Wall-Effects on Pressure Fluctuations in Quasi-Incompressible and Compressible Turbulent Plane Channel Flow

2007 ◽  
Author(s):  
G.A. Gerolymos ◽  
D. Senechal ◽  
I. Vallet
Keyword(s):  
Channel Flow ◽  
Pressure Fluctuations ◽  
Plane Channel ◽  
Wall Effects ◽  
Turbulent Plane ◽  
Plane Channel Flow

Reduced-basis modeling of turbulent plane channel flow

2006 ◽  
Vol 35 (2) ◽  
pp. 189-207 ◽  
Author(s):  
P.S. Johansson ◽  
H.I. Andersson ◽  
E.M. Rønquist
Keyword(s):  
Channel Flow ◽  
Plane Channel ◽  
Reduced Basis ◽  
Turbulent Plane ◽  
Plane Channel Flow

The Destruction-of-Dissipation Tensor εεij in Wall Turbulence

2017 ◽  
Author(s):  
G. A. Gerolymos ◽  
I. Vallet
Keyword(s):  
Reynolds Number ◽  
Channel Flow ◽  
Plane Channel ◽  
Wall Turbulence ◽  
Scaling Relations ◽  
Pressure Term ◽  
Turbulent Plane ◽  
Plane Channel Flow ◽  
Production Mechanisms ◽  
Molecular Viscosity

The paper investigates the destruction-of-dissipation tensor εεij in low-Reynolds number turbulent plane channel flow. This tensor, which represents the destruction of the dissipation tensor εij (appearing in the budgets of the covariances of fluctuating velocities rij) by molecular viscosity, exhibits specific near-wall anisotropy and is not 2-C at the wall. The budgets of εεij (turbulent and viscous diffusion, pressure-term, various production mechanisms, and destruction by molecular viscosity εεεij) are studied and various scaling relations are examined.

scholarly journals Pressure, density, temperature and entropy fluctuations in compressible turbulent plane channel flow

2014 ◽  
Vol 757 ◽  
pp. 701-746 ◽  
Author(s):  
G. A. Gerolymos ◽  
I. Vallet
Keyword(s):  
Channel Flow ◽  
Plane Channel ◽  
Correlation Coefficients ◽  
Statistical Modelling ◽  
Transport Equations ◽  
Wall Turbulence ◽  
State Variables ◽  
Turbulent Plane ◽  
Thermodynamic Variables ◽  
Plane Channel Flow

AbstractWe investigate the fluctuations of thermodynamic state variables in compressible aerodynamic wall turbulence, using results of direct numerical simulation (DNS) of compressible turbulent plane channel flow. The basic transport equations governing the behaviour of thermodynamic variables (density, pressure, temperature and entropy) are reviewed and used to derive the exact transport equations for the variances and fluxes (transport by the fluctuating velocity field) of the thermodynamic fluctuations. The scaling with Reynolds and Mach number of compressible turbulent plane channel flow is discussed. Statistics and correlation coefficients of the thermodynamic fluctuations are examined. Finally, detailed budgets of the transport equations for the variances and fluxes of the thermodynamic variables are analysed. The implications of these results, leading both to the understanding of the thermodynamic interactions in compressible wall turbulence and to possible improvements in statistical modelling, are assessed. Finally, the required extension of existing DNS data to fully characterise this canonical flow is discussed.

scholarly journals Wall effects on pressure fluctuations in turbulent channel flow

2013 ◽  
Vol 720 ◽  
pp. 15-65 ◽  
Author(s):  
G. A. Gerolymos ◽  
D. Sénéchal ◽  
I. Vallet
Keyword(s):  
Pressure Gradient ◽  
Channel Flow ◽  
Pressure Fluctuations ◽  
Plane Channel ◽  
Turbulent Channel Flow ◽  
Moment Closure ◽  
Pressure Diffusion ◽  
Plane Channel Flow ◽  
Velocity Pressure ◽  
W Prime

AbstractThe purpose of the present paper is to study the influence of wall echo on pressure fluctuations ${p}^{\prime } $, and on statistical correlations containing ${p}^{\prime } $, namely, redistribution ${\phi }_{ij} $, pressure diffusion ${ d}_{ij}^{(p)} $ and velocity pressure-gradient ${\Pi }_{ij} $. We extend the usual analysis of turbulent correlations containing pressure fluctuations in wall-bounded direct numerical simulations (Kim, J. Fluid Mech., vol. 205, 1989, pp. 421–451), separating ${p}^{\prime } $ not only into rapid ${ p}_{(r)}^{\prime } $ and slow ${ p}_{(s)}^{\prime } $ parts (Chou, Q. Appl. Maths, vol. 3, 1945, pp. 38–54), but also further into volume (${ p}_{(r; \mathfrak{V})}^{\prime } $ and ${ p}_{(s; \mathfrak{V})}^{\prime } $) and surface (wall echo, ${ p}_{(r; w)}^{\prime } $ and ${ p}_{(s; w)}^{\prime } $) terms. An algorithm, based on a Green’s function approach, is developed to compute the above splittings for various correlations containing pressure fluctuations (redistribution, pressure diffusion, velocity pressure-gradient), in fully developed turbulent plane channel flow. This exact analysis confirms previous results based on a method-of-images approximation (Manceau, Wang & Laurence, J. Fluid Mech., vol. 438, 2001, pp. 307–338) showing that, at the wall, ${ p}_{(\mathfrak{V})}^{\prime } $ and ${ p}_{(w)}^{\prime } $ are usually of the same sign and approximately equal. The above results are then used to study the contribution of each mechanism to the pressure correlations in low-Reynolds-number plane channel flow, and to discuss standard second-moment-closure modelling practices.

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