INVESTIGATION OF A THEORY FOR THE STRUCTURE OF THE VISCOUS SUBLAYER IN WALL TURBULENCE,

Based on the assumption of equilibrium of the average rate of change of the total turbulent energy, differential eigenvalue equations for the structure of finite-amplitude disturbances invariant in the streamwise direction are obtained. The minimum viscous sublayer thickness is determined using a simplified form of the equations. The minimum critical thickness non-dimensionalized by shear velocity and kinematic viscosity is found to be 4.69. The numerical results are also compared with the measurements in the sublayer by Bakewell 1966. It is suggested that the so-called energy-containing range of the spectrum may be associated with the large eddy structure. Author