A New Fluid Dynamical Model Coupling Heat with Application to Interior Separations

Based on the Boussinesq equations and the equation of state, a new fluid dynamical model coupling heat is established. Furthermore, the conditions for interior separation, which are determined by the initial conditions, are obtained. This result is derived from the new model by using the interior separation theorem which was established by T. Ma and S. Wang in \cite{TM-SW1,TM-SW3}. The most important application of this result is to predict when and where tornado and hurricane will occur.