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The Theory of Aerodynamics

The Theory of Aerodynamics THE equations governing the motion of a viscous fluid were first obtained by Navier more than 100 years ago Memoire sur les Lois du Mouvement des Fluides, Mem. de l'Acad. des Sciences, vi, 389, 1822, and, in spite of their close study by Stokes, Helmholtz, Kelvin, Rayleigh, Lamb, and numerous other mathematicians of great eminence, no complete unrestricted solution for any case of practical importance has yet been discovered. As they stand, the mathematical difficulties presented by the equations have so far been found to be too formidable, and whatever progress has been achieved has been by imposing restrictions on the form of the equations, and therefore serious limitations on the nature of the fluid motion studied. It may be that the mathematical symbolism in the formulation of the problem of viscous fluid flow as usually presented is not that best adapted for its purpose, that it is not as natural a medium of expression as, for example, tensor analysis is for relativity that, in fact, the essential factors that govern the eddying, for instance, in the wake of a moving body are not presented as governing the structure of the equations. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Aircraft Engineering and Aerospace Technology Emerald Publishing

The Theory of Aerodynamics

Levy, H.
Aircraft Engineering and Aerospace Technology , Volume 1 (4): 4 – Apr 1, 1929
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Publisher
Emerald Publishing
Copyright
Copyright © Emerald Group Publishing Limited
ISSN
0002-2667
DOI
10.1108/eb029132
Publisher site
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Abstract

THE equations governing the motion of a viscous fluid were first obtained by Navier more than 100 years ago Memoire sur les Lois du Mouvement des Fluides, Mem. de l'Acad. des Sciences, vi, 389, 1822, and, in spite of their close study by Stokes, Helmholtz, Kelvin, Rayleigh, Lamb, and numerous other mathematicians of great eminence, no complete unrestricted solution for any case of practical importance has yet been discovered. As they stand, the mathematical difficulties presented by the equations have so far been found to be too formidable, and whatever progress has been achieved has been by imposing restrictions on the form of the equations, and therefore serious limitations on the nature of the fluid motion studied. It may be that the mathematical symbolism in the formulation of the problem of viscous fluid flow as usually presented is not that best adapted for its purpose, that it is not as natural a medium of expression as, for example, tensor analysis is for relativity that, in fact, the essential factors that govern the eddying, for instance, in the wake of a moving body are not presented as governing the structure of the equations.

Journal

Aircraft Engineering and Aerospace Technology – Emerald Publishing

Published: Apr 1, 1929

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