Transient heat transfer in a rarefied binary gas mixture confined between parallel plates due to a sudden small change of wall temperatures

A.Ph. Polikarpov, Minh Tuan Ho, I. Graur

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Abstract

Transient behavior of the heat transfer through binary gas mixture, confined between two infinite parallel plates, caused by the sudden change of the plates’ temperatures, is studied for two monoatomic gas mixtures: Ne–Ar and He–Ar. The walls’ temperature changes are considered small compared to the equilibrium temperature of the system, so the McCormack kinetic model is used for the numerical simulations. The time evolution of the main macroscopic parameter is investigated for various species concentrations and for different gas rarefactions ranging from near the free molecular to slip flow regime. It is found that the mixture heat flux takes several characteristic times, which is defined by the distance between the plates over the most probable molecular speed, to achieve its new equilibrium state. This time of the steady state flow establishment depends strongly on the gas rarefaction, mixture nature and composition.
Original languageEnglish
Pages (from-to)1292-1303
Number of pages12
JournalInternational Journal of Heat and Mass Transfer
Volume101
Early online date16 Jun 2016
DOIs
Publication statusPublished - 31 Oct 2016

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wall temperature
Binary mixtures
parallel plates
Gas mixtures
binary mixtures
gas mixtures
rarefaction
heat transfer
Heat transfer
slip flow
equilibrium flow
gases
Temperature
Heat flux
heat flux
Gases
Kinetics
temperature
Computer simulation
kinetics

Keywords

  • rarefied gas
  • Boltzmann equation
  • binary mixture
  • transient heat transfer
  • wall temperature

Cite this

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title = "Transient heat transfer in a rarefied binary gas mixture confined between parallel plates due to a sudden small change of wall temperatures",
abstract = "Transient behavior of the heat transfer through binary gas mixture, confined between two infinite parallel plates, caused by the sudden change of the plates’ temperatures, is studied for two monoatomic gas mixtures: Ne–Ar and He–Ar. The walls’ temperature changes are considered small compared to the equilibrium temperature of the system, so the McCormack kinetic model is used for the numerical simulations. The time evolution of the main macroscopic parameter is investigated for various species concentrations and for different gas rarefactions ranging from near the free molecular to slip flow regime. It is found that the mixture heat flux takes several characteristic times, which is defined by the distance between the plates over the most probable molecular speed, to achieve its new equilibrium state. This time of the steady state flow establishment depends strongly on the gas rarefaction, mixture nature and composition.",
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author = "A.Ph. Polikarpov and Ho, {Minh Tuan} and I. Graur",
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TY - JOUR

T1 - Transient heat transfer in a rarefied binary gas mixture confined between parallel plates due to a sudden small change of wall temperatures

AU - Polikarpov, A.Ph.

AU - Ho, Minh Tuan

AU - Graur, I.

PY - 2016/10/31

Y1 - 2016/10/31

N2 - Transient behavior of the heat transfer through binary gas mixture, confined between two infinite parallel plates, caused by the sudden change of the plates’ temperatures, is studied for two monoatomic gas mixtures: Ne–Ar and He–Ar. The walls’ temperature changes are considered small compared to the equilibrium temperature of the system, so the McCormack kinetic model is used for the numerical simulations. The time evolution of the main macroscopic parameter is investigated for various species concentrations and for different gas rarefactions ranging from near the free molecular to slip flow regime. It is found that the mixture heat flux takes several characteristic times, which is defined by the distance between the plates over the most probable molecular speed, to achieve its new equilibrium state. This time of the steady state flow establishment depends strongly on the gas rarefaction, mixture nature and composition.

AB - Transient behavior of the heat transfer through binary gas mixture, confined between two infinite parallel plates, caused by the sudden change of the plates’ temperatures, is studied for two monoatomic gas mixtures: Ne–Ar and He–Ar. The walls’ temperature changes are considered small compared to the equilibrium temperature of the system, so the McCormack kinetic model is used for the numerical simulations. The time evolution of the main macroscopic parameter is investigated for various species concentrations and for different gas rarefactions ranging from near the free molecular to slip flow regime. It is found that the mixture heat flux takes several characteristic times, which is defined by the distance between the plates over the most probable molecular speed, to achieve its new equilibrium state. This time of the steady state flow establishment depends strongly on the gas rarefaction, mixture nature and composition.

KW - rarefied gas

KW - Boltzmann equation

KW - binary mixture

KW - transient heat transfer

KW - wall temperature

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