The effect of Reynolds and Mach number variation in compressible isothermal channel flow is investi- gated through a series of direct numerical simulations (DNS), at bulk Mach number M b = 1.5, 3 and bulk Reynolds number up to Re b = 34000, which is sufficient to sense sizeable high-Reynolds-number effects not reached before in this type of flow. Dedicated incompressible DNS are also performed at precisely matching Reynolds number, to directly gauge the performance of compressibility transformations for the mean velocity profiles and Reynolds stresses. As in previous studies, we find inaccuracy of the classical van Driest transformation to remove effects of variable density and viscosity, especially at low Reynolds number. On the other hand, almost perfect matching of incompressible mean velocity and Reynolds stress distributions is recovered throughout the wall layer by using a recently introduced transformation (Trettel and Larsson, 2014,2016), the only remaining effect of compressibility being the increase of the streamwise turbulence intensity peak with the Mach number. Temperature/velocity relations are scrutinized, with the main finding that a recent relation by Zhang et al. (2014), which explicitly accounts for finite wall heat flux, is more accurate than the classical Walz relation. The size of the typical turbulent eddies is studied through spanwise spectral densities of the velocity field, which support validity of a scaling based on the local mean shear and the local friction velocity, with the main conclusion that the actual size of the eddies does not vary with the Mach number, at a fixed outer wall distance.

Reynolds and mach number effects in compressible turbulent channel flow / Modesti, Davide; Pirozzoli, Sergio. - In: INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW. - ISSN 0142-727X. - 59:(2016), pp. 33-49. [10.1016/j.ijheatfluidflow.2016.01.007]

Reynolds and mach number effects in compressible turbulent channel flow

MODESTI, DAVIDE
;
PIROZZOLI, Sergio
2016

Abstract

The effect of Reynolds and Mach number variation in compressible isothermal channel flow is investi- gated through a series of direct numerical simulations (DNS), at bulk Mach number M b = 1.5, 3 and bulk Reynolds number up to Re b = 34000, which is sufficient to sense sizeable high-Reynolds-number effects not reached before in this type of flow. Dedicated incompressible DNS are also performed at precisely matching Reynolds number, to directly gauge the performance of compressibility transformations for the mean velocity profiles and Reynolds stresses. As in previous studies, we find inaccuracy of the classical van Driest transformation to remove effects of variable density and viscosity, especially at low Reynolds number. On the other hand, almost perfect matching of incompressible mean velocity and Reynolds stress distributions is recovered throughout the wall layer by using a recently introduced transformation (Trettel and Larsson, 2014,2016), the only remaining effect of compressibility being the increase of the streamwise turbulence intensity peak with the Mach number. Temperature/velocity relations are scrutinized, with the main finding that a recent relation by Zhang et al. (2014), which explicitly accounts for finite wall heat flux, is more accurate than the classical Walz relation. The size of the typical turbulent eddies is studied through spanwise spectral densities of the velocity field, which support validity of a scaling based on the local mean shear and the local friction velocity, with the main conclusion that the actual size of the eddies does not vary with the Mach number, at a fixed outer wall distance.
2016
compressible flow; direct numerical simulation; wall turbulence; condensed matter physics; mechanical engineering; fluid flow and transfer processes
01 Pubblicazione su rivista::01a Articolo in rivista
Reynolds and mach number effects in compressible turbulent channel flow / Modesti, Davide; Pirozzoli, Sergio. - In: INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW. - ISSN 0142-727X. - 59:(2016), pp. 33-49. [10.1016/j.ijheatfluidflow.2016.01.007]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/850176
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