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Mathematical Modeling of the Errors of Measurements of the Thermal Properties of Insulating Material by the Plane “Instantaneous” Heat Source Method

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Measurement Techniques Aims and scope

An algorithm for the simulation modeling of the errors in measuring the properties of heat-insulating materials is developed, based on the use of a mathematical model of the temperature field in a plane sample of the material. A procedure for processing the experimental data is considered, and recommendations are made on the choice of the optimum conditions for using this procedure.

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References

  1. E. S. Platunov (ed.) et al., Thermal Measurements and Instruments, Mashinostroenie, Leningrad (1986).

  2. A. G. Shashkov et al., Methods of Determining Thermal Conductivity and Thermal Diffusivity, A. V. Lykov (ed.), Energiya, Moscow (1973).

  3. A. V. Gurov and S. V. Ponomarev, “Analysis of the sources of error when measuring the thermal properties of solid insulating materials by the plane “instantaneous” heat source method”, in: Problems of Modern Science and Practice, Univ. im V. I. Vernadskogo, No. 1 (45), 273–282 (2013).

  4. S. V. Ponomarev (ed.) et al., Theoretical and Practical Principles of Thermal Measurements: A Monograph, FIZMATLIT, Moscow (2008).

  5. E. S. Platunov (ed.) et al., Thermal Measurements: A Student Textbook, SPbGUNiPT, St. Petersburg (2010).

  6. S. V. Ponomarev, S. N. Mochalin, and G. V. Shishkina, Patent No. 2436066 RF, “A method of measuring the diffusion coefficient of moisture in capillary-porous sheet materials”, Izobret. Polezn. Modeli, No. 34 (2011).

  7. M. P. Belyaev and V. P. Belyaev, “Nondestructive express monitoring of the diffusion coefficient of polar solvents in thin articles”, Vestnik TGTU, 14, No. 1, 41–47 (2008).

    Google Scholar 

  8. S. N. Molchalin, I. N. Isaev, and S. V. Ponomarev, “The choice of the optimum conditions for measuring the moisture transfer characteristics of thin-sheet capillary-porous materials by the “instantaneous” moisture source method”, Vestn. TGTU, 16, No. 3, 533–545 (2010).

    Google Scholar 

  9. P. S. Belyaev and S. V. Mishchenko, Heat and Mass Transfer in Polymer Materials with a Porous Structure. Monitoring Methods and Instruments, Mashinostroenie, Moscow (2000).

    Google Scholar 

  10. S. N. Mochalin and S. V. Ponomarev, Measurement of the Moisture Transfer Characteristics of Thin-Sheet Capillary-Porous Materials by the “Instantaneous” Moisture Source Method: A Monograph, Spektr, Moscow (2010).

    Google Scholar 

  11. A. V. Gurov et al., “The choice of the optimum conditions for measuring the thermal properties of materials by the plane “instantaneous” heat source method”, Izmer. Tekhn., No. 10, 47–49 (2012); Measur. Technn., 55, No. 10, 1187–1192 (2012).

  12. A. V. Gurov, “Experimental equipment for measuring the thermal properties of insulating materials by the plane “instantaneous” heat source method”, Metrologiya, No. 4, 16–24 (2013).

  13. S. V. Ponomarev et al., “Recommendations on the development of a procedure for introducing corrections for systematic errors when measuring the thermal properties of materials”, Metrologiya, No. 10, 38–47 (2013).

  14. A. V. Gurov and S. V. Ponomarev, Measurement of the Thermal Properties of Insulation Materials by the Plane “Instantaneous” Heat Source Method, Izd. TGTU, Tambov (2013).

    Google Scholar 

  15. B. P. Demidovich, I. A. Haron, and E. Z. Shuvalova, Numerical Methods of Analysis. Approximation of Functions, Differential and Integral Equations, Nauka, Moscow (1962).

    Google Scholar 

  16. G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers, McGraw-Hill, New York (1968).

    Google Scholar 

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Correspondence to S. V. Ponomarev.

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Translated from Metrologiya, No. 9, pp. 23–35, September, 2014.

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Ponomarev, S.V., Egorov, M.V. & Lyubimova, D.A. Mathematical Modeling of the Errors of Measurements of the Thermal Properties of Insulating Material by the Plane “Instantaneous” Heat Source Method. Meas Tech 57, 1167–1174 (2015). https://doi.org/10.1007/s11018-015-0597-2

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  • DOI: https://doi.org/10.1007/s11018-015-0597-2

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