Mathematical Model of Stability Analysis of a Disturbs System (2)

A model for thermal convection loop is considered, and the basic governing differential equations are introduced with heat transfer by conduction, convection, and radiation. Study state solutions are obtained. The stability of this model has been investigation. The differential equations governing such a stability problem are introduced, and then have been solved for fixed amplitude. It has been shown that smaller value for viscosity coefficient and thermal conductivity coefficient and larger values for thermal expansion coefficient can reduce system stability, heat transfer by radiation increase effect of thermal diffusivity coefficient to reduce system stability