****************************** **Turbulent Lubrication Mode** ****************************** :: Turbulent Lubrication Model = {model_name} ----------------------- **Description / Usage** ----------------------- This card activates a turbulent model for viscosity in the lub_p equation. Currently one model {model_name} is permissible: +--------------------------+-------------------------------------------------------------------------------------+ |**PRANDTL_MIXING** |This model is used to determine the pre-multiplier on the molecular viscosity in the | | |Reynolds lubrication equation. For confined, laminar flow, this multiplier is 12. For| | |turbulent flow it is taken as K(Re), where Re is the local Reynolds number. | | |Specifically, invoking a analytical approximation for K from Hirs (1973), we set k0 | | |according to the: | | | | | |Reynolds number Re= :ρh U μ | | | | | |For 0 < Re < 2000 K0=12 (Laminar case), | | | | | |Else 2000 < Re < 100000 K0 = 0.05Re 3/4 | | | | | |Here the wall velocity is used to compute The Reynolds number, as this turbulence | | |model is specific to turbulent Couette flow. | +--------------------------+-------------------------------------------------------------------------------------+ ------------ **Examples** ------------ Following is a sample card: :: Turbulent Lubrication Model = PRANDTL_MIXING ------------------------- **Technical Discussion** ------------------------- Several other models can be implemented in this instance. We chose this simple model which derives from Prandtl mixing length theory. -------------- **References** -------------- G.G. Hirs, “Bulk flow theory for turbulence in lubricant films”, Trans. ASME, ser. F, 95, pp 137-146, 1973.