Fragmentation of liquid drops occurs in many processes involving convection of dispersions of liquid drops in liquid or gas carrier phases. Such fragmentation is often spatially nonhomogeneous (due, for example, to turbulence induced fragmentation). Recent work has studied a class of pipe flow problems involving convective fragmentation. In the present paper we generalize a version of the problem discussed above to allow for unsteady two-dimensional axisymmetric convective fragmentation and report a corresponding analytical solution. We connect our analytical solution to the grinding solution of Reid (1965) and demonstrate its applicability by applying it to a problem of a pulsating convective fragmentation in an unsteady axisymmetric jet, with the fragmentation characteristics being spatially dependent. © 2010 Elsevier Ltd. All rights reserved.

Mahesh V. Panchagnula

Department of Applied Mechanics

Analytical solutions

Axisymmetric

Axisymmetric jet

FLOW PROBLEMS

Fragmentation

GAS CARRIERS

Liquid drop

Non-homogeneous

Population balance models

Atomization

Drops

Multiphase flow

Liquids

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IIT Madras

Mechanics Research Communications

The characteristic features of sprays pose unique challenges to multiphase flow methods that are used to model and simulate their behavior. This article reviews the principal modeling challenges posed by sprays, and discusses the capabilities of different modeling approaches by classifying them according to the basis for their statistical representation and the level of closure. The article goes on to provide guidelines for their comparative assessment and also a perspective on the outlook for spray modeling. Multiphase flow simulation approaches that are used for spray computations are classified according to scale, accuracy, computational cost and problem complexity. The requirements of a simulation method to be successfully used for spray computation are then discussed. The review concludes with a perspective on the outlook for spray simulation methods.

Fulltext

International Journal of Spray and Combustion Dynamics

Trends in multiphase modeling and simulation of sprays

Industrial & Engineering Chemistry Research

On the Breakage of Liquid−Liquid Dispersions in Turbulent Pipe Flow: Spatial Patterns of Breakage Intensity

On Evolution of Drop-Size Distributions in Turbulent Pipe Flow Revisited

Fluids Engineering

Eulerian Multi-Fluid Model of Air Blast Atomization

Chemical Engineering Science

Solution of population balance equation with pure aggregation in a fully developed turbulent pipe flow

Evolution of Drop Size Distributions in Fully Developed Turbulent Pipe Flow of a Liquid−Liquid Dispersion by Breakage

Analytical solutions for convective fragmentation

Journal	Mechanics Research Communications
ISSN	00936413
Open Access	No