THE FUSION OF A METAL BODY IN THE VICINITY OF CRITICAL POINT,

Abstract

An approximate analytical solution to the problem of ablation of a metal body near the stagnation point is considered. It is shown that the problem solution is reduced to integration of a non-linear boundary-value problem of the third order with supplementary condition for determination of the unknown thickness of the film. The precise solution of the boundary-value problem of interest is fairly approximated by the first terms of the Taylor series of the desired function near the zero point. This is confirmed by estimation of the residual term and by comparison with computed values. For fused metals the expression of the rate of ablation is found in a finite form to within 3-5% and may be approximated by the power dependence of the Mach number. The results of the steady-state theory are used for determination of ablation value when a body flies with a variable velocity and at a constant altitude. The dependence of ablation on pressure is found which corresponds to maximum ablation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 17, 1965
Accession Number
AD0622359

Entities

People

  • B. I. Reznikov

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Ablation
  • Altitude
  • Boundaries
  • Boundary Value Problems
  • Mach Number
  • Motion
  • Physical Properties
  • Residuals
  • Stagnation Point
  • Steady State
  • Thickness

Fields of Study

  • Physics

Readers

  • Aerodynamics/Aeronautics.
  • Calculus or Mathematical Analysis
  • Superconducting Magnet Technology