Accession Number : AD0783546

Title :   Nonlinear Propagation of Wave-Packets on Fluid Interfaces.

Descriptive Note : Research rept. May-Jul 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 two-dimensional wave-packets on the interface of two semi-infinite, 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