The analogy between fluid friction and heat transfer of laminar mixed convection on flat plates

This paper has examined the validity of the analogies between heat transfer and fluid friction when they are applied to laminar forced convection on a flat plate. For the case of uniform wall temperature, all the analogies are valid for Prandtl number do not differ greatly from 1, and the Colburn analogy is consistent with numerical data forPr≥1. However, the previous analogies are not valid for the case of uniform wall heat flux. For fluids ofPr≥1 under uniform heating, the Colburn analogy factor is 0.72. In addition, these analogies are not applicable to the fluids of small Prandtl number. For the sake of completeness, this work has developed the analogies between heat and momentum transfer over the range of 0.001 ≤Pr ≤ 0.1 for both the cases of constant wall temperature and heat flux.