Rarefaction effects in thermally-driven microflows |
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Authors: | Peyman Taheri Henning Struchtrup |
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Affiliation: | Department of Mechanical Engineering, University of Victoria, P.O. Box 3055, STN CSC, Victoria, British Columbia, Canada, V8W 3P6 |
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Abstract: | Rarefied gas flow in a parallel-plate micro-channel is considered, where a streamwise constant temperature gradient is applied in the channel walls. An analytical approach to the problem is conducted based on linearized and semi-linearized forms of the regularized 13-moment equations (R13 equations), which are a set of macroscopic transport equations for rarefied gases at the super-Burnett order. Typical nonequilibrium effects at the boundary, i.e., velocity slip, temperature jump, and formation of Knudsen boundary layers are investigated. Nonlinear contributions lead to temperature, density, and normal stress profiles across the channel which are not reported elsewhere in literature. |
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Keywords: | Kinetic theory of gases Rarefied gas flow Thermal creep flow Thermal transpiration flow Knudsen boundary layers Grad&rsquo s moment method |
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