Analysis of Early-Time Transient Heat Conduction by Method of Characteristics

[+] Author and Article Information
D. C. Wiggert

Department of Civil Engineering, Michigan State University, East Lansing, Mich.

J. Heat Transfer 99(1), 35-40 (Feb 01, 1977) (6 pages) doi:10.1115/1.3450651 History: Received March 24, 1976; Online August 11, 2010


The proposed equations describing early-time one-dimensional heat transfer are hyperbolic with temperature and flux being the dependent variables. The method of characteristics is applied resulting in a solution for the variables as functions of distance and time. A dimensionless parameter δ is introduced which is defined either as the inverse thermal propagation speed or relaxation time. The numerical solution yields explicitness, stability, and accuracy combined with ease of handling time-variable boundary conditions. Examples include predicted response to step inputs of flux or temperature at a surface or interface of materials and illustrate the transition from non-Fourier to Fourier-like diffusion.

Copyright © 1977 by ASME
Your Session has timed out. Please sign back in to continue.





Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In