
Accession Number : AD0783546
Title : Nonlinear Propagation of WavePackets on Fluid Interfaces.
Descriptive Note : Research rept. MayJul 74,
Corporate Author : VIRGINIA POLYTECHNIC INST AND STATE UNIV BLACKSBURG DEPT OF ENGINEERING SCIENCE AND MECHANICS
Personal Author(s) : Nayfeh,Ali Hasan
Report Date : JUL 1974
Pagination or Media Count : 25
Abstract : The method of multiple scales is used to derive a nonlinear partial differential equation which describes the evolution of twodimensional wavepackets on the interface of two semiinfinite, incompressible, inviscid fluids of arbitrary densities, taking into account the effect of the surface tension, this equation is used to show that the stability of uniform wavetrains depends on the wavelength, the surface tension, and the density ratio. The results show that gravity waves are unstable for all density ratios except unity, while capillary waves are stable unless the density ratio is below approximately 0.1716. Moreover, the presence of surface tension results in the stabilization of some waves which are otherwise unstable. (Author)
Descriptors : *TWO DIMENSIONAL FLOW, *INCOMPRESSIBLE FLOW, INVISCID FLOW, PARTIAL DIFFERENTIAL EQUATIONS, NONLINEAR DIFFERENTIAL EQUATIONS, GRAVITY WAVES, DISPERSION RELATIONS, NUMERICAL INTEGRATION
Subject Categories : Numerical Mathematics
Fluid Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE