Limits of the Oberbeck-Boussinesq approximation in a tall differentially heated cavity filled with water

作者：Kizildag D; Rodriguez I; Oliva A^*; Lehmkuhl O

来源：International Journal of Heat and Mass Transfer, 2014, 68: 489-499.

DOI：10.1016/j.ijheatmasstransfer.2013.09.046

• Non-Oberbeck-Boussinesq effects
• Turbulent natural convection
• Differentially heated cavity

The present work assesses the limits of the Oberbeck-Boussinesq (OB) approximation for the resolution of turbulent fluid flow and heat transfer inside a tall differentially heated cavity of aspect ratio Gamma = 6.67 filled with water (Pr = 3.27, Ra = 2.12 x 10(11)). The cavity models the integrated solar collector-storage element installed on an advanced facade. The implications of the Oberbeck-Boussinesq approximation is submitted to investigation by means of direct numerical simulations (DNS) carried out for a wide range of temperature differences. Non-Oberbeck-Boussinesq (NOB) effects are found to be relevant, especially beyond the temperature difference of 30 degrees C, in the estimation of heat transfer, stratification, and flow configuration.

• 出版日期2014-1