Experimental and theoretical studies of vertical annular liquid jets
Abstract
Theoretical studies are described of vertical annular jets, the conditions are determined under which vertical jets form an enclosed volume which can be used as a chemical reactor, the influence is assessed of the nozzle gap width, nozzle geometry, pressure difference across the annular jet, and Froude, Weber and Reynolds numbers on the annular jet's covergence length, and the mass absorption rate is determined by the liquid jet as a function of the aforementioned parameters and Peclet number. Both analytical and numerical solutions of the governing equations are presented, and the ranges of the parameters for which the analytical solutions are valid are determined. In addition, the numerical solution of the governing equations are compared with experimental data, and the response of the liquid curtain to fluctuations in the mass flow rate at the nozzle exit, injection pressure in the volume enclosed by the annular jet, and pressure fluctuations, is determined numerically. The collapse of annular jets due to mass absorption is also determined as a function of the Froude, Weber and Peclet numbers, solubilities of the gas in the liquid, pressure and nozzle geometry. Analytical and numerical studies on annular jets in zero gravity, and a theory of liquid membranes are also discussed.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 February 1990
 Bibcode:
 1990STIN...9121461R
 Keywords:

 Annular Nozzles;
 Cauchy Problem;
 Fluid Jets;
 Mass Flow Rate;
 Nozzle Geometry;
 Pressure Gradients;
 Chemical Reactors;
 Froude Number;
 Integral Equations;
 Partial Differential Equations;
 Particle Motion;
 Peclet Number;
 Problem Solving;
 Reynolds Number;
 Steady State;
 Fluid Mechanics and Heat Transfer