Use of a Transcendental Approximation in Transient Conduction Analysis

Abstract

In this paper a particular example of a transient conduction problem with a non-linear boundary condition is considered, for which other solutions have been obtained. This example consists of unsteady one-dimensional conduction in a semi-infinite slab with the boundary condition that the heat flux at the surface is proportional to the n-th power of the surface temperature and with the initial condition that the slab temperature is uniform, forming the reference zero, i.e. the zero of an appropriate empirical temperature scale.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1967
Accession Number
ADA385497

Entities

People

  • P. D. Richardson
  • W. W. Smith

Organizations

  • Brown University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Asymptotic Series
  • Boundaries
  • Boundary Layer
  • Boundary Layer Flow
  • Coefficients
  • Differential Equations
  • Equations
  • Flow
  • Flow Fields
  • Heat Flux
  • Heat Transmission
  • Laminar Boundary Layer
  • Surface Temperature
  • Temperature Coefficients
  • Thermal Conductivity
  • Variational Methods
  • Variational Principles

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Thermal Physics or Thermal Science.