在Boussinesq近似的基础上,忽略贝纳德对流扰动方程二阶和更高阶的扰动,建立速度场和温度场的扰动方程.通过无量纲处理得到控制贝纳德对流的超越方程,利用MATLAB求解超越方程,得到实验室产生贝纳德对流的参数,为贝纳德对流实验提供参考和指导.
Disturbance equations of velocity and temperature fields are built based on Boussinesq approximation, in which second order and higher-order disturbance of Bénard convection are ignored. Transcendental equations controlling Bénard convection are obtained with non-dimensional treatment of variables. Specific parameters of Bénard convection are obtained, which provide reference and guidance for Bénard convection experiments.