МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ ПРОЦЕССОВ ТЕПЛОПЕРЕНОСА ПРИ РАБОТЕ ТЕПЛОНАСОСНЫХ СИСТЕМ ИСПОЛЬЗОВАНИЯ ГЕОТЕРМАЛЬНОЙ ЭНЕРГИИ

Translated title of the contribution: Mathematical modeling of heat transfer by operation of geothermal heat pumps

Research output: Contribution to journalArticle

Abstract

The relevance. The use of heat pumps to provide heat instead of traditional systems, which get energy from the burning of different fos& sil fuel kinds, has a number of environmental and economic benefits. Heat pumps can use air, ground, and water as an energy source. They can be used for various applications: hot water supply, air conditioning, heating and cooling water for different uses, air drying/dehu& midification, vapor production, evaporation, and distillation. By the use of natural water surface (lakes, ponds, reservoirs) as a low&po& tential heat source for heat pump, ice can be formed on the evaporator pipe surface. It is important to study the heat exchange charac& teristics between the water and the evaporator pipe undergoing ice formation on its surface. The main aim of the research is mathematical modeling for non&stationary convective heat exchange between the water and the heat pump evaporator pipes under the conditions of ice formation on their surface. The object of the research is the heat pump evaporator heat exchanger which is surrounded by water. The methods of the research are numerical solutions for convective heat transfer problem under the conditions of the water phase change by the use of the finite element method in COMSOL environment. Results. The authors have established the unsteady convective heat transfer laws near the water source heat pump evaporator pipes with the temperature under water freezing point. In calculations of the heat flux and ice thickness growth rate on the surface of heat pump evaporator pipe, the natural convection in water effect must not be ignored. The authors obtained the dependence of Nusselt number on the natural convection heat exchange characteristics undergoing a phase change (Rayleigh, Fourier and Stefan numbers). It is revea& led that the drop rate in water temperature around the pipe increases with the decrease of its depth from the surface of the water source for water temperatures values higher than 277 K. For water temperatures lower than 277 K, the heat flux is maximum around the pipe, which is located deeper.

Original languageRussian
Pages (from-to)126-135
Number of pages10
JournalBulletin of the Tomsk Polytechnic University, Geo Assets Engineering
Volume330
Issue number4
DOIs
Publication statusPublished - 1 Jan 2019

Fingerprint

Geothermal heat pumps
heat transfer
Heat transfer
pipe
Water
Evaporators
modeling
Pipe
Pumps
Ice
water
water temperature
ice
heat flux
convection
Natural convection
heat pump
Hot Temperature
Heat flux
air conditioning

ASJC Scopus subject areas

  • Materials Science (miscellaneous)
  • Fuel Technology
  • Geotechnical Engineering and Engineering Geology
  • Waste Management and Disposal
  • Economic Geology
  • Management, Monitoring, Policy and Law

Cite this

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title = "МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ ПРОЦЕССОВ ТЕПЛОПЕРЕНОСА ПРИ РАБОТЕ ТЕПЛОНАСОСНЫХ СИСТЕМ ИСПОЛЬЗОВАНИЯ ГЕОТЕРМАЛЬНОЙ ЭНЕРГИИ",
abstract = "The relevance. The use of heat pumps to provide heat instead of traditional systems, which get energy from the burning of different fos& sil fuel kinds, has a number of environmental and economic benefits. Heat pumps can use air, ground, and water as an energy source. They can be used for various applications: hot water supply, air conditioning, heating and cooling water for different uses, air drying/dehu& midification, vapor production, evaporation, and distillation. By the use of natural water surface (lakes, ponds, reservoirs) as a low&po& tential heat source for heat pump, ice can be formed on the evaporator pipe surface. It is important to study the heat exchange charac& teristics between the water and the evaporator pipe undergoing ice formation on its surface. The main aim of the research is mathematical modeling for non&stationary convective heat exchange between the water and the heat pump evaporator pipes under the conditions of ice formation on their surface. The object of the research is the heat pump evaporator heat exchanger which is surrounded by water. The methods of the research are numerical solutions for convective heat transfer problem under the conditions of the water phase change by the use of the finite element method in COMSOL environment. Results. The authors have established the unsteady convective heat transfer laws near the water source heat pump evaporator pipes with the temperature under water freezing point. In calculations of the heat flux and ice thickness growth rate on the surface of heat pump evaporator pipe, the natural convection in water effect must not be ignored. The authors obtained the dependence of Nusselt number on the natural convection heat exchange characteristics undergoing a phase change (Rayleigh, Fourier and Stefan numbers). It is revea& led that the drop rate in water temperature around the pipe increases with the decrease of its depth from the surface of the water source for water temperatures values higher than 277 K. For water temperatures lower than 277 K, the heat flux is maximum around the pipe, which is located deeper.",
keywords = "Ice formation, Low&potential heat source, Natural convection, Phase change, Water source heat pump",
author = "Maksimov, {Vyacheslav I.} and Amer Saloum",
year = "2019",
month = "1",
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doi = "10.18799/24131830/2019/4/229",
language = "Русский",
volume = "330",
pages = "126--135",
journal = "Bulletin of the Tomsk Polytechnic University, Geo Assets Engineering",
issn = "2500-1019",
publisher = "Tomsk Polytechnic University",
number = "4",

