Scaling properties of weakly nonlinear coefficients in the Faraday problem

Skeldon, Anne C. y Porter, Jeffrey Brent (2011). Scaling properties of weakly nonlinear coefficients in the Faraday problem. "Physical Review E", v. 84 (n. 1); p. 16209. ISSN 1539-3755. https://doi.org/10.1103/PhysRevE.84.016209.

Descripción

Título: Scaling properties of weakly nonlinear coefficients in the Faraday problem
Autor/es:
  • Skeldon, Anne C.
  • Porter, Jeffrey Brent
Tipo de Documento: Artículo
Título de Revista/Publicación: Physical Review E
Fecha: Julio 2011
Volumen: 84
Materias:
Escuela: E.T.S.I. Aeronáuticos (UPM) [antigua denominación]
Departamento: Aeronaves y Vehículos Espaciales
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

Interesting and exotic surface wave patterns have regularly been observed in the Faraday experiment. Although symmetry arguments provide a qualitative explanation for the selection of some of these patterns (e.g., superlattices), quantitative analysis is hindered by mathematical difficulties inherent in a time-dependent, free-boundary Navier-Stokes problem. More tractable low viscosity approximations are available, but these do not necessarily capture the moderate viscosity regime of the most interesting experiments. Here we focus on weakly nonlinear behavior and compare the scaling results derived from symmetry arguments in the low viscosity limit with the computed coefficients of appropriate amplitude equations using both the full Navier-Stokes equations and a reduced set of partial differential equations due to Zhang and Vinãls. We find the range of viscosities over which one can expect ?low viscosity? theories to hold. We also find that there is an optimal viscosity range for locating superlattice patterns experimentally?large enough that the region of parameters giving stable patterns is not impracticably small, yet not so large that crucial resonance effects are washed out. These results help explain some of the discrepancies between theory and experiment.

Proyectos asociados

TipoCódigoAcrónimoResponsableTítulo
Gobierno de EspañaESP2007-65221-ESin especificarSin especificarExperimentos fluidos vibrados en microgravedad
Gobierno de EspañaAYA2010-19081Sin especificarSin especificarExperimentos fluidos vibrados en microgravedad

Más información

ID de Registro: 53467
Identificador DC: http://oa.upm.es/53467/
Identificador OAI: oai:oa.upm.es:53467
Identificador DOI: 10.1103/PhysRevE.84.016209
URL Oficial: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.84.016209
Depositado por: Memoria Investigacion
Depositado el: 11 Feb 2019 11:42
Ultima Modificación: 11 Feb 2019 11:42
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