Wall-normal Rotating channel flow: Direct Numerical Simulation, Modeling and Lie Group Analysis
Final Report Abstract
Rotating channel flows are of great importance in many engineering applications. In these flows the structure of turbulence and mechanism of momentum transport are highly affected by additional body forces, namely, Coriolis and centrifugal forces. Turbulent channel flows with the streamwise and the spanwise rotations had been extensively studied by many authors [1], [2] and [3]. However, the turbulent channel flows with the wall-normal rotation which can be regarded as a generic case to study the Ekman type boundary layers, had been rarely investigated. Since there is no possible experimental approach to the investigation of these flows, direct numerical simulation (DNS) is the only available method to examine them. In this work the pressure driven turbulent channel flow, rotating about wall-normal axis, was explored using numerical and analytical approaches. In the proposal the following objectives were set: • Performing direct numerical simulations at different rotation rates for different Reynolds numbers • Using the Lie symmetry approach to find some invariant solutions. • Modeling the turbulent channel flow with wall normal rotation. During the founding period all of tasks have been performed and the results will be presented in the following.
Publications
- Direct numerical simulation, Lie Group Analysis and Modeling of a turbulent channel flow with wall-normal roation. Dissertation
Mehdizadeh, A.
