Transformation and Self-Similarity Properties of Gamma and Weibull Fragment Size Distributions

Abstract

This paper describes properties of Gamma and Weibull size distributions, of the type commonly used for liquid and solid fragmentation. Starting with general three-parameter forms, this paper systematically derives, categorizes, and compares two-parameter Gamma and Weibull subsets. Based on comparisons with test data, rare variants may sometimes perform as well as, or better than, well-known variants. Gamma distributions have traditionally been used mostly for liquid fragmentation while Weibull distributions have traditionally been used mostly for solid fragmentation. Based on comparisons with test data, Gamma and Weibull distributions appear to be equally applicable to both liquid and solid fragmentation.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 2015
Accession Number
ADA624878

Entities

People

  • Culbert B. Laney

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Atmospheric Sciences
  • Chemical Engineering
  • Department Of Defense
  • Distribution Functions
  • Drops
  • Engineering
  • English Language
  • Equations
  • Fluid Mechanics
  • Fluids
  • Mechanics
  • Nozzles
  • Particle Size
  • Particles
  • Physics
  • Planetary Sciences
  • Probability

Readers

  • Defense Acquisition Program Management
  • Explosive Engineering.
  • Statistical inference.