Experimental thermograms obtained on samples of different shapes and sizes under spontaneous cooling, pulsed resistive heating, or laser surface heating of the solid phase of high-temperature metals are analyzed. It is shown that all the thermograms can be ascribed to a linear thermodynamic regime. A linear dependence of the entropy production density on the rate of variation of the temperature is found on analyzing the thermograms. This means that the rate of variation in the temperature can be regarded as an additional variable for the entropy production density in the linear regime and can be used for representing properties measured in a nonstationary thermal regime.
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References
W. J. Parker, R. J. Jenkius, C. H. Butler, and G. L Abbott, “Flash method of determining thermal diffusivity, heat capacity and thermal conductivity,” J. Appl. Phys., 32, No. 9, 1679–1784 (1961).
A. Cezairliyan and J. L. McClure, “A Microsecond-resolution transient technique for measuring the heat of fusion of metals: niobium,” Int. J. Thermophys., 8, No. 5, 577–589 (1987).
G. M. Kondrat’ev, Regular Thermal Regime, Gostekhizdat, Moscow (1954).
Y. S. Touloukian (ed.), Thermophysical Properties of High Temperature Solid Materials, Macmillan Company, NY, Collier-Macmillan Ltd., London (1967).
V. S. Chirkin, Thermal Properties of Nuclear Technology Materials, Atomizdat, Moscow (1968).
A. V. Lykov, Theory of Thermal Conductivity, Vysshaya Shkola, Moscow (1967).
L. P. Filippov, Measurement of the Thermal Properties of Solid and Liquid Metals at High Temperatures, Izd. MGU, Moscow (1967).
I. Prigozhin and D. Condepudi, Modern Thermodynamics from Heat Motors to Dissipative Structures [Russian translation], Mir, Moscow (2002).
S. I. Serdyukov, “Higher order equations of heat and mass transfer and their justification in extended nonequilibrium thermodynamics,” Teor. Osn. Khim. Tekhnol., 47, No. 2, 122–138 (2013).
S. R. De Groot and P. Mazur, Non-Equilibrium Thermodynamics, Dover, New York (1984).
J. Fort and J. E. Llebot, “Radiative transfer in the framework of extended irreversible thermodynamics,” J. Phys. A: Math. Gen., 29, 3427–3436 (1996).
I. Müller and T. Ruggeri, Extended Thermodynamics, Springer, Berlin (1992).
A. V. Kostanovskiy and M. E. Kostanovskaya, “Nonequilibrium thermodynamic conditions and properties of materials,” Izmer. Tekhn., No. 11, 41–46 (2008).
A. E. Sheindlin (ed.), Radiative Properties of Solid Materials: Handbook, Energiya, Moscow (1974).
A. V. Kostanovskiy and M. E. Kostanovskaya, “Determining the limits of applicability of the parabolic heat transfer equation,” Izmer. Tekhn., No. 6, 38–42 (2008).
V. P. Isachenko, V. A. Osipova, and A. S. Sukomel, Heat Transfer, Energiya, Moscow (1975).
A. V. Kostanovskiy and M. E. Kostanovskaya, “The role of heat flux in the nonsteady thermal problem of molybdenum sphere cooling in an electrostatic levitation experiment,” High Temp., 55, No. 6, 866–869 (2017).
A. V. Kostanovskiy and M. E. Kostanovskaya, “Thermodynamic application of the electrostatic levitation method,” Izmer. Tekhn., No. 9, 34–37 (2012).
E. I. Asinovskii and A. V. Kirillin, Nontraditional Methods for Studying the Thermodynamic Properties of Substances at High Temperatures, Yanus-K, Moscow (1997).
P.-F. Paradis and W. K. Rhim, “Non-contact measurements of thermophysical properties of titanium at high temperature,” J. Chem. Thermodyn., 32, No. 1, 123–133 (2000).
E. Kaschnitz and P. Reiter, “Enthalpy and temperature of the titanium alpha-beta phase transformation,” Int. J. Thermophys., 23, No. 4, 1339–1345 (2002).
P.-F. Paradis, T. Ishikawa, and N. Koike, “Thermophysical property measurements of liquid and supercooled cobalt,” HTHP, 37, 5–11 (2008).
E. Kaschnitz and A. Cezairliyan, “Radiance temperatures at 1500 nm of niobium and molybdenum at their melting points by a pulse-heating technique,” Int. J. Thermophys., 17, No. 5, 1069–1078 (1996).
A. Cezairliyan and J. L. McClure, “A microsecond-resolution transient technique for measuring the heat of fusion of metals: niobium,” Int. J. Thermophys., 8, No. 5, 577 (1987).
P.-F. Paradis, T. Ishikawa, and S. Yoda, “Noncontact measurements of thermophysical properties of molybdenum at high temperatures,” Int. J. Thermophys., 23, No. 2, 555–568 (2002).
P.-F. Paradis, T. Ishikawa, R. Fujii, and S. Yoda, “Thermophysical properties of molten tungsten measured with an electrostatic levitator,” Heat Transfer, 35, No. 2, 152–164 (2006).
M. A. Sheindlin and V. N. Senchenko, “Apparatus for comprehensive study of the thermodynamic properties of substances using pulsed heating by high density currents,” Teplofiz. Vys. Temp., 25, No. 2, 369–375 (1987).
L. S. Dubrovinsky and S. K. Saxena, “A thermal characteristic of melting in laser heating at high pressure,” HTHP, 31, 385–391 (1999).
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Translated from Izmeritel’naya Tekhnika, No. 1, pp. 52–57, January, 2019.
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Kostanovskiy, A.V., Kostanovskaya, M.E. Dependence of Entropy Production Density on the Rate of Temperature Change in Linear Thermodynamics. Meas Tech 62, 64–70 (2019). https://doi.org/10.1007/s11018-019-01587-0
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DOI: https://doi.org/10.1007/s11018-019-01587-0