Modares Mechanical Engineering

Modares Mechanical Engineering

Identification of thermal properties of polymer insulations using inverse analysis; zirconia ceramic foam

Authors
Zeinab Shabanpour 1
Koorosh Goudarzi 2
1 Department of Mechanical Engineering, Yasouj University
2 Mechanical Engineering, Yasouj University
Abstract
In recent years, the use of insulation polymers in various fields has expanded. Therefore, Considering the importance and application of these polymers in various industries, their behavioral characteristics, including thermal properties evaluating their performance and the optimized and efficient use of them is necessary. The study also estimates that radiant and conductive properties of zirconia ceramic foam as an insulating polymer using inverse heat transfer method are discussed. Heat transfer method used in this paper is conjugate gradient method. The control volume numerical methods for solving the energy and radiation are used. The problem of inverse heat transfer is solved for estimation of radiation-conduction parameters by considering two modes, single sensors and two sensors and taking into account different initial guesses. For solving the inverse problem, the data used for direct solving are used and by entering some error, these data are used in the inverse solution. The results show that conjugate gradient algorithm for calculating the properties of radiative and conductive thermal insulation polymer gives acceptable results and also with the increasing number of sensors, parameters are estimated accurately using the conjugate gradient algorithm increases.
Keywords
Polymer insulations
Radiation
Inverse analysis
Conjugate gradient
[1] E. Placido, M. C. Arduini-Schuster, J. Kuhn, Thermal properties predictive model for insulating foams, Infrared Physics & Technology, Vol. 46, pp. 219–231, 2005.
[2] R. Coquard, D. Baillis, D. Quenard, Experimental and theoretical study of the hot-ring method applied to low-density thermal insulators, International Journal of Thermal Sciences Vol. 47, No. 3, pp. 324–338, 2008.
[3] M. Loretz, R. Coquard, D. Baillis, E. Maire, Metallic foams: Radiative properties/comparison between different models, Quantitative Spectroscopy and Radiative Transfer, Vol. 109, No. 1, pp. 16-27, 2008.
[4] W. Huijun, F. Jintu, Measurement of radiative thermal properties of thin polymer films by FTIR, Polymer Testing, Vol. 27, pp. 122–128, 2008.
[5] R. Coquard, D. Baillis, D. Quenard, Radiative properties of expanded polystyrene foams, Journal of Heat Transfer, Vol. 131, No. 1, pp. 012702-1– 012702-10, 2009.
[6] A. Kaemmerlen, C. Vo, F. Asllanaj, G. Jeandel, D. Baillis, Radiative properties of extruded polystyrene foams: Predictive model and experimental results, Journal of Quantitative Spectroscopy & Radiative Transfer, Vol. 111, pp. 865–877, 2010.
[7] J. J. Zhao, Y. Y. Duan, X. D. Wangb, B. X. Wang, Radiative properties and heat transfer characteristics of fiber-loaded silica aerogel composites for thermal insulation, Journal of Heat and Mass Transfer, Vol. 55, pp. 5196– 5204, 2012.
[8] W. Gaosheng, L. Yusong, X. Zhang, X. Du, Radiative heat transfer study on silica aerogel and its composite insulation materials, Journal of NonCrystalline Solids, Vol. 362, pp. 231–236, 2013.
[9] R. Coquard, J. Randrianalisoa, D. Baillis, Computational prediction of radiative properties of polymer closed-cell foams with random structure, Journal of Porous Media, Vol. 16, No. 2, pp. 137–154, 2013.
[10] H. T. Yu, D. Liu, Y. Y. Duan, X. D. Wang, Theoretical model of radiative transfer in opacified aerogel based on realistic microstructures, International Journal of Heat and Mass Transfer, Vol. 70, pp. 478–485, 2014.
[11] K. Pietrak, S. Wi´sniewski, A review of models for effective thermal conductivity of composite materials, Journal of Power Technologies, Vol. 95, No. 1, pp. 14–24, 2015.
[12] Y. Zhao, G. H. Tang, M. Du, Numerical study of radiative properties of nanoporous silica aerogel, International Journal of Thermal Sciences, Vol. 89, pp. 110-120, 2015.
[13] F. Tairan, T. Jiaqi, C. Kai, F. Zhang, Determination of scattering and absorption coefficients of porous silica aerogel composites, Journal of Heat Transfer, Vol. 138, No. 3, pp. 702-709, 2016.
[14] T. Feng, P. Edstrom, M. Gulliksson, Levenberg–Marquardt methods for parameter estimation problems in the radiative transfer equation, Inverse Problems, Vol. 23, pp. 879–891, 2007.
[15] S. Y. Zhao, B. M. Zhang, S. Y. Du, X. D. He, Inverse identification of thermal properties of fibrous insulation from transient temperature measurements, Journal of Thermophysics, Vol. 30, pp. 2021–2035, 2009.
[16] N. Daouas, M. S. Radhouani, Efficient inverse estimation tool for radiative and conductive properties of insulating foams based on transient hot-wire measurements, Journal of High Temperatures-High Pressures, Vol. 40, pp. 1–29, 2010.
[17] R. Coquard, D. Rochais, D. Baillis, Experimental investigations of the coupled conductive and radiative heat transfer in metallic/ceramic foams, International Journal of Heat and Mass Transfer, Vol. 52, pp. 4907–4918, 2009.
[18] M. F. Modest, Radiative Heat Transfer, Second Edittion, pp. 9.274-9.278, New York: Diane Grossman, 2003.
[19] W. A. Fiveland, Discrete-Ordinates solutions of the radiative transport equation for rectangular enclosures, Journal of Heat Transfer, Vol. 106, pp. 699-706, 1984.
[20] M. N. Ozisik, H. R. B. Orlande, Inverse Heat Transfer Fundamentals and Applications, pp. 2.58-2.76, New York: Taylor & Francis, 2000.
Modares Mechanical Engineering
Volume 18, Issue 1
March 2018
Pages 327-334