Simultaneous estimation of temperature-dependent volumetric heat capacity and thermal conductivity functions via neural networks

International Journal of Heat and Mass Transfer

Volumn 68, Issue , 2014, Pages 1-13

  Czél, Balázs ^a,b   Woodbury, Keith A ^a   Gróf, Gyula ^b  

^a University of Alabama   (United States)

^b BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

Author keywords

Finite difference method; Inverse heat conduction problem; Neural network; Thermal conductivity; Volumetric heat capacity

Indexed keywords

HEAT CONDUCTION PROBLEMS; INVERSE HEAT CONDUCTION PROBLEM; MULTILAYER FEEDFORWARD NEURAL NETWORKS; RADIAL BASIS FUNCTION(RBF); SIMULTANEOUS IDENTIFICATION; THERMOPHYSICAL PROPERTY MEASUREMENTS; TRANSIENT TEMPERATURE HISTORY; VOLUMETRIC HEAT CAPACITY;

BACKPROPAGATION ALGORITHMS; FINITE DIFFERENCE METHOD; FUNCTION EVALUATION; HEAT CONDUCTION; INVERSE PROBLEMS; ITERATIVE METHODS; NEURAL NETWORKS; RADIAL BASIS FUNCTION NETWORKS; SPECIFIC HEAT; THERMAL CONDUCTIVITY; BACKPROPAGATION; THERMAL CONDUCTIVITY OF SOLIDS; THERMODYNAMIC PROPERTIES;

THERMAL CONDUCTIVITY OF SOLIDS; THERMAL CONDUCTIVITY;

EID: 84885136551     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2013.09.010     Document Type: Article

References (48)

