A new fluid dynamical model coupling horizontal heat with an application to interior separations

Abstract Based on the Newton's second law and Boussinesq equations, a new fluid dynamical model coupling horizontal heat is established. Moreover, the sufficient conditions of interior separation for this new model are obtained. It is shown that the sufficient conditions, determined by the initial value, may provide an approach to predict when and where the interior separations occur. In addition, an example is constructed to illustrate our main results.