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T1 - МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ ПРОЦЕССОВ ТЕПЛОПЕРЕНОСА ПРИ РАБОТЕ ТЕПЛОНАСОСНЫХ СИСТЕМ ИСПОЛЬЗОВАНИЯ ГЕОТЕРМАЛЬНОЙ ЭНЕРГИИ

AU - Maksimov, Vyacheslav I.

AU - Saloum, Amer

PY - 2019/1/1

Y1 - 2019/1/1

N2 - The relevance. The use of heat pumps to provide heat instead of traditional systems, which get energy from the burning of different fos& sil fuel kinds, has a number of environmental and economic benefits. Heat pumps can use air, ground, and water as an energy source. They can be used for various applications: hot water supply, air conditioning, heating and cooling water for different uses, air drying/dehu& midification, vapor production, evaporation, and distillation. By the use of natural water surface (lakes, ponds, reservoirs) as a low&po& tential heat source for heat pump, ice can be formed on the evaporator pipe surface. It is important to study the heat exchange charac& teristics between the water and the evaporator pipe undergoing ice formation on its surface. The main aim of the research is mathematical modeling for non&stationary convective heat exchange between the water and the heat pump evaporator pipes under the conditions of ice formation on their surface. The object of the research is the heat pump evaporator heat exchanger which is surrounded by water. The methods of the research are numerical solutions for convective heat transfer problem under the conditions of the water phase change by the use of the finite element method in COMSOL environment. Results. The authors have established the unsteady convective heat transfer laws near the water source heat pump evaporator pipes with the temperature under water freezing point. In calculations of the heat flux and ice thickness growth rate on the surface of heat pump evaporator pipe, the natural convection in water effect must not be ignored. The authors obtained the dependence of Nusselt number on the natural convection heat exchange characteristics undergoing a phase change (Rayleigh, Fourier and Stefan numbers). It is revea& led that the drop rate in water temperature around the pipe increases with the decrease of its depth from the surface of the water source for water temperatures values higher than 277 K. For water temperatures lower than 277 K, the heat flux is maximum around the pipe, which is located deeper.

AB - The relevance. The use of heat pumps to provide heat instead of traditional systems, which get energy from the burning of different fos& sil fuel kinds, has a number of environmental and economic benefits. Heat pumps can use air, ground, and water as an energy source. They can be used for various applications: hot water supply, air conditioning, heating and cooling water for different uses, air drying/dehu& midification, vapor production, evaporation, and distillation. By the use of natural water surface (lakes, ponds, reservoirs) as a low&po& tential heat source for heat pump, ice can be formed on the evaporator pipe surface. It is important to study the heat exchange charac& teristics between the water and the evaporator pipe undergoing ice formation on its surface. The main aim of the research is mathematical modeling for non&stationary convective heat exchange between the water and the heat pump evaporator pipes under the conditions of ice formation on their surface. The object of the research is the heat pump evaporator heat exchanger which is surrounded by water. The methods of the research are numerical solutions for convective heat transfer problem under the conditions of the water phase change by the use of the finite element method in COMSOL environment. Results. The authors have established the unsteady convective heat transfer laws near the water source heat pump evaporator pipes with the temperature under water freezing point. In calculations of the heat flux and ice thickness growth rate on the surface of heat pump evaporator pipe, the natural convection in water effect must not be ignored. The authors obtained the dependence of Nusselt number on the natural convection heat exchange characteristics undergoing a phase change (Rayleigh, Fourier and Stefan numbers). It is revea& led that the drop rate in water temperature around the pipe increases with the decrease of its depth from the surface of the water source for water temperatures values higher than 277 K. For water temperatures lower than 277 K, the heat flux is maximum around the pipe, which is located deeper.

KW - Ice formation

KW - Low&potential heat source

KW - Natural convection

KW - Phase change

KW - Water source heat pump

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