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Stress and heat flux in non-inertial reference frames. (English) Zbl 0891.76077

Summary: We compute the stress tensor and the heat flux in a non-inertial reference frame, using the BGK model to any order in the product between the microscopic collision time and the angular velocity of the reference frame, a product that is assumed to be of order one. We find that both the stress and the heat flux change both in magnitude and in orientation with respect to their inertial counterparts, and that the non-inertiality always lowers their absolute value.

MSC:

76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
80A20 Heat and mass transfer, heat flow (MSC2010)
82B40 Kinetic theory of gases in equilibrium statistical mechanics
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