Artículo de revista
Harmonic solutions for polygonal hydraulic jumps in thin fluid films
Fecha
2015Registro en:
Journal of Fluid Mechanics Volumen: 780 Páginas: 99-119 oct- 2015
DOI: 10.1371/journal.pone.0136620
Autor
Rojas, N.
Tirapegui Zurbano, Enrique
Institución
Resumen
This article contains numerical and theoretical results on the circular and polygonal hydraulic jumps
in the framework of inertial lubrication theory. The free surface and velocity fields are computed
along with cross-sections of the vorticity and pressure, in agreement with experimental data. The
forces that drive and resist the instability are identified with the radial shear force, the azimuthal
surface tension and the hydrostatic azimuthal force, in addition to a nonlinear term in the radial
coordinate. Periodic solutions are obtained from the first orders of a perturbation theory by
considering azimuthal symmetries. The thresholds of the instability are defined at closed jumps for
discontinuous solutions and at one-sided hydraulic jumps for continuous curves that conserve fluid
mass density.