On the Spherically Symmetric Phase Change Problem.

Abstract

The objectives of this paper are: To show that the application of the 'thin thermal boundary layer' approximation to collapsing bubbles is incorrect although this approximation has been used by all investigators interested in cavitation. To show that the available analyses based on the heat balance integral method contain a significant error because the assumed temperature profiles are incorrect when applied to a spherically symmetric problem. To solve the spherically symmetric phase change, i.c. 'moving boundary', problem by means of the heat balance integral method using the appropriate temperature profile. To use the results in an analysis of diffusion controlled bubble growth and collapse. Two solutions of the phase change problem are presented. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 20, 1971
Accession Number
AD0718151

Entities

People

  • Gunol Kocamustafaogullari
  • Novak Zuber

Organizations

  • New York University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Bubbles
  • Cavitation
  • Collapse
  • Diffusion
  • Heat Balance
  • Heat Energy
  • Integrals
  • Layers
  • Thermal Boundary Layer

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Systems Analysis and Design