Improved analytical solution for inverse heat conduction problems on thermally thick and semi-infinite solids

International Journal of Heat and Mass Transfer

Volumn 49, Issue 17-18, 2006, Pages 2864-2876

  Woodfield, P L ^a   Monde, M ^a   Mitsutake, Y ^a  

^a SAGA UNIVERSITY   (Japan)

Author keywords

Analytical solution; IHCP; Semi infinite solid

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; HEAT FLUX; INVERSE PROBLEMS; LAPLACE TRANSFORMS; TEMPERATURE DISTRIBUTION;

ANALYTICAL SOLUTIONS; IHCP; SEMI-INFINITE SOLIDS; SURFACE TEMPERATURES;

HEAT CONDUCTION;

APPROXIMATION THEORY; BOUNDARY CONDITIONS; HEAT CONDUCTION; HEAT FLUX; INVERSE PROBLEMS; LAPLACE TRANSFORMS; TEMPERATURE DISTRIBUTION;

EID: 33745178787     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2006.01.050     Document Type: Article

References (11)

1. Burggraf O.R. An exact solution of the inverse problem in heat conduction theory and applications. ASME J. Heat Transfer 86 (1964) 373-382
2. Sparrow E.M., Haji-Sheikh A., and Lundgren T.S. The inverse problem in transient heat conduction. ASME J. Appl. Mech. 31 (1964) 369-375
3. Imber M. Temperature extrapolation mechanism for two-dimensional heat flow. AIAA J. 12 8 (1974) 1089-1093
4. Shoji M. Study of inverse problem of heat conduction. Trans. JSME 44 381 (1978) 1633-1643 (in Japanese)
5. Woodfield P.L., Monde M., and Mitsutake Y. Implementation of an analytical inverse heat conduction technique to practical problems. Int. J. Heat Mass Transfer 49 (2006) 187-197
6. Monde M., and Mitsutake Y. A new estimation method of thermal diffusivity using analytical inverse solution for one-dimensional heat conduction. Int. J. Heat Mass Transfer 44 (2001) 3169-3177
7. Monde M., Arima H., and Mitsutake Y. Estimation of surface temperature and heat flux using inverse solution for one-dimensional heat conduction. J. Heat Transfer 125 (2003) 213-223
8. Monde M., Arima H., Liu W., Mitsutake Y., and Hammad J.A. An analytical solution for two-dimensional inverse heat conduction problems using Laplace transform. Int. J. Heat Mass Transfer 46 (2003) 2135-2148
9. Hammad J., Mitsutake Y., and Monde M. Movement of maximum heat flux and wetting front during quenching of hot cylindrical block. Int. J. Therm. Sci. 43 (2004) 743-752
10. Mozumder A.K., Monde M., and Woodfield P.L. Delay of wetting propagation during jet impingement quenching for a high temperature surface. Int. J. Heat Mass Transfer 48 (2005) 5395-5407
11. Carslaw H.S., and Jaeger J.C. Conduction of Heat in Solids. second ed. (2003), Oxford University Press