This report is the summary of a literature survey and analytical study performed by the Armour Research Foundation for NEPA on the subject of the effect of turbulence promotion on forced convection heat transfer and fluid friction.

The expression for eddy diffusivity from a previous analysis was modified in order to account for the effect of kinematic viscosity in reducing the turbulence in the region close to a wall. By using the modified expression, good agreement was obtained between predicted and experimental results for heat and mass transfer at Prandtl and Schmidt numbers between 0.5 and 3000. The effects of length-to-diameter ratio and of variable viscosity were investigated for a wide range of Prandtl numbers.

A previous analysis of turbulent heat transfer and flow with variable fluid properties in smooth passages is extended to flow over a flat plate at high Mach numbers. Velocity and temperature distributions are calculated for a boundary layer in which the effects of both frictional heating and external heat transfer are appreciable. The viscosity and thermal conductivity are assumed to vary as a power of the temperature, while the Prandtl number and specific heat are taken as constant. Skin-friction and heat-transfer coefficients are calculated and compared with the incompressible values. The relation between boundary-layer thickness and distance along the plate is obtained for various Mach numbers. The analytical results are compared with representative experimental data.