Convection of viscous fluids: Energetics, selfsimilarity, experiments, geophysical applications and analogies
Abstract
The main results were the formulas for the mean convection velocities, of a viscous fluid and for the mean temperature difference in the bulk of the convecting fluid. These were obtained: by scaling analysis of the Boussinesq equations, by analysis of the energetics of the process, and by using similarity and dimensional arguments. The last approach defines the criteria of similarity and allows the proposition of some selfsimilarity hypotheses. By several simple new ways, an expression for the efficiency coefficient gamma of the thermal convection was also obtained. An analogy is pointed out between nonturbulent convection of a viscous fluid and the structure of turbulence for scales less than Kolmogorov's internal viscous microscale of turbulence.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 September 1977
 Bibcode:
 1977STIN...7732428G
 Keywords:

 Free Convection;
 Geophysics;
 Viscous Flow;
 Heat Flux;
 Kinetic Energy;
 Turbulent Flow;
 Fluid Mechanics and Heat Transfer