TAB Droplet Breakup Model Reference

The Taylor Analogy Breakup (TAB) breakup model is an extension of the TAB distortion model which assumes that breakup occurs when the droplet distortion reaches a prescribed magnitude.

The TAB model begins with the assumption that breakup occurs when the TAB distortion, as calculated by the TAB distortion model, exceeds unity. Breakup replaces the parent particles with child particles whose diameter is chosen from a Rosin-Rammler distribution. By default, the breakup event creates no parcels—the original parcel is retained, but the particle diameter changes to the new child value. New parcels can optionally be created however, in which case the droplet diameter in each is chosen independently. This feature can be useful in modeling the generation of a distribution of droplet sizes through breakup. Parcels that are involved in a breakup event are given a lateral velocity proportional to the kinetic energy of the droplet oscillation at the instant of breakup. This velocity tends to generate a spreading effect from an injector which, to some extent, makes a cone injector unnecessary.

Despite being based on a single mode of oscillation in the vibrational regime, the TAB model reproduces the same characteristic time-scales in low and high Weber number limits as the Reitz-Diwakar model. Typically, however, the TAB model is used at low Weber numbers; hollow-cone gasoline sprays are an example of a preferred application for this model [647]. Outside its range of validity, the model tends to underpredict droplet sizes.

Theory See TAB Distortion and Breakup Model.
Provided By Lagrangian Multiphase > Lagrangian Phases > [phase] > Models > Secondary Breakup
Example Node Path Lagrangian Multiphase > Lagrangian Phases > [phase] > Models > TAB Breakup
Requires
  • Material: one of Gas, Liquid, Multiphase, Multi-Component Gas, Multi-Component Liquid
  • (For Multiphase, Multi-Component Gas or Multi-Component Liquid, further models are required to expose the Flow models.)
  • Flow: Coupled or Segregated
Under the Lagrangian Multiphase model:
  • Particle Type: Material Particles
  • Material: Liquid or Multicomponent Liquid
  • Particle Shape: Spherical Particles
Properties Key properties are: Child Parcels. See TAB Breakup Properties.
Activates Materials See TAB Breakup Material Properties.
Field Functions Droplet Dynamic Viscosity, Droplet Surface Tension, Droplet Weber Number. See TAB Breakup Field Functions.

TAB Breakup Properties

Child Parcels
Number of child parcels to create during a breakup event.
Cv
Normal velocity coefficient, see Eqn. (3113).
K
Energy ratio, see Eqn. (3112).
Rosin-Rammler Exponent
Exponent in Rosin-Rammler size distribution.
Cb
Critical distortion coefficient, see Eqn. (3110).

TAB Breakup Material Properties

Dynamic Viscosity
The dynamic viscosity μ of the droplet.
Method Corresponding Method Node
Mass-Weighted Mixture
Mass-Weighted Mixture
Available when the Multicomponent Liquid model is selected. The viscosity is determined by the composition of the droplet.
Surface Tension
The droplet surface tension σ.
MethodCorresponding Method Node
Mixture
Mixture
Available when the Multicomponent Liquid model is selected. Specifies the mixing law for the liquid in the droplet.
Exponent
The exponent r in Eqn. (143). The default is 1.

TAB Breakup Field Functions

Droplet Dynamic Viscosity
The dynamic viscosity of the droplet μ l .
Droplet Surface Tension
The surface tension of the droplet σ .
Droplet Weber Number
The droplet Weber number We in Eqn. (3093).