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Influence of large-scale free-stream turbulence on bypass transition in air and organic vapour flows
Published online by Cambridge University Press: 18 October 2024
Abstract
The free-stream turbulence (FST) induced transition in perfect and non-ideal gas zero-pressure-gradient flat-plate boundary layers is investigated by means of large-eddy simulations. The study focuses on the influence of large incoming disturbances over the laminar-to-turbulent transition, by comparing two different integral length scales 
$L_f$, which differ by a factor of seven, at different FST intensities 
$T_u$. High-subsonic dense-gas boundary layers of the organic vapour Novec649, representative of organic Rankine cycle applications, are compared with air flows at Mach numbers 0.1 and 0.9. Compressibility and non-ideal gas effects are shown to be of minor importance in comparison to the influence of the FST integral length scale 
$L_f$. An increase of the inlet turbulent intensity always promotes transition, whereas an increase of 
$L_f$ has a double effect on the transition onset. At 
$T_u=2.5\,\%$, increasing 
$L_f$ promotes the transition, while it tends to delay transition for an FST intensity of 4 %. Larger FST integral scales tend to increase the spanwise distance between laminar streaks generated in the boundary layer. Two competing transition scenarios are observed. When the incoming turbulence intensity and length scale are moderate, the classical bypass route consists in the linear non-modal growth of streaks, which then experience secondary instabilities (sinuous or varicose) and lead to the generation of turbulent spots. The second scenario is characterized by the appearance of 
$\Lambda$-shaped structures near the inlet, which are further stretched to hairpin vortices before breaking down to turbulence. Spot inceptions can therefore occur at earlier locations than the streak growth. We are then faced with a competition between the classical bypass transition and nonlinear response mechanisms that ‘bypass’ this route. The present case at high 
$L_f$ and low 
$T_u$ is an example of a competing scenario, but even for the higher 
$T_u$ and 
$L_f$ conditions, only approximately one-third of turbulent spots are due to the 
$\Lambda$-shaped events. The nonlinear alternative route has strong similarities with scenarios described previously in the literature in the presence of leading edge effects or due to passing wakes. Such a path is governed by the turbulence intensity, but also by the integral length scale, with both parameters playing a critical role in the generation of the 
$\Lambda$-shaped structures near the inlet. This alternative mechanism is found to be robust under varying flow and thermodynamic conditions.
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Bienner et al. supplementary movie 1
Instantaneous streamwise velocity fluctuations in a wall-parallel plane at y/δ*in = 3.1 in the low Lf case at Tu=4% in Novec649 at M=0.9, with u′/U∞ plotted between -0.2 (black) and 0.2 (white).
File
126.7 MB
Bienner et al. supplementary movie 2
Instantaneous streamwise velocity fluctuations in a wall-parallel plane at y/δ*in = 3.1 in the high Lf case at Tu=4% in Novec649 at M=0.9, with u′/U∞ plotted between -0.2 (black) and 0.2 (white).
File
239.5 MB
Bienner et al. supplementary movie 3
Instantaneous streamwise velocity fluctuations in a wall-parallel plane at y/δ*in = 3.1 in the high Lf case at Tu=2.5% in Novec649 at M=0.9, with u′/U∞ plotted between -0.2 (black) and 0.2 (white).
File
158.8 MB
Bienner et al. supplementary movie 4
Instantaneous streamwise velocity fluctuations in a wall-parallel plane at y/δ*in = 3.1 in the low Lf case at Tu=6.6% in Novec649 at M=0.9, with u′/U∞ plotted between -0.2 (black) and 0.2 (white).
File
181 MB
Bienner et al. supplementary movie 5
Instantaneous streamwise velocity fluctuations in a wall-parallel plane at y/δ*in = 3.1 in the high Lf case at Tu=4% in Air at M=0.1, with u′/U∞ plotted between -0.2 (black) and 0.2 (white).
File
150.9 MB
Bienner et al. supplementary movie 6
Instantaneous streamwise velocity fluctuations in a wall-parallel plane at y/δ*in = 3.1 in the high Lf case at Tu=4% in Air at M=0.9, with u′/U∞ plotted between -0.2 (black) and 0.2 (white).
File
162.5 MB