Nonlinear Thermal Waves: Part II - Analytical Solutions for Pulses

Cramer, Mark S. and Lowekamp, Bruce B. and Watson, Layne T. (1994) Nonlinear Thermal Waves: Part II - Analytical Solutions for Pulses. Technical Report ncstrl.vatech_cs//TR-94-33, Computer Science, Virginia Polytechnic Institute and State University.

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Abstract

The weak shock theory developed by Cramer (1994) is used to derive explicit solutions for the evolution of one-dimensional weakly, nonlinear, weakly relaxing heat pulses in rigid conductors. Formulas and differential equations governing the evolution of general heat inputs are derived and applied to the special cases of a square-wave heat input and a finite width sine-wave heat input. Numerical solutions to the exact Maxwell-Cattaneo theory are also presented and show excellent agreement with these analytical solutions.

Item Type:	Departmental Technical Report
Subjects:	Computer Science > Historical Collection(Till Dec 2001)
ID Code:	415
Deposited By:	User autouser
Deposited On:	05 December 2001
Alternative Locations:	URL:ftp://ei.cs.vt.edu/pub/TechnicalReports/1994/TR-94-33.ps.gz, URL:http://historical.ncstrl.org/tr/ps/vatech_cs/TR-94-33.ps