Finite Element Solution Of Non-Fourier Thermal Wave Problems

Numerical Heat Transfer, Part B: Fundamentals

Volumn 44, Issue 1, 2003, Pages 45-60

  Xu, B ^a   Li, B Q ^a  

^a Washington State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; FINITE ELEMENT METHOD; GALERKIN METHODS; INTEGRATION; ONE DIMENSIONAL; THIN FILMS; THREE DIMENSIONAL; TWO DIMENSIONAL; ULTRASHORT PULSES; WAVE EQUATIONS; WAVE PROPAGATION;

GALERKIN WEIGHTED RESIDUALS; NEWMARK TIME-STEPPING ALGORITHM; NON-FOURIER HEAT CONDUCTION EQUATIONS; THERMAL WAVE PROPAGATION;

HEAT CONDUCTION;

EID: 0242583744     PISSN: 10407790     EISSN: 15210626     Source Type: Journal    
DOI: 10.1080/713836333     Document Type: Article

References (9)

1. Qing-Mei Fan and Wen-Qiang Lu, A New Numerical Method to Simulate the NonFourier Heat Conduction in a Single-Phase Medium, Int. J. Heat Mass Transfer, vol. 45, pp. 2815-2821, 2002.
2. P. Vernotte, Some Possible Complications in the Phenomena of Thermal Conduction. Compte Rendus, vol. 252, pp. 2190-2191, 1961.
3. C. Cattaneo, A Form of Heat Conduction Equation which Eliminates the Paradox of Instantaneous Propagation, Compte Rendus, vol. 247, pp. 431-433, 1958.
4. Da Yu Tzou, The Generalized Lagging Response in Small-Scale and High-Rate Heating, Int. J. Heat Mass Transfer, vol. 38, no. 17, pp. 3231-3240, 1995.
5. H. Q. Yang, Solution of Two-Dimensional Hyperbolic Heat Conduction by HighResolution Numerical Method, Numer. Heat Transfer A, vol. 21, pp. 333-349, 1992.
6. Han-Taw Chen and Jae-Yuh Lin, Analysis of Two-Dimensional Hyperbolic Heat Conduction Problems, Int. J. Heat Mass Transfer, vol. 37, no. 1, pp. 153-164, 1994.
7. A. Barletta and E. Zanchini, Three-Dimensional Propagation of Hyperbolic Thermal Waves in a Solid Bar with Rectangular Cross-Section, Int. J. Heat Mass Transfer, vol. 42, pp. 219-229, 1999.
8. D. W. Tang and N. Araki, Non-Fourier Heat Conduction Behavior in Finite Mediums under Pulse Surface Heating, Mater. Sci. Eng. A, vol. 292, pp. 173-178, 2000.
9. J. N. Reddy, An Introduction to the Finite Element Method, 2d ed., McGraw-Hill, New York, 1993.