Number of modes controlling fluid flows from experimentally measurable quantities
Abstract
It is shown by means of an example (the Bénard problem) that the number of modes N which control the qualitative behavior of stationary fluid flows governed by the NavierStokes equations can be determined exactly from experimentally measurable quantities. For timedependent flows the method provides a lower bound for N.
 Publication:

Physics Letters A
 Pub Date:
 September 1981
 DOI:
 10.1016/03759601(81)902279
 Bibcode:
 1981PhLA...85...81T
 Keywords:

 Flow Measurement;
 Fluid Flow;
 Modal Response;
 NavierStokes Equation;
 Steady Flow;
 Unsteady Flow;
 Benard Cells;
 Boussinesq Approximation;
 Convective Flow;
 Flow Theory;
 Time Dependence;
 Fluid Mechanics and Heat Transfer