A Nusselt-Reynolds, 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 heat-transfer 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