
Accession Number : ADA139266
Title : Bubbles Rising in a Tube and Jets Falling from a Nozzle.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : VandenBroeck,J M
PDF Url : ADA139266
Report Date : Jan 1984
Pagination or Media Count : 21
Abstract : The shape of a twodimensional 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