Computer programs for temperature in fins and slab bodies with the method of Green's functions

Computer Applications in Engineering Education

Volumn 12, Issue 3, 2004, Pages 189-197

  Cole, Kevin D ^a  

^a UNIVERSITY OF NEBRASKA LINCOLN   (United States)

Author keywords

Analytical solution; Convection heat transfer; Green's functions; Heat conduction; Open source software

Indexed keywords

ANALYTICAL SOLUTION; CONVECTION HEAT TRANSFER; OPEN SOURCE SOFTWARE; SLAB BODIES;

BOUNDARY CONDITIONS; COMPUTER PROGRAM LISTINGS; COMPUTER SOFTWARE; HEAT CONDUCTION; HEAT TRANSFER; LEARNING SYSTEMS; STUDENTS;

GREEN'S FUNCTION;

EID: 33750377122     PISSN: 10613773     EISSN: 10990542     Source Type: Journal    
DOI: 10.1002/cae.20010     Document Type: Article

References (22)

1. H. S. Carslaw, Mathematical theory of the conduction of heat in solids, MacMillan, New York, 1921.
2. H. S. Carslaw and J. C. Jaeger, Conduction of heat in solids, Oxford University Press, Oxford, UK, 1959.
3. G. Barton, Elements of Green's Functions and Propagation, Oxford University Press, Oxford, UK, 1989.
4. Y. A. Melnikov, Green's functions in applied mechanics, Computational Mechanics Publications, Boston-Southhampton, 1995.
5. J. V. Beck, K. D. Cole, A. Haji-Sheikh, and B. Litkouhi, Heat conduction using Green's functions, Hemisphere Publishing Corporation, Washington, DC, 1992.
6. D. G. Duffy, Green's functions with applications, Chapman and Hall/CRC, Boca Raton, FL, 2001.
7. D. R. Harper and P. W. Brown, Mathematical equations for heat conduction in the fins of air-cooled engines, NACA Report 158 (1922).
8. K. A. Gardner, Efficiency of extended surfaces, Trans ASME 67 (1945), 621-631.
9. M. Jakob, Heat transfer, Wiley, New York, 1949.
10. A. Haji-Sheikh, L. Yan, and S. P. Kinsey, A single equation solution for conduction in fins, Int J Heat Mass Transfer 34 (1991), 159-165.
11. Intellipro, Interactive heat transfer, Wiley, New York, 1996.
12. A. Haji-Sheikh, Conduction Solver, Lab Report, Department of Mechanical Engineering, University of Texas at Arlington, 1989.
13. A. Haji-Sheikh, Heat diffusion in heterogeneous media using heat-flux-conserving basis functions, J Heat Transfer 110 (1988), 276-282.
14. R. J. Ribando and G. W. O'Leary, Teaching module for one-dimensional transient conduction, Comput Appl Eng Educ 6 (1998), 41-51.
15. C. W. Somerton, L. J. Genik, D. Beavers, and T. Jammer, A Nusselt number correlation classification system, Proceedings of the American Society of Engineering Education, 1999.
16. K. D. Cole and P. E. Crittenden, Heat Conduction in Cartesian Coordinates and a Library of Green's Functions, 35th National Heat Transfer Conference, Anaheim, CA, June 10-12, 2001.
17. K. D. Cole, Green's Function Library, www.engr.unl. edu/~glibrary.
18. P. E. Crittenden and K. D. Cole, Fast-converging steady-state heat conduction in the rectangular parallelepiped, Int J Heat Mass Transfer 45 (2002), 3585-3596.
19. GNU Free Software Foundation, www.gnu.org/fsf/ fsf.html, accessed Sept. 3, 2003.
20. www.w3.org/Math/, accessed June 17, 2003.
21. R. Miner and P. Topping, Math on the web: A status report, Proceedings of the Second International MathML Conference, September, 2002, www.mathtype. com/en/reference/webmath/status/status_Sep_02.htm
22. www.w3.org/Math/implementations.html, accessed June 17, 2003.