Abstract
In the present study the effect of the surface to surface radiation on the turbulent convection of air (Prandtl number Pr = 0.7) in a rectangular Rayleigh-Bénard cell is analysed by means of direct numerical simulations. In order to investigate the influence of the radiative boundary conditions on the temperature distribution, heat transfer and the flow intensity, a horizontal, poorly conducting walls with finite thickness are employed. Additionally, the influence of the radiative parameters is shown for Rayleigh number Ra = 6.3×107. We notice that the temperature at the warm interface decreases and it increases at the cold interface. Thus, the lower temperature difference appears what reduces the flow intensity. We observe that radiation causes a drop of convective heat flux however, the overall heat transfer increases due to high radiative heat flux. All the effects of radiation are stronger for higher conduction-radiation numbers and for higher temperature ratios.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Akiyama, M., Chong, Q.P.: Numerical analysis of natural convection with surface radiation in a square enclosure. Numerical Heat Transfer, Part A: Applications 32(4), 419–433 (1997)
Balaji, C., Venkateshan, S.P.: Interaction of surface radiation with free convection in a square cavity. Int. J. Heat Fluid Flow 14(3), 260–267 (1993)
Brown, E., Nikolaenko, A., Funfschilling, D., Ahlers, G.: Heat transport in turbulent Rayleigh-Bénard convection: Effect of finite top- and bottom-plate conductivity. Phys. Fluids 17, 075108 (2005)
Incropera, F.P., DeWitt, D.P., Bergman, T.L., Lavine, A.S.: Fundamentals of Heat and Mass Transfer, 6th edn. (2006)
Johnston, H., Doering, C.R.: Comparison of Thermal Convection between Conditions of Constant Temperature and Constant Flux. PRL 102, 064501 (2009)
Lienhard V, J.H.: Thermal radiation in Rayleigh-Bénard instability. Journal of Heat Transfer 112(1), 100–110 (1990)
Schumann, U., Grötzbach, G., Kleiser, L.: Direct numerical simulations of turbulence. In: Prediction Methods for Turbulent Flows Number. VKI-lecture series, vol. 2, Von Kármán Institute for Fluid Dynamics (1979)
Shishkina, O., Wagner, C.: Boundary and interior layers in turbulent thermal convection in cylindrical containers. Int. J. Sci. Comp. Math. 1(2/3/4), 360–373 (2007)
Shishkina, O., Stevens, R.J.A.M., Grossmann, S., Lohse, D.: Boundary layer structure in turbulent thermal convection and its consequences for the required numerical resolution. New J. Phys. 12, 075022 (2010)
Verzicco, R., Sreenivasan, K.R.: A comparison of turbulent thermal convection between conditions of constant temperature and constant heat flux. J. Fluid Mech. 595, 203–219 (2008)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Czarnota, T., Wagner, C. (2014). Direct Numerical Simulations of Turbulent Convection and Thermal Radiation in a Rayleigh-Bénard Cell with Solid Plates. In: Deville, M., Estivalezes, JL., Gleize, V., Lê, TH., Terracol, M., Vincent, S. (eds) Turbulence and Interactions. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 125. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43489-5_5
Download citation
DOI: https://doi.org/10.1007/978-3-662-43489-5_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-43488-8
Online ISBN: 978-3-662-43489-5
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)