**12. Conclusions**

Among all the results it was clearly seen the power and the preponderance of the viscosity in the evolution of cavity flows, how it affects the dynamics of vortices, transient or evolution of the flow and the accumulation or dissipation of energy. Was also observed the periodicity of steady-state flow for both cavities being the first to show a complete cycle of periodicity in the deep one. In conjunction with the above the feeding channels definition were proposed which were key to understanding the transient flow. It was also proposed a transient "Bifurcation" since they vary dramatically as the number of Re is increased. This "Bifurcation" is mainly due to viscosity.

As for deep cavities in addition to finding the periodicity of the flow for Re 8.000 it was presented an interesting phenomenon observed in Sec.5.1.2 where a *quasi cavity* is created that replicates cavity flow transients that occur before reaching steady state in a square cavity. Finally, the numerical method implemented, based on the equations presented in (Chen, 2009; Chen et al., 2008), was a great help for the simplicity of its programming and its primitive variable, vorticity, was central in the study.
