In the analysis of very complex systems, the governing equations for the system components form a large set of simultaneous equations.
The governing equations of the raft are obtained based on the thin plate theory and the virtual work principle.
This method has less unknown functions and higher calculating precision. Moreover, the governing equations are easy to establish and solve.
The nonlinear governing equations are solved numerically by adopting a shooting method and the equilibrium paths of thermal post-buckling of the circular plates are obtained.
With similarity considerations on governing equations, the heat transfer of mixed convection can be predicted to be controlled by Archimedes number and geometric factors.
