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Analytical Methods for Problems of Molecular Transport pp 289–334Cite as

Boundary Slip Phenomena in a Binary Gas Mixture

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Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 83))

Abstract

The non-uniform state of a binary gas mixture is described by the distribution functions:

$$ f_i = f_i^{(0)} (\tilde r,t)\left( {1 + \Psi _i^{(1)} (C_i ,\tilde r,t)} \right);(i = 1,2), $$
(12-1)

where C i =(m i /2kT)1/2 V i and \( f_i^{(0)} (\tilde r,t) \) is given by:

$$ f_i^{(0)} (\tilde r,t) = n_i (\tilde r,t)\left( {\frac{{m_i }} {{2\pi kT(\tilde r,t)}}} \right)^{3/2} \exp \left( { - \frac{{m_i (v_i - u(\tilde r,t))^2 }} {{2kT(\tilde r,t)}}} \right). $$
(12-2)

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Editors and Affiliations

  1. University of Missouri-Columbia, Columbia, Missouri, USA

    I. N. Ivchenko , S. K. Loyalka  & R. V. Tompson Jr. ,  & 

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(2007). Boundary Slip Phenomena in a Binary Gas Mixture. In: Ivchenko, I.N., Loyalka, S.K., Tompson, R.V. (eds) Analytical Methods for Problems of Molecular Transport. Fluid Mechanics and Its Applications, vol 83. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-5865-3_12

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