scholarly journals Time evolution equation for advective heat transport as a constraint for optimal bounds in Rayleigh-Bénard convection

2019 ◽  
Vol 4 (1) ◽  
Author(s):  
A. Tilgner
Keyword(s):  
Evolution Equation ◽  
Heat Transport ◽  
Time Evolution ◽  
Bénard Convection ◽  
Benard Convection ◽  
Optimal Bounds ◽  
Rayleigh Benard Convection ◽  
Rayleigh Benard ◽  
Advective Heat Transport ◽  
Time Evolution Equation

scholarly journals Heat transport and flow structure in rotating Rayleigh–Bénard convection

2013 ◽  
Vol 40 ◽  
pp. 41-49 ◽  
Author(s):  
Richard J.A.M. Stevens ◽  
Herman J.H. Clercx ◽  
Detlef Lohse
Keyword(s):  
Heat Transport ◽  
Flow Structure ◽  
Bénard Convection ◽  
Benard Convection ◽  
Rayleigh Benard Convection ◽  
Rayleigh Benard

scholarly journals Bounds on heat transport in rapidly rotating Rayleigh–Bénard convection

Nonlinearity ◽  
2014 ◽  
Vol 28 (1) ◽  
pp. 29-41 ◽  
Author(s):  
Ian Grooms ◽  
Jared P Whitehead
Keyword(s):  
Heat Transport ◽  
Bénard Convection ◽  
Benard Convection ◽  
Rayleigh Benard Convection ◽  
Rayleigh Benard

scholarly journals Mixed insulating and conducting thermal boundary conditions in Rayleigh–Bénard convection

2017 ◽  
Vol 835 ◽  
pp. 491-511 ◽  
Author(s):  
Dennis Bakhuis ◽  
Rodolfo Ostilla-Mónico ◽  
Erwin P. van der Poel ◽  
Roberto Verzicco ◽  
Detlef Lohse
Keyword(s):  
Heat Transfer ◽  
Boundary Conditions ◽  
Heat Transport ◽  
Bottom Plate ◽  
Bulk Temperature ◽  
Stripe Pattern ◽  
Bénard Convection ◽  
Benard Convection ◽  
Rayleigh Benard Convection ◽  
Rayleigh Benard

A series of direct numerical simulations of Rayleigh–Bénard convection, the flow in a fluid layer heated from below and cooled from above, were conducted to investigate the effect of mixed insulating and conducting boundary conditions on convective flows. Rayleigh numbers between $Ra=10^{7}$ and $Ra=10^{9}$ were considered, for Prandtl numbers $\mathit{Pr}=1$ and $\mathit{Pr}=10$. The bottom plate was divided into patterns of conducting and insulating stripes. The size ratio between these stripes was fixed to unity and the total number of stripes was varied. Global quantities, such as the heat transport and average bulk temperature, and local quantities, such as the temperature just below the insulating boundary wall, were investigated. For the case with the top boundary divided into two halves, one conducting and one insulating, the heat transfer was found to be approximately two-thirds of that for the fully conducting case. Increasing the pattern frequency increased the heat transfer, which asymptotically approached the fully conducting case, even if only half of the surface is conducting. Fourier analysis of the temperature field revealed that the imprinted pattern of the plates is diffused in the thermal boundary layers, and cannot be detected in the bulk. With conducting–insulating patterns on both plates, the trends previously described were similar; however, the half-and-half division led to a heat transfer of about a half of that for the fully conducting case instead of two-thirds. The effect of the ratio of conducting and insulating areas was also analysed, and it was found that, even for systems with a top plate with only 25 % conducting surface, heat transport of 60 % of the fully conducting case can be seen. Changing the one-dimensional stripe pattern to a two-dimensional chequerboard tessellation does not result in a significantly different response of the system.

scholarly journals Enhanced Heat Transport by Turbulent Two-Phase Rayleigh-Bénard Convection

2009 ◽  
Vol 102 (12) ◽  
Author(s):  
Jin-Qiang Zhong ◽  
Denis Funfschilling ◽  
Guenter Ahlers
Keyword(s):  
Heat Transport ◽  
Two Phase ◽  
Bénard Convection ◽  
Benard Convection ◽  
Rayleigh Benard Convection ◽  
Rayleigh Benard

Effects of geometric confinement in quasi-2-D turbulent Rayleigh–Bénard convection

2016 ◽  
Vol 794 ◽  
pp. 639-654 ◽  
Author(s):  
Shi-Di Huang ◽  
Ke-Qing Xia
Keyword(s):  
Heat Transport ◽  
Large Scale ◽  
Lateral Aspect ◽  
Bénard Convection ◽  
Benard Convection ◽  
Reversal Frequency ◽  
Geometric Confinement ◽  
Large Scale Flow ◽  
Rayleigh Benard Convection ◽  
Rayleigh Benard

We report an experimental study of confinement effects in quasi-2-D turbulent Rayleigh–Bénard convection. The experiments were conducted in five rectangular cells with their height $H$ and length $L$ being the same and fixed, while the width $W$ was different for each cell to produce lateral aspect ratios (${\it\Gamma}=W/H$) of 0.6, 0.3, 0.2, 0.15 and 0.1. Direct flow field measurements reveal that the large-scale flow slows down as ${\it\Gamma}$ decreases and there are more plumes travelling through the bulk region. Moreover, the reversal frequency of the large-scale flow is found to increase drastically in smaller ${\it\Gamma}$ cells, by more than 1000-fold for the highest value of Rayleigh number reached in the experiment. The reversal frequency can be well described by a stochastic model developed by Ni et al. (J. Fluid Mech., vol. 778, 2015, R5) and the probability density functions (PDF) of the time interval between successive reversals are found to follow Poisson statistics as in the 3-D system. It is further observed that the bulk temperature fluctuation increases significantly and its PDF changes from exponential to Gaussian as ${\it\Gamma}$ decreases. The influences of geometric confinement on the global heat transport are also investigated. The measured Nu–Ra relationship suggests that, as the lateral aspect ratio decreases, the relative weight of the boundary layer contribution in the global heat transport increases compared to that from the bulk. These results demonstrate that in the quasi-2-D geometry, geometric confinement has strong effects on both the global and local properties in turbulent convective flows, which are very different from the previous findings in 3-D and true 2-D systems.

scholarly journals Crossover of the relative heat transport contributions of plume ejecting and impacting zones in turbulent Rayleigh-Bénard convection (a)

2021 ◽  
Vol 134 (3) ◽  
pp. 34002
Author(s):  
Philipp Reiter ◽  
Olga Shishkina ◽  
Detlef Lohse ◽  
Dominik Krug
Keyword(s):  
Heat Transport ◽  
Bénard Convection ◽  
Benard Convection ◽  
Rayleigh Benard Convection ◽  
Rayleigh Benard
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