Mixed thermal convection: fundamental issues and analysis of the planar case

An Acad Bras Cienc. 2015 Sep;87(3):1865-85. doi: 10.1590/0001-3765201520140254. Epub 2015 Aug 25.

Abstract

This paper aims to renew interest on mixed thermal convection research and to emphasize three issues that arise from the present analysis: (i) a clear definition of the reference temperature in the Boussinesq approximation; (ii) a practical delimitation of the three convective modes, which are the forced convection (FC), mixed convection (MC) and natural (or free) convection (NC); (iii) and, finally, a uniform description of the set FC/MC/NC in the similarity framework. The planar case, for which analytical solutions are available, allows a detailed illustration of the answers here advanced to the above issues.