Swirl flow in a cylindrical container: lattice Boltzmann equations and Navier-Stokes equations
M.V. Salnikov1, K.S. Kinzin1,2, V.A. Ivaschenko1, I.V. Naumov1,2, R.I. Mullyadzhanov1,2
1Kutateladze Institute of Thermophysics SB RAS, Novosibirsk, Russia
2Novosibirsk State University, Novosibirsk, Russia
Keywords: direct numerical simulation, Navier-Stokes equations, lattice Boltzmann equations, swirl flow, vortex breakdown
Abstract
The paper presents a systematic view for a swirl flow produced within a cylindrical container with fixed walls and a rotating top lid using two theoretical approaches: the lattice Boltzmann equations and Navier-Stokes equations. The flow modes for this confined liquid flow were tested as functions of two parameters: Reynolds number and the cylinder height to radius ratio. The lattice convergence of both solutions was analyzed. The simulation data exhibit compliance between these two variants and with the available experimental data, including the case of the development of recirculation flow at the cylinder axis (which corresponds to the event of vortex breakdown).
|
