.sub.[??]] -39.9 -42 [Y'.sub.[??]] -728 -748 [Y'.sub.[??]] 0 -9.354 [N'.sub.[??]] 0 4.646 [N'.sub.[??]] -60.7 -43.8 Table 2: Matrix of correlation coefficients.