The one-dimensional heat transfer between two parallel plates separated by a distance that is less than the mean free path of the gas between the plates will be studied over the transition regime from continuum to free-molecule flow. Two analytical me...
The one-dimensional heat transfer between two parallel plates separated by a distance that is less than the mean free path of the gas between the plates will be studied over the transition regime from continuum to free-molecule flow. Two analytical methods and one numerical method are going to be applied for this problem. The continuum solution will be presented, together with free-molecule (or collisionless) flow solution as the two limiting cases. The Direct Simulation Monte Carlo (or DSMC) method will be used to make a bridge solution between the two limiting case solutions. DSMC is a statistical technique to simulate rarefied gas flow and transport processes. The DSMC heat flux results are compared with the continuum solution, free-molecule solution and the four-moment solution with correction.