A METHOD FOR THE RAPID NUMERICAL SOLUTION OF THE HEAT CONDUCTION EQUATIONS FOR ENERGY ABSORBED BY A SEMI-INFINITE SOLID HEATED BY A VARYING SURFACE TEMPERATURE AT X=0

Abstract

A RAPID NUMERICAL SCHEME IS PRESENTED FOR OBTAINING THE ENERGY ABSORBED PER UNIT OF AREA, Q, THROUGH THE SURFACE OF A SEMI-INFINITE SOLID, WHERE THE SURFACE TEMPERATURE IS GIVEN AS A FUNCTION OF TIME. A simple numerical scheme is used to evaluate the integral which defines q in terms of the surface temperature. Average values of the surface temperature are used in each time interval of the grid which partitions the time axis. This method eliminates the necessity of computing the rate at which energy is transferred to the solid and/or the interior temperatures of the solid. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1961
Accession Number
AD0265417

Entities

People

  • John D. Ferguson

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Equations
  • Integrals
  • Intervals
  • Mathematics
  • Surface Temperature
  • Time Intervals

Fields of Study

  • Mathematics

Readers

  • Combustion and Flow Dynamics.
  • Computational Modeling and Simulation
  • Plasma Physics / Magnetohydrodynamics