We examine the functional form of the slip correction factor C ( Π ) , where Π is a dimensionless group to be determined, for simple (monoatomic, diatomic, and triatomic) gas molecules diffusing in air at normal conditions. We express C ( Π ) in terms of the molecular Reynolds number, R e m i = u ¯ i d k i / 2 ν j , where u ¯ i and d k i are the Maxwell–Boltzmann mean molecular speed and the kinetic diameter of the diffusing gas molecules, and ν j is the kinematic viscosity of the background gas (dry air). We show that the slip correction is given simply by C ( R e m i ) = R e m i / R e j , ns , where R e j , ns is a reference no-slip Reynolds number that depends only on the thermodynamic state and viscosity of the background gas j . For dry air at 300 K and 1 atm, R e j , ns = 1.36 × 10 5 , so that C ( R e m i ) = 7.35 × 10 4 R e m i . The approach presented here can be easily generalized to other gas media and leads to a remarkably simple correlation for estimation of Schmidt numbers and binary diffusion coefficients for both stable and unstable trace gases in air. While this correlation depends only on the molecular weight M i and the number of atoms in the molecule of the diffusing gas, it performs competitively against more complex models.


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    Title :

    On the Slip Correction Factor for Simple Gas Molecules Diffusing in Air



    Published in:

    AIAA Journal ; 60 , 8 ; 4744-4753


    Publication date :

    2022-03-28


    Size :

    10 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




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