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The Quarterly Journal of Mechanics and Applied Mathematics 1953 6(3):286-289; doi:10.1093/qjmam/6.3.286
© 1953 by Oxford University Press
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VIRTUAL MOMENTUM AND SLENDER BODY THEORY

JOHN W. MILES {dagger}

( Department of Engineering, University of California Los Angeles )

Munk's virtual momentum approach to the calculation of the transverse forces acting on slender pointed bodies is reconciled with the more rigorous analysis of Ward (as extended to unsteady flow) by comparing the dipole fields at infinity, using a method of solution due originally to Rayleigh. The virtual momentum of a given cross-section is exhibited in terms of the parameters associated with the mapping of this section on a circle.


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