Application of modified log-wake law in nonzero-pressure- gradient turbulent boundary layers

Abstract

The modified log-wake law (MLWL) was applied to simulate velocity distribution of nonzero-pressure-gradient flat plate turbulent boundary layers. An additive term which reflects the effects of the pressure gradient on velocity distribution was introduced into the MLWL. The comparison of the MLWL with experimental data shows this law is capable not only to simulate the velocity profiles but also to predict the skin friction factors of flat plate turbulent boundary layers. On the other hand, numerical experiments of decelerating wide open-channel flows were conducted to identify the MLWL and illustrate the application of the MLWL in hydraulic engineering. The MLWL agrees with the numerical experimental data excellently and can reflect the velocity dip phenomenon well. The new relationship of with for flat plat boundary layers and for wide open-channel flows was carried out in this thesis, respectively.