1. B. Czél, K.A. Woodbury, and Gy. Gróf Inverse identification of temperature-dependent volumetric heat capacity by neural networks Int. J. Thermophys. 34 2 2013 284 305 10.1007/s10765-013-1410-6
2. M.J. Assael, M. Dix, K. Gialou, L. Vozar, and W.A. Wakeham Application of the transient hot-wire technique to the measurement of the thermal conductivity of solids Int. J. Thermophys. 23 3 2002 615 633
3. W.J. Parker, R.J. Jenkins, C.P. Butler, and G.L. Abott Flash method for determining thermal diffusivity J. Appl. Phys. 32 9 1961 1679 1684
4. L. Kubicar, V. Vretenar, V. Stofanik, and V. Bohac Hot-ball method for measuring thermal conductivity Int. J. Thermophys. 31 10 2008 1904 1918
5. V. Bohac, M.K. Gustafsson, L. Kubicar, and S.E. Gustafsson Parameter estimations for measurements of thermal transport properties with the hot disk thermal constants analyzer Rev. Sci. Instrum. 71 6 2000 2452 2455
6. L. Kiss, Determination of Thermal Properties (in Hungarian), CSc Thesis, Hungarian Academy of Sciences, Budapest, 1983.
7. B. Czél, Gy. Gróf, and L. Kiss Simultaneous measurement of temperature dependent thermophysical properties Jpn. J. Appl. Phys. 50 11/2 2011 1 5 10.1143/JJAP.50.11RE05 Art. # 11RE05
8. C. Yang Determination of temperature dependent thermophysical properties from temperature responses at medium's boundaries Int. J. Heat Mass Transfer 43 7 2000 1261 1270 (Pubitemid 30170612)
9. J. Zmywaczyk Numerical estimation of temperature-dependent thermophysical parameters by means of the inverse method - 2D approach Arch. Thermodyn. 27 2 2006 37 54 (Pubitemid 44835863)
10. S. Zhao, B. Zhang, S. Du, and X. He Inverse identification of thermal properties of fibrous insulation from transient temperature measurements Int. J. Thermophys. 30 6 2009 2021 2035
11. J. Zmywaczyk Simultaneous estimation of the emissivity and the temperature-dependent thermal conductivity and specific heat in a semitransparent plane layer by an inverse method Arch. Thermodyn. 27 3 2006 39 62 (Pubitemid 44835975)
12. V.T. Borukhov, and V.I. Timoshpol'skii Functional identification of the nonlinear thermal-conductivity coefficient by gradient methods. I. Conjugate operators J. Eng. Phys. Thermophys. 78 4 2005 695 702 (Pubitemid 41744358)
13. C. Huang, and J. Yan An inverse problem in simultaneously measuring temperature-dependent thermal conductivity and heat capacity Int. J. Heat Mass Transfer 38 18 1995 3433 3441
14. J.V. Beck, B. Blackwell, and C.R. St Clair Jr. Inverse Heat Conduction 1985 Wiley New York
15. M.N. Özisik, and H.R.B. Orlande Inverse Heat Transfer: Fundamentals and Applications 2000 Taylor & Francis New York
16. M. Raudensky, J. Horsky, J. Krejsa, and L. Slama Usage of artificial intelligence methods in inverse problems for estimation of material parameters Int. J. Numer. Methods Heat Fluid Flow 6 8 1996 19 29 (Pubitemid 126522834)
17. S. Garcia, J. Guynn, and E.P. Scott Use of genetic algorithms in thermal property estimation. Part II: Simultaneous estimation of thermal properties Numer. Heat Transfer Part A Appl. 33 2 1998 149 168 (Pubitemid 128620539)
18. A. Imani, A.A. Ranjbar, and M. Esmkhani Simultaneous estimation of temperature-dependent thermal conductivity and heat capacity based on modified genetic algorithm Inverse Prob. Sci. Eng. 14 7 2006 767 783 (Pubitemid 44769215)
19. A.A. Ranjbar, M. Famouri, and A. Imani A transient inverse problem in simultaneous estimation of TDTP based on MEGA Int. J. Numer. Methods Heat Fluid Flow 20 2 2010 201 217
20. Q. Guo, D. Shen, Y. Guo, and C.H. Lai Parallel genetic algorithms for the solution of inverse heat conduction problems Int. J. Comput Math. 84 2 2007 241 249 (Pubitemid 46788927)
21. S.W. Phillips, W. Aquino, and W.M. Chirdon Simultaneous inverse identification of transient thermal properties and heat sources using sparse sensor information J. Eng. Mech. 133 12 2007 1341 1351 (Pubitemid 350162739)
22. A. Adili, N. Hasni, C. Kerkeni, and S. Ben Nashrallah An inverse problem based on genetic algorithm to estimate thermophysical properties of fouling Int. J. Therm. Sci. 49 6 2010 889 900
23. V. Gorbatov, Yu. Okulovskii, P. Skripov, A. Smotritskiy, and A. Starostin Identification of heat-exchange parameters under intensive pulse heating of a wire in a fluid J. Eng. Thermophys. 19 3 2010 144 153
24. B. Czél, and Gy. Gróf Genetic algorithm-based method for determination of temperature-dependent thermophysical properties Int. J. Thermophys. 30 6 2009 1975 1991
