Scaling of high Reynolds number weakly separated channel flows
Abstract
It is shown analytically and verified numerically that weakly separated laminar twodimensional incompressible channel flows can display a selfsimilar solution. The numerical method used is the split NOS method, one of a class of semidirect methods which are very efficient for steadystate and slowlytimevarying solutions. Finemesh solutions and Richardson extrapolation are used to achieve truncation error convergence. It is found that, if the channel length is increased proportional to the Reynolds number, the solutions become selfsimilar in the scaled longitudinal variable. This scaling behavior has implications for the interpretation of accuracy limits on high Reynolds number NavierStokes calculations.
 Publication:

Symposium on Numerical and Physical Aspects of Aerodynamic Flows
 Pub Date:
 1981
 Bibcode:
 1981snpa.proc.....R
 Keywords:

 Channel Flow;
 Computational Fluid Dynamics;
 Laminar Flow;
 Reynolds Number;
 Scale Effect;
 Separated Flow;
 Boundary Value Problems;
 Coordinate Transformations;
 Flow Velocity;
 Incompressible Flow;
 Iterative Solution;
 NavierStokes Equation;
 Richardson Number;
 Truncation Errors;
 Two Dimensional Flow;
 Vortices;
 Fluid Mechanics and Heat Transfer