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RECORD NUMBER: 15 OF 160

Main Title Asymptotic Theory of Helical Waves on a Gaseous Jet in a Rotating Viscous Fluid.
Author She, M. C. ;
CORP Author Wisconsin Univ., Madison. Water Resources Center.
Year Published 1971
Report Number DA-31-124-ARO(D)-462, NSF-GP-28699; OWRR-A-037-WIS; 09237,; A-037-WIS(4)
Stock Number PB-209 943
Additional Subjects ( Viscous flow ; Vortices) ; Asymptotic series ; Partial differential equations ; Tensor analysis ; Perturbation theory ; Helical waves
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NTIS  PB-209 943 Some EPA libraries have a fiche copy filed under the call number shown. 07/26/2022
Collation 27p
Abstract
A nonlinear asymptotic theory within the framework of long-wave approximation is developed for the study of helical waves on a rotating viscous fluid with a cylindrical free surface, and the mathematical model considered is relevant to problems of geophysical significance. A unified approach to the derivation of asymptotic equations is achieved, and for the sake of practical application the range of validity of each equation is clearly stated in terms of physical scales. The theory also yields asymptotically without direct computation stability region for the wave motion, hence suggests an effective method to deal with stability problems of viscous fluid flow with free surface. (Author)