A note on ciliated plane channel flow with a pressure gradient

1993 ◽  
Vol 257 (-1) ◽  
pp. 97 ◽  
Author(s):  
Niels Finderup Nielsen ◽  
Poul S. Larsen
Keyword(s):  
Pressure Gradient ◽  
Channel Flow ◽  
Plane Channel ◽  
Plane Channel Flow

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.

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
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