HEAT TRANSFER AT NATURAL CONVECTION OF VAN DER WAALS GAS

A. Avramenko, Y. Kovetska, N. P. Dmitrenko, O.I. Skitsko, L.V. Plakhotnia
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Abstract

This paper focuses on a study of natural convection in a Van der Waals gas over a vertical heated plate. An approximate analytical solution of the problem was obtained using an integral method for momentum and energy equations. A simplified form of the van der Waals equation for real gases enabled estimating the effects of the dimensionless van der Waals parameters on the normalized heat transfer coefficient. The effects of the dimensionless Waa and Wab numbers on the normalized Nusselt number in the real gas compared to the ideal gas were estimated. The analysis of the calculation results showed that, with an increase in the Waa number (which characterizes the additional pressure in the real gas), the normalized Nusselt number increases. The effect of additional volume, which  shows in an increase in the Wab number, causes a deterioration in the conditions  interaction between gas molecules and the wall. This is accompanied by a decrease in the Archimedes force and flow rate in the boundary layer, which leads to a weakening of heat transfer in comparison with an ideal gas.
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范德华气体的自然对流传热
本文着重研究了范德华气体在垂直加热板上的自然对流。利用动量和能量方程的积分方法,得到了该问题的近似解析解。实际气体范德华方程的简化形式使估计无量纲范德华参数对归一化传热系数的影响成为可能。估计了与理想气体相比,实际气体中无因次Waa数和Wab数对归一化努塞尔数的影响。对计算结果的分析表明,随着Waa数(表征实际气体中的附加压力)的增加,归一化努塞尔数增加。附加体积的影响,表现为Wab数的增加,导致气体分子与壁面相互作用条件的恶化。这伴随着阿基米德力和边界层流速的减小,导致与理想气体相比传热减弱。
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