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|Title:||A second-order slip model for arbitrary accomodation at the wall|
3rd Micro and Nano Flows Conference (MNF2011)
|Keywords:||Gas microflows;Half-range Hermite polynomials;Velocity slip coefficients|
|Description:||This paper was presented at the 3rd Micro and Nano Flows Conference (MNF2011), which was held at the Makedonia Palace Hotel, Thessaloniki in Greece. The conference was organised by Brunel University and supported by the Italian Union of Thermofluiddynamics, Aristotle University of Thessaloniki, University of Thessaly, IPEM, the Process Intensification Network, the Institution of Mechanical Engineers, the Heat Transfer Society, HEXAG - the Heat Exchange Action Group, and the Energy Institute.|
We present a kinetic-theory derivation of second-order slip boundary conditions for a plane isothermal pressure driven gas owing through a microchannel. In the proposed approach, the distribution function is expanded in terms of orthogonal polynomials and the system of moment equations in the expansion coefficients is analytically solved. The velocity slip coefficients, as well as their Knudsen layer corrections, are obtained by evaluating the solution in the near continuum limit. In comparison with other methods, the present approach is accurate and easy to implement. The results are presented for the Bhatnagar-Gross-Krook-Welander (BGKW) kinetic model equation and Maxwell's boundary conditions, but can be extended to more general collision integral and different scattering kernels.
Fondazione Cariplo within the framework of the project Surface interactions in micro/nano devices
|Other Identifiers:||3rd Micro and Nano Flows Conference, Thessaloniki, Greece, 22-24 August 2011|
|Appears in Collections:||Institute for Bioengineering|
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