Energy Reception Using Areas with Different Phase Transition Temperature

About the authors:

Pavel T. Zubkov, Dr. Sci. (Phys.-Math.), Professor, Department of Fundamental Mathematics and Mechanics, School of Computer Sciences, University of Tyumen, Tyumen, Russia

Eduard I. Narygin, Postgraduate Student, Department of Fundamental Mathematics and Mechanics, University of Tyumen; e.i.narygin@yandex.ru

Abstract:

This article describes a numerical study of the temperature waves in rectangular, cylindrical and spherical areas. This work discusses the areas, in which the phase transition between the liquid and solid phases is possible, and the coefficients of thermal conductivity are significantly different for the liquid and solid phases. Time-periodic boundary conditions have been applied for all problems. Algorithm CONDUCT and enthalpy method are used for numerical solution of the problem. Phase transition has the effect on temperature inside area. After a large number of periods of the initial conditions will not affect the value of the temperature, and the temperature will have the same period as the temperature at the boundary, and the amplitude will decrease with depth. The points, which are far away from the boundary, have a constant temperature lower than the average for the period of temperature on the boundary. We found the dependence of temperature in the center of the areas of the phase transition temperature for different values of the latent heat of fusion. Combining the two plates, two cylinders, two spheres with different phase transition temperatures, we obtained a non-zero average heat flow for the period. Combining this with thermoelectric effect we received an energy source.

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