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The torque on an infinite strip exposed to plane sound waves

Published online by Cambridge University Press:  24 October 2008

Harold Levine
Harold Levine
Affiliation:
Cavendish LaboratoryCambridge*
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Abstract

The mean torque on an infinite fixed strip due to plane harmonic sound waves is calculated, employing simple acoustical theory as a basis and neglecting viscosity. In the range of wavelength λ small compared to the strip width δ, the torque per unit length is

where α denotes the angle between the incident wave normal and that of the strip and ρο the equilibrium density of the medium. This oscillatory character of the torque in its dependence on δ/λ is not to be found at long wavelengths where, as is well known, the torque acts only in the sense of aligning the strip broadside to the incident wave normal.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 53 , Issue 1 , January 1957 , pp. 234 - 247
Copyright
Copyright © Cambridge Philosophical Society 1957

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References

REFERENCES

(1)Fox, E. N.Phil. Trans. A, 241 (1949), 71.Google Scholar
(2)Jones, D. S.Proc. Camb. Phil. Soc. 48 (1952), 118.CrossRefGoogle Scholar
(3)Kawai, N.Sci. Rep. Tôhoku Univ. 34 (1951), 210.Google Scholar
(4)King, L. V.Proc. Roy. Soc. A, 153 (1935), 17.Google Scholar
(5)Kotani, M.Proc. Phys.-Math. Soc. Japan, 15 (1933), 30.Google Scholar
(6)Lamb, H.Hydrodynamics, 6th ed. (Cambridge, 1932), p. 86.Google Scholar
(7)Levine, H. and Schwinger, J.Phys. Rev. 86 (1952), 224.Google Scholar
(8)Morse, P. M. and Feshbach, H.Methods of theoretical physics (McGraw-Hill, 1953).Google Scholar
(9)Schwarzschild, K.Math. Ann. 55 (1902), 181.Google Scholar