Solution of a coupled inverse heat conduction-radiation problem for the study of radiation effects on the transient hot wire measurements

Experimental Thermal and Fluid Science

Volumn 32, Issue 8, 2008, Pages 1766-1778

  Daouas, Naouel ^a   Fguiri, Ali ^a   Radhouani, Med Sassi ^b  

^a UNIVERSITY OF MONASTIR   (Tunisia)

^b Institut Polytechnique Privé de Tunis   (Tunisia)

Author keywords

Conduction radiation problem; Experimental apparatus; Inverse estimation; Numerical analysis; Sensitivity analysis; Transient hot wire method

Indexed keywords

ABSORPTION; ASTROPHYSICS; DIFFERENCE EQUATIONS; DIFFERENTIATION (CALCULUS); ERROR ANALYSIS; FINITE DIFFERENCE METHOD; HEAT CONDUCTION; HEAT EXCHANGERS; HEAT TRANSFER; HEATING EQUIPMENT; MATERIALS PROPERTIES; NUMERICAL ANALYSIS; NUMERICAL METHODS; RADIATION; SENSITIVITY ANALYSIS; SPECIFIC HEAT; TEMPERATURE MEASUREMENT; THERMAL CONDUCTIVITY; THERMAL INSULATING MATERIALS; THERMOANALYSIS; THERMODYNAMIC PROPERTIES; THERMOELECTRICITY; WIRE;

AB SORPTION COEFFICIENTS; CONDUCTION-RADIATION PROBLEM; CONDUCTIVE HEAT TRANSFER; DISCRETE ORDINATES METHOD; ENERGY EQUATION; EXPERIMENTAL APPARATUS; FINITE-DIFFERENCE SCHEMES; HEAT CAPACITIES; HEAT SOURCING; HEAT TRANSFER CO-EFFICIENT; HOT WIRES; HOT-WIRE METHOD; INITIAL GUESSES; INVERSE ANALYSIS; INVERSE CONDUCTION; INVERSE ESTIMATION; INVERSE HEAT CONDUCTION; LEVENBERG-MARQUARDT METHODS; NON-LINEAR FITTING; NUMERICAL SOLUTIONS; RADIATION HEAT TRANSFER; RADIATIVE TRANSFER EQUATION; THERMAL PROPERTIES; TRANSIENT HOT WIRE METHOD; TRANSIENT HOT-WIRE; TRANSIENT HOT-WIRE TECHNIQUE; WIRE SURFACES;

RADIATION EFFECTS;

EID: 49649109842     PISSN: 08941777     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.expthermflusci.2008.04.003     Document Type: Review

References (26)

1. Van Der Held E.F.M., and Van Drunen F.G. A method of measuring the thermal conductivity of liquids. Physics 15 10 (1949) 865-876
2. Haupin W.E. Hot wire method for rapid determination of thermal conductivity. American Ceramic Society Bulletin 39 3 (1960) 139-141
3. Abu-Hamdeh N.H., Khdair A.I., and Reeder R.C. A comparison of two methods used to evaluate thermal conductivity of some soils. International Journal of Heat and Mass Transfer 44 (2001) 1073-1078
4. dos Santos W.N. Thermal properties of melt polymers by the hot wire technique. Polymer Testing 24 (2005) 932-941
5. de Sylos Cintra Jr. J., and dos Santos W.N. Numerical analysis of sample dimensions in hot wire thermal conductivity measurements. Journal of the European Ceramic Society 20 (2000) 1871-1875
6. Fguiri A., Daouas N., Borjini N., and Radhouani M.-S. Experimental inverse analysis for the determination of boundary conditions in the parallel hot wire technique. Experimental Thermal and Fluid Science 31 (2007) 209-220
7. Menashe J., and Wakeham W.A. Effect of absorption of radiation on thermal conductivity measurements by the transient hot wire technique. International Journal of Heat and Mass Transfer 25 5 (1982) 661-673
8. Ebert H.P., and Fricke J. Influence of radiation transport on hot-wire thermal conductivity measurement. High Temperature-High Pressure 30 (1998) 655-669
9. Gross U., and Tran L.-T.-S. Radiation effects on transient hot-wire measurements in absorbing and emitting porous media. International Journal of Heat and Mass Transfer 47 (2004) 3279-3290
10. Coquard R., Baillis D., and Quenard D. Experimental and theoretical study of the hot-wire method applied to low-density thermal insulators. International Journal of Heat and Mass Transfer 49 (2006) 4511-4524
11. Carlson B.G., and Lathrop K.D. Transport theory-the method of discrete ordinates. In: Greenspan H., Kelber C.N., and Okrent D. (Eds). Computing Methods in Reactor Physics (1968), Gordon & Breach, New York
12. Manickavasagam S., and Menguc M.P. Inverse radiation/conduction problem in plane-parallel media. Radiative Heat Transfer: Theory and Applications, ASME HTD 244 (1993) 67-75
13. Ruperti Jr. N.J., Raynaud M., and Sacadura J.F. A method for the solution of the coupled inverse heat conduction-radiation problem. Journal of Heat Transfer 118 (1996) 10-17
14. Li H.Y. Estimation of thermal properties in combined conduction and radiation. International Journal of Heat and Mass Transfer 42 (1999) 565-572
15. Kim K.W., and Baek S.W. Inverse radiation-conduction design problem in a participating concentric cylindrical medium. International Journal of Heat and Mass Transfer 50 (2007) 2828-2837
16. Özisik M.N., and Orlande H.R.B. Inverse Heat Transfer: Fundamentals and Applications (2000), Taylor & Francis, New York
17. Modest M.F. Radiative Heat Transfer (1993), MCGraw-Hill, Inc.
18. Truelove J.S. Three-dimensional radiation in absorbing-emitting-scattering media using the discrete-ordinates approximation. Journal of Quantitative Spectroscopy and Radiative Transfer 39 (1988) 27-31
19. Kayakol N., Selçuk N., Campbell I., and Gülder O.L. Performance of discrete ordinates method in a gas turbine combustor simulator. Experimental Thermal and Fluid Science 21 (2000) 134-141
20. Lathrop K.D. Spatial differencing the transport equation: positivity vs. accuracy. Journal of Computational Physics 4 (1969) 475-498
21. Patankar S.V. Numerical Heat Transfer and Fluid Flow (1980), Hemisphere/McGraw-Hill, New York
22. G. De Carvalho, A.J. Silva Neto, Experiment design and optimization with inverse analysis for polymers thermal properties estimation. Paper presented at the 3rd International Conference on Inverse Problems in Engineering, Port Ludlow, WA, 13-18 June 1999.
23. Minkowycz W.J., Sparrow E.M., Schneider G.E., and Pletcher R.H. Handbook of Numerical Heat Transfer (1988), Wiley Interscience
24. Raynaud M. Strategy for experimental design and the estimation of parameters. High Temperatures-High Pressures 31 (1999) 1-15
25. Beck J.V. Sensitivity coefficients utilized in nonlinear estimation with small parameters in a heat transfer problem. Journal of Basic Engineering 6 (1970) 215-222
26. Mejias M.M., Orlande H.R.B., and Özisik M.N. Effect of the heating process and body dimensions on the estimation of the thermal conductivity components of orthotropic solids. Inverse Problems in Engineering 11 1 (2003) 75-89