Response curves for plane Poiseuille flow
Abstract
Flow through a plane channel, in which the external force is the pressure gradient and the response function is the mass flux, is considered. The dimensionless response function relates the friction factors to the Reynolds numbers. The statistically stationary solutions of the NavierStokes equations for flow through a plane channel are studied in order to obtain the response function. The horizontal average of such solutions is found to be time independent. It is shown that this is true of the timeperiodic motion which bifurcates from laminar Poiseuille flow, and it is assumed that other solutions observed as turbulence are statistically stationary. The concept of stable turbulence is developed in order to explain the response diagram.
 Publication:

In: Advances in applied mechanics. Volume 14. (A7523241 0931) New York
 Pub Date:
 1974
 Bibcode:
 1974aam....14..241J
 Keywords:

 Branching (Physics);
 Channel Flow;
 Laminar Flow;
 Two Dimensional Flow;
 Flow Equations;
 Flow Stability;
 Functions (Mathematics);
 NavierStokes Equation;
 Parallel Flow;
 Pressure Gradients;
 Steady Flow;
 Turbulent Flow;
 Fluid Mechanics and Heat Transfer