Accession Number:

ADA139266

Title:

Bubbles Rising in a Tube and Jets Falling from a Nozzle.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1984-01-01

Pagination or Media Count:

21.0

Abstract:

The shape of a two-dimensional bubble rising at a constant velocity U in a tube of width h is computed. The flow is assumed to be inviscid and incompressible. The problem is solved numerically by collocation. The results confirm Garabedins findings. There exists a unique solution for each value of the Froude number FUgh12 smaller than a critical value I sub c. Here g denotes the acceleration of gravity. It is found that I sub c 0.36. In addition the problem of a jet emerging from a vertical nozzle is considered. It is shown that the slope of the free surface at the separation points is horizontal for F F sub c and vertical for F F sub c. Graphs and tables of the results are included. Author

Subject Categories:

  • Numerical Mathematics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE