论文标题
关于Oberbeck-Boussinesq近似的使用和滥用
On the use and misuse of the Oberbeck-Boussinesq approximation
论文作者
论文摘要
Oberbeck-Boussinesq近似是用于研究自然或混合对流流量最广泛的理论方案。但是，对这个近似框架的误解可能会导致悖论的出现或至少结论不正确。在本说明中，简要召回了Oberbeck-Boussinesq近似的基本特征，并提供了三个简单的示例，其中可能会滥用这种理论方案。这种近似值的滥用导致了错误的结论，在本说明中提出的示例中，违反了群众保护原则。关于Oberbeck-Boussinesq近似值作为作为通过允许热膨胀系数和参考温度差的乘积获得的渐近理论的讨论也趋于零。
The Oberbeck-Boussinesq approximation is the most widely employed theoretical scheme for the study of natural or mixed convection flows. However, the misunderstanding of this approximated framework is a possibility that may cause the emergence of paradoxes or, at least, incorrect conclusions. In this note, the basic features of the Oberbeck-Boussinesq approximation are briefly recalled and three simple examples where this theoretical scheme may be misused are provided. Such misuses of the approximation lead to erroneous conclusions that, in the examples presented in this note, entail violations of the principle of mass conservation. A discussion about the Oberbeck-Boussinesq approximation as an asymptotic theory obtained by letting the product of the thermal expansion coefficient and the reference temperature difference tend to zero is also presented.
