Energy integral equation for premixed flame-wall interaction in turbulent boundary layers and its application to turbulent burning velocity and wall flux evaluations

A Method for Estimating Wall Friction in Turbulent Boundary Layers

We describe a simple method for estimating wall friction which uses the fit of velocity data to the boundary layer profile in wall units all the way from the wall to the end of the log region. Two different models for the boundary layer profile are examined, the power-series interpolation scheme of Spalding and the Musker profile which is based on the eddy viscosity concept. The accuracy of the...

A Wall Law for Two-Phase Turbulent Boundary Layers

Abstract—The presence of bubbles in the boundary layer introduces corrections into the log law, which must be taken into account. In this work, a logarithmic wall law was presented for bubbly two phase flows. The wall law presented in this work was based on the postulation of additional turbulent viscosity associated with bubble wakes in the boundary layer. The presented wall law contained empi...

Near-wall cycle amplitude modulation in turbulent boundary layers

A non-linear influence of the large-scale log-region motions onto the small-scale near-wall cycle is found to exist in the buffer and log-region of turbulent boundary layers. Based on recent observations of Hutchins & Marusic (2007b) in high Reynolds number turbulent boundary layers, a novel procedure is developed to evaluate the modulation effect. This is done using tools based on Hilbert tran...

Wall-pressure Fluctuations and Pressure-velocity Correlations in Turbulent Boundary Layers

Rough-wall turbulent boundary layers with constant skin friction

A semi-empirical model is presented that describes the development of a fully developed turbulent boundary layer in the presence of surface roughness with length scale ks that varies with streamwise distance x. Interest is centred on flows for which all terms of the von Kármán integral relation, including the ratio of outer velocity to friction velocity U+ ∞ ≡ U∞/uτ , are streamwise constant. F...