A Modified One-Equation Turbulence Model Based on Turbulent Kinetic Energy Equation

2016 ◽  
Author(s):  
Mizanur M. Rahman ◽  
Ramesh K. Agarwal ◽  
Timo Siikonen
Keyword(s):  
Kinetic Energy ◽  
Turbulent Kinetic Energy ◽  
Turbulence Model ◽  
Energy Equation ◽  
Model Based ◽  
Turbulent Kinetic Energy Equation

Scaling the Turbulent Kinetic Energy Equation

2015 ◽  
pp. 239-242
Author(s):  
Jordi Vila-Guerau de Arellano ◽  
Chiel C. van Heerwaarden ◽  
Bart J. H. van Stratum ◽  
Kees van den Dries
Keyword(s):  
Kinetic Energy ◽  
Turbulent Kinetic Energy ◽  
Energy Equation ◽  
Turbulent Kinetic Energy Equation

scholarly journals Scaling and modelling of turbulence in variable property channel flows

2017 ◽  
Vol 823 ◽  
Author(s):  
Rene Pecnik ◽  
Ashish Patel
Keyword(s):  
Mach Number ◽  
Kinetic Energy ◽  
Turbulent Kinetic Energy ◽  
Energy Equation ◽  
Stokes Equations ◽  
Channel Flows ◽  
Alternative Formulation ◽  
Variable Property ◽  
Budget Analysis ◽  
Turbulent Kinetic Energy Equation

We derive an alternative formulation of the turbulent kinetic energy equation for flows with strong near-wall density and viscosity gradients. The derivation is based on a scaling transformation of the Navier–Stokes equations using semi-local quantities. A budget analysis of the semi-locally scaled turbulent kinetic energy equation shows that, for several variable property low-Mach-number channel flows, the ‘leading-order effect’ of variable density and viscosity on turbulence in wall bounded flows can effectively be characterized by the semi-local Reynolds number. Moreover, if a turbulence model is solved in its semi-locally scaled form, we show that an excellent agreement with direct numerical simulations is obtained for both low- and high-Mach-number flows, where conventional modelling approaches fail.

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