The temperature and pressure jumps at the vapor-liquid interface: Application to a two-phase cooling system

Elizaveta Ya Gatapova, Irina A. Graur, Felix Sharipov, Oleg A. Kabov

Результат исследований: Материалы для журналаСтатья

18 Цитирования (Scopus)

Выдержка

The temperature and pressure jump boundary conditions at the liquid-vapor interfaces, obtained from the kinetic theory, are implemented for the numerical simulation of two-surfaces problem of evaporation and condensation. For a small temperature difference between two interfaces the system of the Navier-Stokes equations (NS) together with the energy conservation equation and the linear approximation of these equations with the same jump boundary conditions are considered in the vapor phase. The numerical and analytical solutions are compared with that obtained previously from the linearized kinetic equation. The analytical temperature profiles derived from the both linearized systems are very close to each other, while the temperature distribution obtained from the full NS and energy equations has an absolutely different character. The velocity and pressure in the vapor phase are found to be constant, though the full NS and energy equations solution gives abrupt change of velocity near the condensation interface. The inverse temperature gradient phenomenon occurs for the considered small temperature difference. The solution in the vapor phase is then applied to a coupled two-phase system problem, which can be realized in a heat-transfer device combining the principles of both thermal conductivity and phase transition. The coupled two-sided (liquid and vapor) model with jump boundary conditions proposed here allows us to estimate the values of the evaporative mass flux and the heat flux, which can be removed from a heat source.

Язык оригиналаАнглийский
Страницы (с-по)235-243
Число страниц9
ЖурналInternational Journal of Heat and Mass Transfer
Том83
DOI
СостояниеОпубликовано - 1 янв 2015

Отпечаток

liquid-vapor interfaces
cooling systems
Cooling systems
Navier-Stokes equation
temperature gradients
Vapors
boundary conditions
vapor phases
Navier Stokes equations
Liquids
condensation
Boundary conditions
binary systems (materials)
conservation equations
energy conservation
heat sources
Condensation
kinetic theory
kinetic equations
temperature profiles

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

Цитировать

The temperature and pressure jumps at the vapor-liquid interface : Application to a two-phase cooling system. / Gatapova, Elizaveta Ya; Graur, Irina A.; Sharipov, Felix; Kabov, Oleg A.

В: International Journal of Heat and Mass Transfer, Том 83, 01.01.2015, стр. 235-243.

Результат исследований: Материалы для журналаСтатья

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AU - Sharipov, Felix

AU - Kabov, Oleg A.

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AB - The temperature and pressure jump boundary conditions at the liquid-vapor interfaces, obtained from the kinetic theory, are implemented for the numerical simulation of two-surfaces problem of evaporation and condensation. For a small temperature difference between two interfaces the system of the Navier-Stokes equations (NS) together with the energy conservation equation and the linear approximation of these equations with the same jump boundary conditions are considered in the vapor phase. The numerical and analytical solutions are compared with that obtained previously from the linearized kinetic equation. The analytical temperature profiles derived from the both linearized systems are very close to each other, while the temperature distribution obtained from the full NS and energy equations has an absolutely different character. The velocity and pressure in the vapor phase are found to be constant, though the full NS and energy equations solution gives abrupt change of velocity near the condensation interface. The inverse temperature gradient phenomenon occurs for the considered small temperature difference. The solution in the vapor phase is then applied to a coupled two-phase system problem, which can be realized in a heat-transfer device combining the principles of both thermal conductivity and phase transition. The coupled two-sided (liquid and vapor) model with jump boundary conditions proposed here allows us to estimate the values of the evaporative mass flux and the heat flux, which can be removed from a heat source.

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KW - Evaporation

KW - Heat transfer enhancement

KW - Pressure jump

KW - Temperature jump

KW - Vapor-liquid interface

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