'Prediction of heat transfer in turbulent, transpired boundary layers using simple power law velocity and temperature profiles'

摘要

Considered here is steady, constant property, two-dimensional planar, turbulent boundary layer flow with injection or suction and pressure gradient along the surface. The velocity and thermal inner laws for transpired turbulent boundary l ayers are represented by simple ower law forms which are then sued as the approximate profiles needed to solve the integral form of the x momentum equation and the thermal energy equation. This gives two nonlinear ordinary differential equations which are solved numeerically to yield the hydroydnamic and thermal boundary layer thicknesses. Using these in the skin friction and heat transfer laws leads to the variation of Stanton number with position, x, along the surface. Predicted Stanton numbers are compared with experimental data for a number of different caes. These include both blowing and suction with constant blowing fractions, F, in zero and non-zero pressure gradients. Also presented ar comparisions to experimental data of predictions for more complicated situations in which the blowing fraction, F, varies with position, x, in a prescribed manner.