25. B. Czél, and Gy Gróf Inverse identification of temperature-dependent thermal conductivity via genetic algorithm with cost function-based rearrangement of genes Int. J. Heat Mass Transfer 55 2012 4254 4263
26. B. Czél, and Gy. Gróf Simultaneous identification of temperature-dependent thermal properties via enhanced genetic algorithm Int. J. Thermophys. 33 2012 1023 1041
27. B. Czél, and Gy. Gróf Thermophysical properties of porous mineral-resin composites determined by a transient measurement technique Period. Polytech. Mech. Eng. 52 2 2008 43 48 10.3311/pp.me.2008-2.01
28. B. Czél, Determination of the thermal conductivity and the volumetric heat capacity by genetic algorithm (in Hungarian), PhD Thesis, Budapest University of Technology and Economics, Budapest, 2011. (http://www.doktori.hu/index.php?menuid=193&vid=7640).
29. M.T. Hagan, H.B. Demuth, and M.H. Beale Neural Network Design 1996 PWS Publishing Boston
30. S. Deng, and Y. Hwang Applying neural networks to the solution of forward and inverse heat conduction problems Int. J. Heat Mass Transfer 49 25-26 2006 4732 4750 (Pubitemid 44740423)
31. S. Deng, and Y. Hwang Solution of inverse heat conduction problems using Kalman filter-enhanced Bayesian back propagation neural network data fusion Int. J. Heat Mass Transfer 50 11-12 2007 2089 2100 (Pubitemid 46420588)
32. F.T. Mikki, E. Issamoto, J.I. da Luz, P.P.B. de Oliveira, H.F. Campos-Velho, J.D.S. da Silva, A neural network approach in a backward heat conduction problem, Proceedings of the Brazilian Conference on Neural Networks, Sao Jose dos Campos, Brazil, July 20-22 1999, pp. 19-24.
33. S.S. Sablani A neural network approach for non-iterative calculation of heat transfer coefficient in fluid-particle systems Chem. Eng. Process. 40 4 2001 363 369 (Pubitemid 32511693)
34. S.S. Sablani, A. Kacimov, J. Perret, A.S. Mujumdar, and A. Campo Non-iterative estimation of heat transfer coefficients using artificial neural network models Int. J. Heat Mass Transfer 48 3-4 2005 665 679 (Pubitemid 39637662)
35. S. Lecoeuche, G. Mercere, and S. Lalot Evaluating time-dependent heat fluxes using artificial neural networks Inverse Prob. Sci. Eng. 14 2 2006 97 109 (Pubitemid 43078577)
36. L. Zhang, L. Li, H. Ju, and B. Zhu Inverse identification of interfacial heat transfer coefficient between the casting and metal mold using neural network Energy Convers. Manage. 51 10 2010 1898 1904
37. L. Boillereoux, C. Cadet, and A. Le Bail Thermal properties estimation during thawing via real-time neural network learning J. Food Eng. 57 1 2003 17 23 (Pubitemid 35433487)
38. M.T. Sun, C.H. Chang, and B.F. Lin Using ANNs in calibrating the measurements of a simplified hot-plate method Appl. Therm. Eng. 29 8-9 2009 1818 1824
39. S. Chudzik Measuring system with a dual needle probe for testing the parameters of heat-insulating materials Measure. Sci. Technol. 22 7 2011 1 10
40. C. Balaji, and T. Padhi A new ANN driven MCMC method for multi-parameter estimation in two-dimensional conduction with heat generation Int. J. Heat Mass Transfer 53 23-24 2010 5440 5455
41. S. Ghosh, D.K. Pratihar, B. Miati, and P.K. Das Inverse estimation of internal heat source in conduction Inverse Prob. Sci. Eng. 19 3 2011 337 361
42. M. Raudensky, J. Horsky, and J. Krejsa Usage of neural network for coupled parameter and function specification inverse heat conduction problem Int. Commun. Heat Mass Transfer 22 5 1995 661 670
43. J. Krejsa, K.A. Woodbury, J.D. Ratliff, and M. Raudensky Assessment of strategies and potential for neural networks in the IHCP Inverse Prob. Eng. 7 3 1999 197 213
44. K.A. Woodbury, Application of genetic algorithms and neural networks to the solution of inverse heat conduction problems: a tutorial, inverse problems in engineering: theory and practice, in: Proceedings of the 4th International Conference on Inverse Problems in Engineering, Angra dos Reis, Brazil, May 2002.
45. E.H. Shiguemori, F.P. Harter, H.F. Campos Velho, and J.D.S. da Silva Estimation of boundary conditions in conduction heat transfer by neural networks Tend. Mat. Apl. Comput. 3 2 2002 189 195
46. E.H. Shiguemori, J.D.S. da Silva, and H.F.D. Velho Estimation of initial condition in heat conduction by neural network Inverse Prob. Sci. Eng. 12 3 2004 317 328 (Pubitemid 38357349)
47. B. Czél, and Gy. Gróf Inverse heat conduction parameter identification by genetic algorithm based method ICHMT Digital Lib. 13 1 2008 10.1615/ICHMT.2008.CHT.1700
48. N. Lopes, and B. Ribeiro An efficient gradient-based learning algorithm applied to neural networks with selective actuation neurons Neural Parallel Sci. Comput. 11 2003 253 27 (Pubitemid 37141689)