A Numerical Procedure for Two Dimensional Heating and Melting Calculations, with Applications to Laser Effects

Abstract

A method for determining the two dimensional transient temperature distribution and progression of melting in disks subjected to an applied flux over one face is given. The calculations are performed by dividing the solid into a number of finite elements and performing a heat balance over finite time increments. The method was found to give good agreement with known solutions for two dimensional heat conduction problems and one dimensional melting problems. Two dimensional melting problems in alumina, titanium, stainless steel, and magnesium are also considered as examples of the method. The results include a demonstration that the time required to melt through approaches the time predicted by a one dimensional (axial) heat balance if the power per unit thickness is sufficiently large.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1972
Accession Number
AD0757189

Entities

People

  • Peter J. Torvik

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Composite Materials
  • Computer Programs
  • Computers
  • Diameters
  • Differential Equations
  • Energy
  • Heat Balance
  • Heat Energy
  • Heat Flux
  • Heat Transfer
  • Mechanics
  • Phase Transformations
  • Stainless Steel
  • Surface Properties
  • Surface Temperature
  • Thermal Properties

Readers

  • Fluid Dynamics.
  • Materials Science and Engineering.

Technology Areas

  • Directed Energy