An Integral Approach to Transient Heat-Conduction Problems with Phase Transition,

Abstract

An approximate method for studying transient heat-conduction problems is presented. Its application to various linear problems and nonlinear problems involving phase transitions is described by means of several idealized problems. The method is basically a refined version of the well-known Karman-Pohlhausen integral technique in boundary-layer theory, and represents a further development of the basic ideas previously exploited to calculate skin friction and heat transfer in boundary-layer flows. The approximate solutions obtained are extensively compared with existing exact solutions and those of the classical Karman-Pohlhausen method. From the simplicity and accuracy of the present method as demonstrated in the results, the potential utility of the method in providing simple, engineering solutions to complex aerodynamic heating problems can be inferred.

Document Details

Document Type
Technical Report
Publication Date
Mar 12, 1975
Accession Number
ADA010793

Entities

People

  • Tse-fou Zien

Organizations

  • Naval Ordnance Laboratory

Tags

DTIC Thesaurus Topics

  • Aerodynamic Heating
  • Boundaries
  • Boundary Layer
  • Boundary Layer Flow
  • Energy
  • Engineering
  • Friction
  • Heat Energy
  • Heat Transfer
  • Integrals
  • Layers
  • Mechanical Engineering
  • Phase Transformations
  • Skin Friction
  • Thermodynamics
  • Transitions

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Control Systems Engineering.
  • Fluid Dynamics.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms