Viscous effects in tube flow initiated by an expansion wave
Abstract
An examination is made of the effect of the turbulent boundary layer on the uniformity of the flow initiated by a nonsteady expansion wave traveling in a long, constantarea tube. Closedform expressions for the flow perturbations first are obtained from the linearized equations of motion. Measured static pressure histories for both lowand hightube Mach numbers are used for comparison. Detailed discussions of the limitations of the linearized model and its extension to hightube Mach numbers are given. Agreement is shown between a modified version of the linearized model and the experimental results. A model of viscous nonsteady pipe flow is used to explain the nonlinear pressure decay observed at very large lengthtodiameter ratios.
 Publication:

AIAA Journal
 Pub Date:
 December 1977
 DOI:
 10.2514/3.7480
 Bibcode:
 1977AIAAJ..15.1763T
 Keywords:

 Gas Expansion;
 Pipe Flow;
 Traveling Waves;
 Turbulent Boundary Layer;
 Unsteady Flow;
 Viscous Flow;
 Equations Of Motion;
 Linearization;
 Mathematical Models;
 Small Perturbation Flow;
 Static Pressure;
 Fluid Mechanics and Heat Transfer