Temperature prediction for multi-dimensional domains in standard fire

Communications in Numerical Methods in Engineering

Volumn 23, Issue 11, 2007, Pages 1035-1055

  Wang, Zhi Hua ^a   Tan, Kang Hai ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Analytical formulation; Heat transfer; Multi dimension; Standard fire

Indexed keywords

BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; ESTIMATION; HEAT TRANSFER; TEMPERATURE;

MULTI-DIMENSIONAL DOMAINS; STANDARD FIRE; TEMPERATURE CURVE;

HEAT CONDUCTION;

BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; ESTIMATION; HEAT CONDUCTION; HEAT TRANSFER; TEMPERATURE;

EID: 36048940293     PISSN: 10698299     EISSN: 10990887     Source Type: Journal    
DOI: 10.1002/cnm.950     Document Type: Article

References (24)

1. Schneider PJ. Conduction Heat Transfer. Addison-Wesley: Reading, MA, 1955.
2. Carslaw HS, Jaeger JC. Conduction of Heat in Solids (2nd edn). Oxford University Press: New York, 1959.
3. Ozisik MN. Heat Conduction (2nd edn). Wiley: New York, 1993.
4. Holman JP. Heat Transfer (9th edn). McGraw Hill: New York, 2002.
5. DeMonte F. Transient heat conduction in one-dimensional composite slab. A 'natural' approach. International Journal of Heat and Mass Transfer 2000; 43:3607-3619.
6. Beck JV, Cole KD, Haji-Sheikh A, Litkouhi B. Heat Conduction Using Green's Functions. Hemisphere Publishing Corporation: New York, 1992.
7. Cole KD, Yen DHY. Green's function, temperature and heat flux in the rectangle. International Journal of Heat and Mass Transfer 2001; 44:3893-3994.
8. Yen DHY, Beck JV. McMasters; RL, Amos DE. Solution of an initial-boundary values problem for heat conduction in a parallelepiped by time partitioning. International Journal of Heat and Mass Transfer 2002; 45:4267-4279.
9. Beck JV, McMasters RL. Solutions for multi-dimensional transient heat conduction with solid body motion. International Jounral of Heat and Mass Transfer 2004; 47:3757-3768.
10. Wickstrom U. Temperature analysis of heavily-insulated steel structures exposed to fire. Fire Safety Journal 1985; 9:291-285.
11. Melinek SJ, Thomas PH. Heat flow to insulated steel. Fire Safety Journal 1987; 12:1-8.
12. Wang ZH, Au SK, Tan KH. Heat transfer analysis using a Green's function approach for uniformly insulated steel members subjected to fire. Engineering Structures 2005; 27(10):1551-1562.
13. Wang ZH, Tan KH. Green's function solution for transient heat conduction in concrete-filled steel CHS subjected to fire. Engineering Structures 2006; 28(11):1574-1585.
14. Wang ZH, Tan KH. Sensitivity study of time delay coefficient of heat transfer formulations for insulated steel members exposed to fire. Fire Safety Journal 2006; 41(1):31-38.
15. Incropera FP, DeWitt DP. Fundamentals of Heat and Mass Transfer (4th edn). Wiley: New York, 1996.
16. Watson GN. A Treatise on the Theory of Bessel Functions (2nd edn). Cambridge University Press: Cambridge, MA, 1995.
17. Heisler W. Temperature charts for induction and constant temperature beating. Journal of Heat Transfer-Transactions of the ASME 1947; 69:27-236.
18. ISO 834. Fire Resistance Tests-Elements of Building Construction. International Standards Organisation, 1975.
19. prEN 1991-1-2. Eurocode 1: Actions on Structures - Part 1-2: General Actions - Actions on Structures Exposed to Fire (3rd draft). CEN: Brussels, 30 May 2001.
20. American Society for Testing and Materials. Standard Methods of Fire Endurance Tests of Building Construction and Materials. ASTM E119-88, ASTM: Philadelphia, PA, 1990.
21. SBN. Swedish Building Code 1975. National Board of Physical Planning and Buildings, 1975.
22. Rudin W. Principle of Mathematical Analysis (3rd edn). McGraw Hill: New York, 1976.
23. PrEN 1904-1-2. Eurocode 4: Design of Composite Steel and Concrete Structures - Part 1-2: Structural Rules - Structural Fire Design (final draft). CEN: Brussels, 2003.
24. Wang YC. Steel and Composite Structures: Behaviour and Design for Fire Safety. Spon Press: London, 2002.