Numerical simulation of boundary layers. Part 3: Turbulence and relaminarization in sink flows
Abstract
Direct numerical simulations of sinkflow boundary layers, with acceleration parameters K between 1.5 and 3.0 x 10 to the 6 power, are presented. The threedimensional, timedependent NavierStokes equations are solved numerically using a spectral method, with about 10 to the 6 degrees of freedom. The flow is assumed to be statistically steady, and selfsimilar. A multiplescale approximation and periodic conditions are applied to the fluctuations. The turbulence is studied using instantaneous and statistical results. Good agreement with the experiments of Jones and Launder is observed. Two effects of the favorable pressure gradient are to extend the logarithmic layer, and to alter the energy balance of the turbulence near the edge of the boundary layer. At very low Reynolds number the logarithmic layer is shortened and slightly displaced, but walllayer streaks are present even at the lowest values of the Reynolds number for which turbulence can be sustained. Large quiescent patches appear in the flow. Relaminarization occurs at K = 3.0 x 10 to the 6 power, corresponding to a Reynolds number, based on momentum thickness, of about 330.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 February 1986
 Bibcode:
 1986STIN...8814283S
 Keywords:

 Boundary Layers;
 Laminar Flow;
 Numerical Analysis;
 Simulation;
 Dimensions;
 Logarithms;
 Mathematical Models;
 NavierStokes Equation;
 Pressure Gradients;
 Reynolds Number;
 Spectral Methods;
 Time Dependence;
 Transition;
 Turbulence;
 Fluid Mechanics and Heat Transfer