Exact Solutions for Convective Heat Transfer.

Abstract

The convective heat transfer at a fluid/solid interface is investigated from a mathematical point of view. Through the use of a transformation, Th, a number of exact solutions of the heat equation satisfying convection or radiation type boundary conditions are developed from previously known solutions satisfying temperature-specified type boundary conditions. A general solution is obtained in the form of an integral representation and specific solutions are determined for some important particular choices of the boundary and initial data.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1979
Accession Number
ADA076967

Entities

People

  • John F. Polk

Organizations

  • Ballistic Research Laboratory

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Continents
  • Convection
  • Differential Equations
  • Energy Transfer
  • Equations
  • Geographic Regions
  • Heat Transfer
  • Integrals
  • Maryland
  • Mathematics
  • North America
  • Partial Differential Equations
  • Radiation
  • Virginia

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Combustion and Flow Dynamics.