Asymptotic Theory of Helical Waves on a Gaseous Jet in Rotating Viscous Fluid.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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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
- Fluid Mechanics