Three-dimensional periodic flows of an inhomogeneous fluid in the case of oscillations of part of an inclined plane

Near-field internal wave beams in two dimensions

“…Molecular diffusivity is a common occurrence in stratified fluids at laboratory scale, and has been taken into account by Kistovich & Chashechkin (1995) for the reflection of a two-dimensional wave beam at an inclined plane, Bardakov etal. (2007) and Davis & Llewellyn Smith (2010) for the emission of waves by an oscillating disc and Vasil'ev & Chashechkin (2012) for the emission by an oscillating plate. In astrophysical conditions magnetic and thermal diffusivities may also play a role, investigated for oscillating discs by Tilgner (2000) and Le Dizès (2015), respectively.…”

“…By contrast, for thin forcing, the evolution of the waves is set by the distance normal to the forcing. This can be seen in the inviscid calculations of Oser (1957), Reynolds (1962), Martin & Llewellyn Smith (2011, 2012 b ) and Davis (2012) for a horizontal disc, Hurley (1969) for an inclined plate and Llewellyn Smith & Young (2003) for a vertical plate, or in the viscous calculations of Kistovich & Chashechkin (1999 a , b ) for a two-dimensional inclined plate, Vasil'ev & Chashechkin (2003, 2006 a , b , 2012) for a three-dimensional inclined plate, Tilgner (2000), Bardakov, Vasil'ev & Chashechkin (2007), Davis & Llewellyn Smith (2010), Le Dizès (2015) and Le Dizès & Le Bars (2017) for a horizontal disc, Maurer etal. (2017) and Boury, Peacock & Odier (2019) for a horizontal wave generator and Beckebanze, Raja & Maas (2019) for a vertical wave generator.…”

Differential Fluid Mechanics: Instrument for Consistent Analytical and Laboratory Studies of Flows

“…Detailed calculations of wave fields, produced by the oscillating strip or disk placed on horizontal [22] and on sloping infinite plane [23], or moving part of vertical cylinder [21]) have been performed. The problem corresponds to level C in the hierarchy in Due to the non-linearity of basic equations, all flow components, that are large and small-scale components, interact between themselves and produced new wave of vortex elements of flows [12].…”