Dependence of effective slip on wall roughness in dilute polymer solutions

A hypothesis is made for the modification of a complete turbulence model to take account of a dilute polymer concentration. The equations are integrated in the wall layer and give the effective slip u*DeltaB as functions of wall roughness and empirical polymer properties, where u* is the friction velocity and DeltaB is the change of the constant in the logarithmic law of the wall. Results in qualitative agreement with experiment are found