A NusseltReynolds, Prandtl relation in turbulent forced convection
Abstract
A model for the internal structure of the turbulent eddy is developed using the approach of Tennekes (1968) and used to derive analytically the Colburn analogy St (Pr exp 2/3) = 0.5 f, where St is the Stanton number, Pr is the Prandtl number, and f is the coefficient of friction. The momentum and thermal microscales are reviewed, the model of a kinetic turbulon is constructed, thermal scales of turbulence are considered, and a heattransfer relation is derived. The ratio of the Kolmogorov length microscale to the thermal or Batchelor scale is found to be Pr exp 1/3 for Pr greater than 1. The implications for currently used models of heat transfer are examined.
 Publication:

ASME and American Institute of Chemical Engineers, Heat Transfer Conference
 Pub Date:
 July 1983
 Bibcode:
 1983ceht.confQ....A
 Keywords:

 Computational Fluid Dynamics;
 Convective Flow;
 Forced Convection;
 Nusselt Number;
 Prandtl Number;
 Reynolds Number;
 Turbulent Heat Transfer;
 Coefficient Of Friction;
 Heat Transfer;
 Kolmogoroff Theory;
 Thermal Diffusion;
 Fluid Mechanics and Heat Transfer