Asymptotic behavior of freeboundary axisymmetric fluid flows with vanishing viscosity
Abstract
Asymptotic expansions of the solution to the nonlinear axisymmetric problem concerning waves at the surface of a viscous incompressible fluid of finite depth are constructed in the case of large Reynolds numbers. It is assumed that the shearing stresses at the free surface are of the order of 0(1/Re) and that the dominant terms of asymptotic behavior satisfy linear equations in partial derivatives. The obtained result is transposed to the case where the fluid fills a limited region whose boundary is a free surface. Several examples are considered.
 Publication:

PMTF Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki
 Pub Date:
 June 1975
 Bibcode:
 1975PMTF.......101B
 Keywords:

 Axisymmetric Flow;
 Fluid Boundaries;
 Free Boundaries;
 Surface Waves;
 Viscous Flow;
 Asymptotic Methods;
 Incompressible Fluids;
 NavierStokes Equation;
 Reynolds Number;
 Shear Stress;
 Fluid Mechanics and Heat Transfer