DETERMINATION OF THE TEMPERATURE DEPENDENCE OF THE HEAT CAPACITY OF LIQUIDS BY THERMOHYDRODYNAMIC METHOD
A.N. Jafarova, A.A. Hadiyeva
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ABSTRACT

The determination of the temperature dependence of the heat capacity of liquids based on the thermohydrodynamic method was studied in this article theoretically and mathematically. The problem of determining the temperature dependence of the isobaric heat capacity in the study was reduced to the solution of the inverse problem for a nonlinear special derivative differential equation. In order to reduce the complexity of the analytical solution, the mathematical model was simplified and approximate solution methods were developed for special cases, taking into account the effects of various external physical fields - a constant electric field and acoustic waves. Formulas were obtained for determining the nonlinearity coefficient characterizing the dependence of the heat capacity on temperature by applying the “fork” method under conditions of monotonic heating of a liquid in an unsteady temperature field. The results show that as the intensity of external physical fields increases, the nonlinearity criterion increases proportionally. The proposed approach creates a theoretical basis for controlling and optimizing processes in the oil, chemical and thermal power industries.

Keywords: liquid, heat capacity, temperature, electric field, acoustic wave.
DOI:10.70784/azip.1.2025350

Received: 04.09.2025
Internet publishing: 19.09.2025    AJP Fizika E 2025 03 en p.50-52

AUTHORS & AFFILIATIONS

Azerbaijan State Oil and Industry University, Az-1010, Baku, Azadliq ave 20, Azerbaijan
E-mail: aynur.cafarova@asoiu.edu.az

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