Scientific approaches to solving the problem of joint processes of bubble boiling of freon and its movement in a coil

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Abstract

The combined processes of nucleate boiling and refrigerant movement in the tubes of a heat pump are considered. A coil located on the back side of the photovoltaic panel (PV) is used as an additional heating surface. A mathematical model has been created to theoretically determine the temperature on the front surface of a solar cell cooled by freon in a coil from the rear side. A peculiarity of the numerical modeling of nucleate boiling of freon in a coil was the insufficiently detailed study of the process and the lack of references to the results obtained in earlier works. The boundary conditions and assumptions in the numerical modeling of the process of nucleate boiling of freon R407C are clarified, the results are compared with the theoretically found values, which are subsequently used in the design of an energy technology complex consisting of a heat pump and a photovoltaic panel. A mathematical model for theoretical calculation of PV temperature and a methodology for constructing a numerical model of nucleate boiling of freon as part of the methodology for designing energy technology complexes based on renewable energy sources are presented for the first time.

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About the authors

A. A. Kovalev

Federal State Autonomous Educational Institution of Higher Education “South Ural State University (National Research University)”

Email: korniakovaoi@susu.ru
Russian Federation, Chelyabinsk

Ya. S. Bolkov

Federal State Autonomous Educational Institution of Higher Education “South Ural State University (National Research University)”

Email: korniakovaoi@susu.ru
Russian Federation, Chelyabinsk

K. V. Osintsev

Federal State Autonomous Educational Institution of Higher Education “South Ural State University (National Research University)”

Email: korniakovaoi@susu.ru
Russian Federation, Chelyabinsk

O. Yu. Kornyakova

Federal State Autonomous Educational Institution of Higher Education “South Ural State University (National Research University)”

Author for correspondence.
Email: korniakovaoi@susu.ru
Russian Federation, Chelyabinsk

References

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Supplementary files

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2. Fig. 1. The designed experimental setup.

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3. Fig. 2. The heat pump cycle on the ln(P)-i diagram.

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4. Fig. 3. (a) Emulsion flow regime of the vapor-liquid mixture; (b) Fraction of the liquid phase in the tube cross-section; (c) Annular flow regime (steam inside the liquid); (d) Dispersed flow regime (droplets inside the vapor).

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5. Fig. 4. Block diagram of calculation using the Gauss method.

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6. Fig. 5. Dependence of the wall temperature of the solar tube on the ambient temperature and wind speed.

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7. Fig. 6. (a) Geometry of the evaporator model; (b) Mesh structure of the evaporator tube.

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8. Fig. 7. (a) Fluctuations in the residuals of the dispersion-annular flow regime; (b) Convergence of the degree of dryness at the outlet of the evaporator; (c) Mixing of the vapor-liquid mixture; (d) Temperature field; (d) Proportion of steam in volume.

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