TRANSIENT HEAT TRANSFER IN POROUS MEDIA.

Abstract

The general differential equations describing unsteady-state heat transfer with a fluid flowing through a porous medium are derived. These equations represent a physical model for heat transfer in thermal oil-recovery process, packed-bed chemical reactors, and heat regenerators. Fluid-solid convective heat transfer and longitudinal conduction in both the fluid and solid phases are considered. Laplace transformation and numerical inversion are used to solve the system of partial differential equations. A digital computer program obtains the numerical results which are compared to those of Green and Perry using finite difference technique, and to experimental data of Preston. Also presented are analytical solutions for the cases where the longitudinal conduction is neglected and the convective heat transfer coefficient is assumed to be infinite. These solutions are programmed and results are compared to those from the general case. The effect of different heat transfer mechanisms on temperature profiles at low fluid velocities is studied. The results show that this numerical method gives accurate results with relatively short computational time. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1965
Accession Number
AD0475237

Entities

People

  • Dang Dinh Hiep

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Chemical Reactors
  • Coefficients
  • Computer Programs
  • Computers
  • Differential Equations
  • Digital Computers
  • Equations
  • Experimental Data
  • Heat Transfer
  • Heat Transfer Coefficients
  • Laplace Transformation
  • Partial Differential Equations
  • Solid Phases

Fields of Study

  • Mathematics

Readers

  • Combustion and Flow Dynamics.
  • Fluid Dynamics.