A General Solution to the One- and Two-Dimensional Melting Using a Finite Difference Approach,

Abstract

A general solution has been developed for the melting of solid materials, including a phase transition in the one- and two-dimensional models requiring a minimal amount of computer time and space and using a nonstandard finite difference approach. Accuracies of 1% in temperature profiles with time can easily be achieved. Both of these programs will handle a wide range of heating power levels and any desired thickness of liquid layer retained. Techniques developed in the one-dimensional case have served as helpful guidelines for the more complex two-dimensional burnthrough times and temperature profiles have aided in separating out the effects of radial heat conduction and geometry. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 23, 1970
Accession Number
AD0716021

Entities

People

  • Stephen T. Hanley

Organizations

  • United States Naval Research Laboratory

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Burnthrough
  • Computers
  • Geometry
  • Heat Energy
  • Materials
  • Mathematics
  • Phase Transformations
  • Power Levels
  • Sizes (Dimensions)
  • Thickness
  • Transition Temperature
  • Transitions
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design
  • Thermal Physics or Thermal Science.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster