Accession Number : ADA268932


Title :   Pinching Solutions of Slender Cylindrical Jets


Descriptive Note : Contractor rept.


Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA


Personal Author(s) : Papageorgiou, Demetrios T ; Orellana, Oscar


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a268932.pdf


Report Date : Jun 1993


Pagination or Media Count : 29


Abstract : Simplified equations for slender jets are derived for a circular jet of one fluid. flowing into an ambient second fluid, the flow being confined in a circular tank. Inviscid flows are studied which include both surface tension effects and Kelvin-Helmholtz instability. For slender jets a coupled nonlinear system of equations is found for the jet shape and the axial velocity jump across it. The equations can break down after a finite fine and similarity solutions are constructed, and studied analytically and numerically. The break- ups found pertain to the jet pinching after a finite time, without violation of the slender jet ansatz. The system is conservative and admissible singular solutions are those which conserve the total energy, mass and momentum. Such solutions are constructed analytically and numerically, and in the case of vortex sheets with no surface tension certain solutions are given in closed form.... Circular jets, Singularities, Pinching solutions


Descriptors :   *INVISCID FLOW , *JET FLOW , *PINCH EFFECT , VELOCITY , MASS , ENERGY , SHAPE , TIME , MOMENTUM , SURFACE TENSION , CIRCULAR , INSTABILITY , SURFACES , NONLINEAR SYSTEMS , TENSION , FLUIDS , EQUATIONS


Subject Categories : Fluid Mechanics


Distribution Statement : APPROVED FOR PUBLIC RELEASE