Verification solutions for heat conduction with solid body motion and isothermal boundary conditions

Arabian Journal for Science and Engineering

Volumn 27, Issue 2 C, 2002, Pages 49-65

  Beck, James V ^a   McMasters, Robert L ^a  

^a Michigan State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; GREEN'S FUNCTION; HEAT FLUX; ISOTHERMS; SET THEORY; THERMAL CONDUCTIVITY;

SOLID BODY MOTIONS;

HEAT CONDUCTION;

EID: 0037843212     PISSN: 2193567X     EISSN: 21914281     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. D. Rosenthal, "The Theory of Moving Sources of Heat and Its Application to Metal Treatments", Trans. ASME, 68 (1946), pp. 849-866.
2. M. Ozisik, Heat Conduction, 2nd edn. New York: Wiley Interscience, 1993.
3. P.J. Schneider, Conduction Heat Transfer. Reading, MA: Addison-Wesley, 1955.
4. W. Minkowycz, A. Haji-Sheikh, and K. Vafai, "On Departure from Local Thermal Equilibrium in Porous Media Due to a Rapidly Changing Heat Source: The Sparrow Number", International Journal of Heat and Mass Transfer, 42 (1999), pp. 3373-3385.
5. J.V. Beck, K.D. Cole, A. Haji-Sheikh, and B. Litkouhi, Heat Conduction Using Green's Functions. Washington D.C.: Hemisphere Publishing, 1992.
6. R. McMasters, K. Dowding, J. Beck, and D. Yen, "Methodology to Generate Accurate Solutions for Verification in Transient Three-Dimensional Heat Conduction", Journal of Numerical Heat Transfer, Part B, 41 (2002), pp. 521-541.
7. D. Yen, J. Beck, and R. McMasters, "Solution of an Initial-Boundary Value Problem for Heat Conduction in a Parallelepiped by Time Partitioning", International Journal of Heat and Mass Transfer, 45 (2002), pp. 4267-4279.
8. Extended copies of tables for the long time Green's functions are posted at: www.BeckEng.com, www.egr.msu.edu/̃mcmaste7, and www.engr.unl.edu/̃glibrary.
9. nd edn. Oxford: Oxford University Press, 1959.