Universal Journal of Physics and Application Vol. 8(6), pp. 268 - 283
DOI: 10.13189/ujpa.2014.020602
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Semiempirical Method for Temperature Determination in a High-Pressure Chamber at Nonstationary Heating Regimes and a New Facet of the Newtonian Law of Cooling

N. A. Nikolaev ^*
Vereshchagin Institute for High Pressure Physics Russian Academy of Sciences (HPPI RAS), Moscow, Troitsk, Kaluzhskoeshosse, str. 14, 142190, Russia

ABSTRACT

Experimental data and model calculations of the temperature behavior in high-pressure chambers upon stepped changes in the heating power are presented. A variant of formulation of the Newtonian law of cooling corresponding to specific cooling (or heating) conditions of samples in a reactionary cell of the high-pressure chamber is proposed. A semiempirical formula for temperature determination in a reaction cell of the chamber at nonstationary heating regimes set by a programmed power supply is obtained. This formula takes into account thermal inertia of the cell within the framework of the proposed τ approximation. The formula obtained is compared with the Duhamel integral. Examples of application of the method are presented.

KEYWORDS
High Pressures, High Temperatures, Nonstationary Heating, Newtonian Law of Cooling, Fourier Law, Duhamel Integral

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] N. A. Nikolaev , "Semiempirical Method for Temperature Determination in a High-Pressure Chamber at Nonstationary Heating Regimes and a New Facet of the Newtonian Law of Cooling," Universal Journal of Physics and Application, Vol. 8, No. 6, pp. 268 - 283, 2014. DOI: 10.13189/ujpa.2014.020602.

(b). APA Format:
N. A. Nikolaev (2014). Semiempirical Method for Temperature Determination in a High-Pressure Chamber at Nonstationary Heating Regimes and a New Facet of the Newtonian Law of Cooling. Universal Journal of Physics and Application, 8(6), 268 - 283. DOI: 10.13189/ujpa.2014.020602.