全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

Large Eddy Simulations of Rayleigh-Bénard Convection in a Cubic Cavity

DOI: 10.4236/ojfd.2023.133013, PP. 177-190

Keywords: Large Eddy Simulation, Rayleigh-Bénard Convection, Cubic Cavity, Plume Flow

Full-Text   Cite this paper   Add to My Lib

Abstract:

This paper conducts a Large Eddy Simulation (LES) of Rayleigh Bénard convection in a cubic cavity based on the WMLES S-Omega subgrid-scale model. For a cubic cavity with a vertical temperature difference of 6.7°C and 20°C, the velocity pulsation profiles and the mean velocity profiles of the vertical section in the middle of the cubic cavity were simulated, respectively. And they are consistent with the experiment results. Furthermore, the mean velocity field of the vertical cross-section in the middle of the cavity was calculated. Structures of the mean velocity field in the two cases are similar. A counterclockwise large vortex is found to occupy the cavity, and there are two small clockwise vortices in the lower left and upper right corners, and the mean velocity fields at two different temperature differences are consistent with the experimental results. The two-dimensional instantaneous temperature field and mean temperature field with different cross-sections in the z-direction, as well as the three-dimensional instantaneous isothermal surface structure, indicate that the large-scale circulation motion within the cubic cavity is moving diagonally. In addition, the structure of the mean streamline also illustrates this viewpoint. For the reverse vortex formed at two corners in the mean streamline structure, we used the Q criterion to identify and obtain two vortex structures similar to boomerangs. The basic turbulent structure in RB thermal convection includes the rising and falling plumes generated by buoyancy effects.

References

[1]  Xie, Y.C., Zhang, L., Ding, G.Y., Chen, X., Xi, H.D. and Xia, K.Q. (2023) Progress in Turbulent Thermal Convection in the Past Decade and Outlook. Advances in Mechanics, 53, 1-47.
[2]  Di Prima, R.C. (1961) Some Variational Principles for Problems in Hydrodynamic and Hydromagnetic Stability. Quarterly of Applied Mathematics, 18, 375-385.
https://doi.org/10.1090/qam/116767
[3]  Travis, B.J. anderson, C., Baumgardner, J., Gable, C.W., Hager, B.H., O’Connell, R.J., et al. (1990) A Benchmark Comparison of Numerical Methods for Infinite Prandtl Number Thermal Convection in Two-Dimensional Cartesian Geometry. Geophysical Fluid Dynamics, 55, 137-160.
https://doi.org/10.1080/03091929008204111
[4]  Wakashima, S. and Saitoh, T.S. (2004) Benchmark Solutions for Natural Convection in a Cubic Cavity Using the High-Order Time-Space Method. International Journal of Heat and Mass Transfer, 47, 853-864.
https://doi.org/10.1016/j.ijheatmasstransfer.2003.08.008
[5]  Michalek, T., Kowalewski, T.A. and Sarler, B. (2005) Natural Convection for Anomalous Density Variation of Water: Numerical Benchmark. Progress in Computational Fluid Dynamics, 5, 158-170.
https://doi.org/10.1504/PCFD.2005.006751
[6]  Penot, F., N’Dame, A. and Le Quere, P. (1990) Investigation of the Route to Turbulence in a Differentially Heated Cavity. International Heat Transfer Conference, Jerusalem, 19-24 August1990, 417-422.
https://doi.org/10.1615/IHTC9.2410
[7]  Barannikov, V.A., Frik, P.G. and Shaidurov, V.G. (1988) Spectral Characteristics of Two-Dimensional Turbulent Convection in a Vertical Slot. Journal of Applied Mechanics and Technical Physics, 29, 196-200.
https://doi.org/10.1007/BF00908581
[8]  Betts, P.L. and Bokhari, I.H. (2000) Experiments on Turbulent Natural Convection in an Enclosed Tall Cavity. International Journal of Heat and Fluid Flow, 21, 675-683. https://doi.org/10.1016/S0142-727X(00)00033-3
[9]  Salat, J., Xin, S., Joubert, P., Sergent, A., Penot, F. and Le Quere, P. (2004) Experimental and Numerical Investigation of Turbulent Natural Convection in a Large Air-Filled Cavity. International Journal of Heat and Fluid Flow, 25, 824-832.
https://doi.org/10.1016/j.ijheatfluidflow.2004.04.003
[10]  Valencia, L., Pallares, J., Cuesta, I. and Grau, F.X. (2004) Turbulent Rayleigh-Bénard Convection of Water in Cubical Cavities: A Numerical and Experimental Study. International Journal of Heat and Mass Transfer, 50, 3203-3215.
https://doi.org/10.1016/j.ijheatmasstransfer.2007.01.013
[11]  Worner, M. and Grotzbach, G. (1998) Pressure Transport in Direct Numerical Simulations of Turbulent Natural Convection in Horizontal Fluid Layers. International Journal of Heat and Fluid Flow, 19, 150-158.
https://doi.org/10.1016/S0142-727X(97)10019-4
[12]  Bairi, A. and de María, J.M.G. (2013) Numerical and Experimental Study of Steady State Free Convection Generated by Constant Heat Flux in Tilted Hemispherical Cavities. International Journal of Heat and Mass Transfer, 66, 355-365.
https://doi.org/10.1016/j.ijheatmasstransfer.2013.07.038
[13]  Bondareva, N.S. and Sheremet, M.A. (2017) 3D Natural Convection Melting in a Cubical Cavity with a Heat Source. International Journal of Thermal Sciences, 115, 43-53.
https://doi.org/10.1016/j.ijthermalsci.2017.01.021
[14]  Wei, Y., Wang, Z., Yang, J., Dou, H.S. and Qian, Y. (2015) A Simple Lattice Boltzmann Model for Turbulence Rayleigh-Bénard Thermal Convection. Computers & Fluids, 118, 167-171.
https://doi.org/10.1016/j.compfluid.2015.06.003
[15]  Peng, S.H., Hanjalic, K. and Davidson, L. (2006) Large-Eddy Simulation and Deduced Scaling Analysis of Rayleigh-Bénard Convection up to Ra = 109. Journal of Turbulence, 7, N66.
https://doi.org/10.1080/14685240600953462
[16]  Bosshard, C., Dehbi, A., Deville, M., Leriche, E., Puragliesi, R. and Soldati, A. (2013) Large Eddy Simulation of the Differentially Heated Cubic Cavity Flow by the Spectral Element Method. Computers & Fluids, 86, 210-227.
https://doi.org/10.1016/j.compfluid.2013.07.007
[17]  Huang, X.J., Hu, Y.P. and Li, Y.R. (2019) Aspect Ratio Dependence of Rayleigh-Bénard Convection of Cold Water near Its Maximum Density in Box-Shaped Containers. Physics of Fluids, 31, Article ID: 075107.
https://doi.org/10.1063/1.5097964
[18]  Vasiliev, A., Sukhanovskii, A., Frick, P., Fomichev, V., Bolshukhin, M. and Romanov, R. (2016) High Rayleigh Number Convection in a Cubic Cell with Adiabatic Sidewalls. International Journal of Heat and Mass Transfer, 102, 201-212.
https://doi.org/10.1016/j.ijheatmasstransfer.2016.06.015
[19]  Dubief, Y. and Delcayre, F. (2000) On Coherent-Vortex Identification in Turbulence. Journal of Turbulence, 1, N11.
https://doi.org/10.1088/1468-5248/1/1/011

Full-Text

comments powered by Disqus

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133

WeChat 1538708413