On the second-order temperature jump coefficient of a dilute gas
Author(s)Radtke, Gregg A.; Takata, S.; Aoki, K.; Hadjiconstantinou, Nicolas
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We use LVDSMC (low-variance deviational Monte Carlo) simulations to calculate, under linearized conditions, the second-order temperature jump coefficient for a dilute gas whose temperature is governed by the Poisson equation with a constant forcing term, as in the case of homogeneous volumetric heating. Both the hard-sphere gas and the BGK model of the Boltzmann equation, for which slip/jump coefficients are not functions of temperature, are considered. The temperature jump relation and jump coefficient determined here are closely linked to the general jump relations for time-dependent problems that have yet to be systematically treated in the literature; as a result, they are different from those corresponding to the well-known linear and steady case where the temperature is governed by the homogeneous heat conduction (Laplace) equation.
Author manuscript date January 19, 2012
DepartmentMassachusetts Institute of Technology. Department of Mechanical Engineering
Journal of Fluid Mechanics
Cambridge University Press
Radtke, Gregg A., N. G. Hadjiconstantinou, S. Takata, and K. Aoki. “On the second-order temperature jump coefficient of a dilute gas.” Journal of Fluid Mechanics 707 (September 20, 2012): 331-341.
Author's final manuscript