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Transient flow of a binary gas mixture through a long capillary at arbitrary rarefaction parameters.

Mingming Gu1, Zilong Deng1, Yongping Chen1

  • 1Southeast University, School of Energy and Environment, Nanjing 210096, People's Republic of China.

Physical Review. E
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Summary

This study presents a model for gas mixture flow in capillaries, predicting clogging risks. The model uses kinetic coefficients derived from the Boltzmann equation, offering efficient and accurate simulations for various rarefaction conditions.

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Area of Science:

  • Fluid Dynamics
  • Statistical Mechanics
  • Chemical Engineering

Background:

  • Simulating transient gas mixture flow in capillaries is crucial for processes like gas filling.
  • Existing models may struggle with arbitrary rarefaction parameters and complex gas mixtures.
  • Understanding flow behavior is key to preventing operational issues such as clogging.

Purpose of the Study:

  • To develop a robust model for simulating transient gas mixture flow in long capillaries.
  • To investigate the clogging phenomenon during gas filling processes.
  • To establish criteria for predicting and analyzing clogging.

Main Methods:

  • Developed a transient flow model based on linear relationships between thermodynamic fluxes and forces.
  • Solved the linearized, steady Boltzmann equation using the finite-difference method to obtain kinetic coefficients.
  • Employed the Chebyshev polynomial approximation to optimize computational efficiency.

Main Results:

  • The model accurately predicts transient gas flow for various rarefaction parameters and molar fractions.
  • A critical pressure ratio criterion for clogging was proposed and investigated.
  • Identified correlations between critical pressure ratio and rarefaction parameter, molar fraction, and molecular mass ratio.

Conclusions:

  • The proposed model enables efficient and accurate simulation of transient gas flow in capillaries.
  • The critical pressure ratio provides a useful criterion for assessing clogging risk.
  • Rarefaction parameter and molar fraction significantly influence clogging, while molecular mass ratio's effect is limited to specific conditions.