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

TL;DR

This paper introduces a novel fluid dynamical model that couples heat and predicts interior separation phenomena, aiding in forecasting tornadoes and hurricanes based on initial conditions.

Contribution

A new heat-coupled fluid dynamical model based on Boussinesq equations and an interior separation theorem is developed, providing conditions for predicting severe weather events.

Findings

Derived conditions for interior separation based on initial data

Applied the model to predict tornado and hurricane formation

Extended the interior separation theorem to heat-coupled fluid flows

Abstract

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.