Accession Number : ADA139266

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

Descriptive Note : Technical summary rept.,


Personal Author(s) : Vanden-Broeck,J M

PDF Url : ADA139266

Report Date : Jan 1984

Pagination or Media Count : 21

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 Garabedin's findings. There exists a unique solution for each value of the Froude number F=U/(gh)1/2 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)

Descriptors :   *Computations, *Two dimensional flow, *Bubbles, *Incompressible flow, *Jet flow, Inviscid flow, Tubes, Nozzles, Gravity, Graphs, Problem solving

Subject Categories : Numerical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE