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| Monte Carlo simulation for the thermal conductivity of a dilute monatomic gas |
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Abstract The thermal conductivity is an important physical parameter in the fields of aerospace and energy engineering. This work performs a numerical simulation for the one-dimensional heat transfer problem using the direct simulation Monte Carlo (DSMC) method, with the purpose of obtaining the distributions of pressure, density and temperature and the variation of heat conduction coefficient with temperature. Results show that, after achieving the steady state, gas pressure is uniform across the two plates, and its magnitude is inversely proportional to the initial Knudsen number. Gas density is larger and the flow is continuum in the vicinity of the cold plate while gas density is smaller and the flow is in the slip regime near the hot plate. Temperature jump occur on the two plates, and this phenomenon becomes more evident as the initial Knudsen number grows. The temperature jump is smaller on the cold plate while it is larger on the hot plate. The DSMC data show that the thermal conductivity does not affected by gas pressure and is only a power function of gas temperature. The thermal conductivity from DSMC simulation is in agreement with those data available in the literature, demonstrating its reliability.
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Received: 01 November 2024
Published: 03 April 2025
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2025, Vol. 46 
