The influence of near-wall density and viscosity gradients on turbulence in channel flows

作者: Ashish Patel , Bendiks J. Boersma , Rene Pecnik

DOI: 10.1017/JFM.2016.689

关键词:

摘要: The influence of near-wall density and viscosity gradients on turbulence in a channel are studied by means Direct Numerical Simulation (DNS) the low-Mach number approximation Navier--Stokes equations. Different constitutive relations for as function temperature used order to mimic wide range fluid behaviours develop generalised framework studying modulations variable property flows. Instead scaling velocity solely based local density, done van Driest transformation, we derive an extension that is semi-local Reynolds $Re_\tau^*$. This transformation able collapse profiles flows with wall coordinate. However, flow quantities like mixing length, anisotropy turbulent vorticity fluctuations do not show universal very close wall. attributed modulations, which play crucial role evolution structures energy transfer. We therefore investigate characteristics streamwise streaks quasi-streamwise vortices found that, similar statistics, also strongly governed $Re_\tau^*$ their dependence individual minor. Flows ($d {Re_\tau^*}/dy \neq 0$) showed significant changes inclination tilting angles vortices. These structural responsible observed modulation stress generation mechanism inter-component transfer strong gradients.

参考文章(59)
J. Jeong, F. Hussain, W. Schoppa, J. Kim, Coherent structures near the wall in a turbulent channel flow Journal of Fluid Mechanics. ,vol. 332, pp. 185- 214 ,(1997) , 10.1017/S0022112096003965
P. G. Huang, G. N. Coleman, Van Driest transformation and compressible wall-bounded flows AIAA Journal. ,vol. 32, pp. 2110- 2113 ,(1994) , 10.2514/3.12259
Ashish Patel, Jurriaan W. R. Peeters, Bendiks J. Boersma, Rene Pecnik, Semi-local scaling and turbulence modulation in variable property turbulent channel flows Physics of Fluids. ,vol. 27, pp. 095101- ,(2015) , 10.1063/1.4929813
L. DUAN, I. BEEKMAN, M. P. MARTÍN, Direct numerical simulation of hypersonic turbulent boundary layers. Part 3. Effect of Mach number Journal of Fluid Mechanics. ,vol. 672, pp. 245- 267 ,(2011) , 10.1017/S0022112010005902
Eric F. Spina, Alexander J. Smits, Organized structures in a compressible, turbulent boundary layer. Journal of Fluid Mechanics. ,vol. 182, pp. 85- 109 ,(1987) , 10.1017/S0022112087002258
ANDFREW MAJDA, JAMES SETHIAN, THE DERIVATION AND NUMERICAL SOLUTION OF THE EQUATIONS FOR ZERO MACH NUMBER COMBUSTION Combustion Science and Technology. ,vol. 42, pp. 185- 205 ,(1985) , 10.1080/00102208508960376
Y. MORINISHI, S. TAMANO, K. NAKABAYASHI, Direct numerical simulation of compressible turbulent channel flow between adiabatic and isothermal walls Journal of Fluid Mechanics. ,vol. 502, pp. 273- 308 ,(2004) , 10.1017/S0022112003007705
Matteo Bernardini, Sergio Pirozzoli, None, Wall pressure fluctuations beneath supersonic turbulent boundary layers Physics of Fluids. ,vol. 23, pp. 085102- ,(2011) , 10.1063/1.3622773
L. DUAN, I. BEEKMAN, M. P. MARTÍN, Direct numerical simulation of hypersonic turbulent boundary layers. Part 2. Effect of wall temperature Journal of Fluid Mechanics. ,vol. 655, pp. 419- 445 ,(2010) , 10.1017/S0022112010000959
J. C. Klewicki, M. M. Metzger, E. Kelner, E. M. Thurlow, Viscous sublayer flow visualizations at Rθ≂1 500 000 Physics of Fluids. ,vol. 7, pp. 857- 863 ,(1995) , 10.1063/1.868763