Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-02-28
Molecular Physics 98 (4), 239-248 (2000)
Physics
Condensed Matter
Statistical Mechanics
18 pages (LaTex), 7 figures (eps)
Scientific paper
10.1080/002689700162667
By means of the Direct Simulation Monte Carlo method, the Boltzmann equation is numerically solved for a gas of hard spheres enclosed between two parallel plates kept at different temperatures and subject to the action of a gravity field normal to the plates. The profiles of pressure, density, temperature and heat flux are seen to be quite sensitive to the value of the gravity acceleration $g$. If the gravity field and the heat flux are parallel ($g>0$), the magnitudes of both the temperature gradient and the heat flux are smaller than in the opposite case ($g<0$). When considering the actual heat flux relative to the value predicted by the Fourier law, it is seen that, if $g>0$, the ratio increases as the reduced local field strength increases, while the opposite happens if $g<0$. The simulation results are compared with theoretical predictions for Maxwell molecules
Santos Andrés
Tahiri E. E.
Tij Mohamed
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