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dc.contributor.authorGibelli, L-
dc.contributor.author3rd Micro and Nano Flows Conference (MNF2011)-
dc.identifier.citation3rd Micro and Nano Flows Conference, Thessaloniki, Greece, 22-24 August 2011en_US
dc.descriptionThis 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.en_US
dc.description.abstractWe 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.en_US
dc.description.sponsorshipFondazione Cariplo within the framework of the project Surface interactions in micro/nano devicesen_US
dc.publisherBrunel Universityen_US
dc.subjectGas microflowsen_US
dc.subjectHalf-range Hermite polynomialsen_US
dc.subjectVelocity slip coefficientsen_US
dc.titleA second-order slip model for arbitrary accomodation at the wallen_US
dc.typeConference Paperen_US
Appears in Collections:Brunel Institute for Bioengineering (BIB)
The Brunel Collection

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