Finite Difference Treatment of Transient Temperature Distribution in an Insulated Pipe

Abstract

This report discusses a Crank-Nicolson type of finite difference formulation for the problem of transient temperature distribution in a uniform cylindrical pipe with external insulation and containing a fluid for which temperature, pressure, and flow rate are given as functions of time. All material properties are assumed to depend on temperature. Discussion is also given of a digital computer program which implements this formulation. This implementation incorporates properties of superheated steam, the internal fluid, and of 2-1/4 Cr 1 Mo (P22), the pipe material. Stress calculations are also treated.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1976
Accession Number
ADA030103

Entities

People

  • John E. Brook

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Computer Programs
  • Computers
  • Difference Equations
  • Differential Equations
  • Digital Computers
  • Engineering
  • Equations
  • Flow Rate
  • Fluid Flow
  • Heat Transfer
  • Heat Transfer Coefficients
  • Materials
  • Mechanical Engineering
  • Partial Differential Equations
  • Procedures (Computers)
  • Temperature Gradients
  • Thermal Conductivity

Readers

  • Combustion and Flow Dynamics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Microelectronics