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The importance of mean free path in determining gas flow behaviour

Dongari, Nishanth and Zhang, Yonghao and Reese, Jason (2010) The importance of mean free path in determining gas flow behaviour. In: 8th International Conference on Nanochannels, Microchannels and Minichannels, 2010-08-01 - 2010-08-05, Montréal,.

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    Abstract

    We investigate whether a power-law form of probability distribution function better describes the free paths of dilute gas molecules in a confined system. An effective molecular mean free path model is derived, which allows the mean free path to vary close to bounding surfaces. Our model is compared with molecular dynamics simulation data, and also other classical mean free path models. As gas transport properties can be related to the mean free path through kinetic theory, the Navier-Stokes constitutive relations are then modified and applied to various benchmark test cases. Results for isothermal pressure-driven Poiseuille flows in micro-channels are reported, and we compare our results with conventional hydrodynamic models, solutions of the Boltzmann equation, and experimental data. Our new approach provides good results for mean free path and cross-sectional flow velocity profiles up to Knudsen numbers around 1, and for integral flow parameters such as flow rate and friction factor up to Knudsen number of 10. We discuss some limitations of our power-law model, and point to the way forward for further development

    Item type: Conference or Workshop Item (Paper)
    ID code: 32135
    Keywords: thermal transpiration, molecules, models, transition regime, knudsen layer, Mechanical engineering and machinery
    Subjects: Technology > Mechanical engineering and machinery
    Department: Faculty of Engineering > Mechanical and Aerospace Engineering
    Related URLs:
    Depositing user: Pure Administrator
    Date Deposited: 13 Jul 2011 10:07
    Last modified: 12 Dec 2013 18:33
    URI: http://strathprints.strath.ac.uk/id/eprint/32135

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