Identification of basic thermal technical characteristics of building materials

Stanislav Šťastník; Jiří Vala; Hana Kmínová

Kybernetika (2007)

  • Volume: 43, Issue: 4, page 561-576
  • ISSN: 0023-5954

Abstract

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Modelling of building heat transfer needs two basic material characteristics: heat conduction factor and thermal capacity. Under some simplifications these two factors can be determined from a rather simple equipment, generating heat from one of two aluminium plates into the material sample and recording temperature on the contacts between the sample and the plates. However, the numerical evaluation of both characteristics leads to a non-trivial optimization problem. This article suggests an efficient numerical algorithm for its solution, based on the weak formulation of certain initial and boundary problem for the heat transfer equation, on the classical Fourier analysis and on the Newton iterative method, and demonstrates its practical application.

How to cite

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Šťastník, Stanislav, Vala, Jiří, and Kmínová, Hana. "Identification of basic thermal technical characteristics of building materials." Kybernetika 43.4 (2007): 561-576. <http://eudml.org/doc/33880>.

@article{Šťastník2007,
abstract = {Modelling of building heat transfer needs two basic material characteristics: heat conduction factor and thermal capacity. Under some simplifications these two factors can be determined from a rather simple equipment, generating heat from one of two aluminium plates into the material sample and recording temperature on the contacts between the sample and the plates. However, the numerical evaluation of both characteristics leads to a non-trivial optimization problem. This article suggests an efficient numerical algorithm for its solution, based on the weak formulation of certain initial and boundary problem for the heat transfer equation, on the classical Fourier analysis and on the Newton iterative method, and demonstrates its practical application.},
author = {Šťastník, Stanislav, Vala, Jiří, Kmínová, Hana},
journal = {Kybernetika},
keywords = {building heat transfer; PDEs of evolution; inverse problems; Fourier method; Newton iterations; incertainties in laboratory measurements; inverse problem; heat conduction},
language = {eng},
number = {4},
pages = {561-576},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Identification of basic thermal technical characteristics of building materials},
url = {http://eudml.org/doc/33880},
volume = {43},
year = {2007},
}

TY - JOUR
AU - Šťastník, Stanislav
AU - Vala, Jiří
AU - Kmínová, Hana
TI - Identification of basic thermal technical characteristics of building materials
JO - Kybernetika
PY - 2007
PB - Institute of Information Theory and Automation AS CR
VL - 43
IS - 4
SP - 561
EP - 576
AB - Modelling of building heat transfer needs two basic material characteristics: heat conduction factor and thermal capacity. Under some simplifications these two factors can be determined from a rather simple equipment, generating heat from one of two aluminium plates into the material sample and recording temperature on the contacts between the sample and the plates. However, the numerical evaluation of both characteristics leads to a non-trivial optimization problem. This article suggests an efficient numerical algorithm for its solution, based on the weak formulation of certain initial and boundary problem for the heat transfer equation, on the classical Fourier analysis and on the Newton iterative method, and demonstrates its practical application.
LA - eng
KW - building heat transfer; PDEs of evolution; inverse problems; Fourier method; Newton iterations; incertainties in laboratory measurements; inverse problem; heat conduction
UR - http://eudml.org/doc/33880
ER -

References

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  1. Barták J., Herrmann L., Lovicar, V., Vejvoda O., Partial Differential Equations of Evolution, Ellis Horwood, 1991 Zbl0726.35001MR1112789
  2. Bryant R., Johnsson E., Ohlemiller, T., Womeldorf C., Estimates of the uncertainty of radiative heat flux calculated from total heat flux measurements, In: Proc. 9th Interflam Conference in Edinburgh, Interscience Communications London, 2001, pp. 605–616 
  3. Carslaw H. S., Jaeger J. C., Conduction Heat in Solids, Clarendon Press, Oxford 1959 MR0959730
  4. Davies M. G., Building Heat Transfer, Wiley, New York 2004 
  5. Ellison S. R. L., Rosslein M., (eds.) A. Williams, al., Quantifying Uncertainty in Analytical Measurements, EURACHEM/CITAC Guide CG4 (2000), available at http://www.measurementuncertainty.org/mu/QUAM2000-1.pdf 
  6. Fasshauer G. E., Meshfree Methods, Handbook of Theoretical and Computational Nanotechnology (M. Rieth and W. Schommers, eds.), American Scientific Publishers, 2006, pp. 33–97; preprint available athttp://amadeus.math.iit.edu/ fass/MeshfreeNano.pdf MR2235818
  7. Ferziger J. H., Perić M., Computational Methods for Fluid Dynamics, Springer–Verlag, Berlin 2002 Zbl0998.76001MR1384758
  8. Fiedler J., Special Matrices and Their Application to Numerical Mathematics, SNTL, Prague 1981. In Czech (1981) 
  9. Greguš M., Švec, M., Šeda V., Ordinary Differential Equations, Alfa, Bratislava 1985. In Slovak (1985) 
  10. Kolmogorov A. N., Fomin S., Elements of the Theory of Functions and Functional Analysis, Nauka, Moscow 1989. In Russian (1989) Zbl0672.46001MR1025126
  11. Kmínová H., Šastník S., Analysis of uncertainties in measurements of thermal technical properties of building materials, In: Proc. 4th Mathematical Workshop in Brno, Brno University of Technology, 2005, pp. 65–66. In Czech 
  12. Kuneš J., Modelling of Thermal Processes, SNTL, Prague 1989. In Czech (1989) 
  13. Lindberg V., Uncertainties, Graphing, the Vernier Caliper, Rochester Institute of Technology 2000, available at http://www.rit.edu/ 
  14. Ralston A., A First Course in Numerical Analysis, Academia, Prague 1973. In Czech (1973) 
  15. Rektorys K., Method of Discretization in Time and Partial Differential Equations, SNTL, Prague 1985. In Czech (1985) 
  16. Riečan B., Lamoš, F., Lenárt C., Probability and Mathematical Statistics, Alfa, Bratislava 1987. In Slovak (1987) 
  17. Vala J.//Linear Spaces, Operators, Educational supports of the Faculty of Civil Engineering, Brno University of Technology 2004, available at ftp:, ftp.fce.vutbr.cz/.StudijniOpory_SI/R1S1_BA01_Matematika-I/BA01_M02.pdf In Czech 
  18. Vala J., Šastník S., On the modelling of heat propagation in buildings, Building Research Journal 52 (2004), 31–56 

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