SSD Breakup Model Reference

In the Stochastic Secondary Droplet (SSD) breakup model, breakup is modeled as catastrophic, a random process unrelated to original droplet size. This results in a log normal distribution of droplet diameters in the long time limit.

The particles interact with the Eulerian fluid phase as they travel. Particles break up when three criteria are met:

  • The particle radius is larger than the critical radius (calculated from local droplet conditions using Eqn. (3114)).
  • The Weber number (calculated from local droplet conditions) is larger than a critical Weber number (set in the interface).
  • The particle's local time (the accumulated residence time) is larger than the breakup time (Eqn. (3115)). The model tracks parcels as they cross the domain and compares the residence time with a locally evaluated breakup time. The residence time is only calculated accumulating on parcels with a radius larger than a critical radius and a Weber number larger than a critical Weber number.

When the particle breaks up, the local time is reset for the new parcels.

You can control the average number of particles per child parcel and the maximum number of child parcels formed in each breakup event using the Target Count and Maximum Child Parcels properties. The model uses these values when calculating the size, number of parcels, and particles per parcel (parcel count) of the child parcels. This gives you some control over the discretization of the spray.

Note that neither Target Count nor Maximum Child Parcels changes the physics of the breakup event, since these parameters do not change the diameter distribution functions. Rather, these parameters influence the total number of parcels in the calculation and thus the relative expense of the computation. A larger number of samples usually means an improved representation of the droplet size distribution.

Theory See SSD Breakup Model.
Provided By Lagrangian Multiphase > Lagrangian Phases > [phase] > Models > Secondary Breakup
Example Node Path Lagrangian Multiphase > Lagrangian Phases > [phase] > Models > SSD 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 SSD Breakup Properties.
Activates Materials See SSD Breakup Material Properties.
Field Functions Droplet Dynamic Viscosity, Droplet Surface Tension, Droplet Weber Number. See SSD Breakup Field Functions.

SSD Breakup Properties

WeCrit
The critical Weber number, We c r in Eqn. (3114). The larger value of We c r limits breakup to larger droplets. The default value is 12.
Target Count
The average number of particles per child parcel, derived from Eqn. (3116). The default value is 1000.
B1
The breakup parameter, B1 in Eqn. (3115). The larger this value is, the later breakups occur. The default value is 3 .
K0
Controls the mean distribution of child diameters; K0, equal to ξ in Eqn. (3117). The default value is -0.1.
K1
Controls the breadth of the distribution of diameters; K1 in Eqn. (3117). The default value is 0.1.
Maximum Child Parcels
The maximum number of parcels that can result from a breakup. Use this to limit the greater computational expense of a large number of child parcels. The default value is 10.
Normal Velocity Coefficient
Controls the radial diffusion of the spray; K3 in Eqn. (3118). The larger it is, the more rapid the radial diffusion of the spray. Use a value of 0 if the spray angle is known and fixed at the injector. The default value is 0.1.

SSD Breakup Material Properties

Surface Tension
The droplet surface tension σ.
Method Corresponding 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.

SSD Breakup Field Functions

Droplet Surface Tension
The surface tension of the droplet material, σ .
Droplet Weber Number
The droplet Weber number Eqn. (3147).