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Unifying constitutive law of vibroconvective turbulence in microgravity
Published online by Cambridge University Press: 16 May 2024
Abstract
We report the unified constitutive law of vibroconvective turbulence in microgravity, i.e. 
$Nu \sim a^{-1} Re_{os}^\beta$ where the Nusselt number 
$Nu$ measures the global heat transport, 
$a$ is the dimensionless vibration amplitude, 
$Re_{os}$ is the oscillational Reynolds number and 
$\beta$ is the universal exponent. We find that the dynamics of boundary layers plays an essential role in vibroconvective heat transport and the 
$Nu$-scaling exponent 
$\beta$ is determined by the competition between the thermal boundary layer (TBL) and vibration-induced oscillating boundary layer (OBL). Then a physical model is proposed to explain the change of scaling exponent from 
$\beta =2$ in the TBL-dominant regime to 
$\beta = 4/3$ in the OBL-dominant regime. Our finding elucidates the emergence of universal constitutive laws in vibroconvective turbulence, and opens up a new avenue for generating a controllable effective heat transport under microgravity or even microfluidic environment in which the gravity effect is nearly absent.
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Huang et al. supplementary movie 1
Instantaneous flow structures visualized by volume rendering of temperature anomaly in three-dimensional microgravity vibroconvection at ω = 105, a = 10-2 and Pr=4.38, corresponding to figure 1(a) left. The time is scaled by the vibration period.
File
7.2 MB
Huang et al. supplementary movie 2
Instantaneous flow structures visualized by volume rendering of temperature anomaly in three-dimensional microgravity vibroconvection at ω = 106, a = 10-2 and Pr=4.38, corresponding to figure 1(a) middle. The time is scaled by the vibration period.
File
4 MB
Huang et al. supplementary movie 3
Instantaneous flow structures visualized by volume rendering of temperature anomaly in three-dimensional microgravity vibroconvection at ω = 107, a = 10-2 and Pr=4.38, corresponding to figure 1(a) right. The time is scaled by the vibration period.
File
5.3 MB