Computer Science Technical Reports
CS at VT

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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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
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