Transient power variation in surface conditions in heat conduction for plates

International Journal of Heat and Mass Transfer

Volumn 51, Issue 9-10, 2008, Pages 2553-2565

  Beck, James V ^a   Wright, Neil T ^a   Haji Sheikh, A ^b  

^a Michigan State University   (United States)

^b University of Texas at Arlington   (United States)

Author keywords

Analytical solutions; Heat conduction; Plates; Transient boundary conditions

Indexed keywords

ALGEBRA; BOUNDARY CONDITIONS; NUMERICAL METHODS;

ANALYTICAL SOLUTIONS; TRANSIENT BOUNDARY CONDITIONS;

HEAT CONDUCTION;

ALGEBRA; BOUNDARY CONDITIONS; HEAT CONDUCTION; NUMERICAL METHODS;

EID: 41649095477     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2007.07.043     Document Type: Article

References (21)

1. Ozisik M.N. Heat Conduction. second ed. (1993), John Wiley, New York
2. Beck J.V., Cole K.D., Haji-Sheikh A., and Litkouhi B. Heat Conduction Using Green's Functions (1992), Hemisphere Publishing Corp., New York (Chapter 5)
3. Beck J.V., and Cole K.D. Improving convergence of summations in heat conduction. Int. J. Heat Mass Transfer 50 (2007) 257-268
4. Crittenden P.E., and Cole K.D. Fast-converging steady-state heat conduction in the rectangular parallelepiped. Int. J. Heat Mass Transfer 45 (2002) 3585-3596
5. MacCluer C.R. Industrial Mathematics, Modeling in Industry, Science, and Government (2000), Prentice Hall, Englewood Cliffs
6. Alifanov O.M. Inverse Heat Transfer Problems (1994), Springer-Verlag, New York
7. Beck J.V., Haji-Sheikh A., Amos D.E., and Yen D.H.Y. Verification solution for partial heating of rectangular solid. Int. J. Heat Mass Transfer 47 (2004) 4243-4255
8. Beck J.V., McMasters R., Dowding K.J., and Amos D.E. Intrinsic verification methods in linear heat conduction. Int. J. Heat Mass Transfer 49 (2006) 2984-2994
9. McMasters R.L., Zhou Z., Dowding K.J., Somerton C., and Beck J.V. Exact solution for nonlinear thermal diffusion and its use for verification. AIAA J. Thermophys. Heat Transfer 16 (2002) 366-372
10. McMasters R.L., Dowding K., Beck J., and Yen D. Methodology to generate accurate solutions for verification in transient three-dimensional heat conduction. J. Numer. Heat Transfer (B) 41 6 (2002) 521-541
11. Roach P.J. Verification and Validation in Computational Science and Engineering (1998), Hermosa, Albuquerque, NM (Chapters 3-8)
12. Gustaffson S.E. Thermal properties of thin insulating layers using pulse transient hot strip measurements. J. Phys. D: Appl. Phys. 12 (1979) 1411-1421
13. Cole K.D. Steady-periodic Green's functions and thermal-measurement applications in rectangular coordinates. J. Heat Transfer 128 (2006) 709-716
14. Carslaw H.S., and Jaeger J.C. Conduction of Heat in Solids. second ed. (1959), Oxford, Oxford
15. Myers G.E. Analytical Methods in Conduction Heat Transfer (1971), McGraw-Hill, New York
16. Luikov A.V. Analytical Heat Diffusion Theory (1968), Academic Press, New York
17. Polyanin A.D. Handbook of Linear Partial Differential Equations for Engineers and Scientists (2002), Chapman and Hall/CRC, Boca Raton
18. Spanier J., and Oldham K.B. An Atlas of Functions (1987), Hemisphere Publishing Co., Washington, DC pp. 170, 179
19. Abramowitz M., and Stegun I.A. Handbook of mathematical functions with formulas, graphs, and mathematical tables, National Bureau of Standards. Appl. Math. Ser. 55 (1987) 805
20. Knopp K. Infinite Series and Sequences (1956), Dover Publications, New York
21. Jolley L.B.W. Summation of Series. second ed. (1961), Dover Publications, New York