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Separation Process Engineering: Includes Mass Transfer Analysis, Third Edition by Phillip C. Wankat

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15.7.1 Introductory Development of the Maxwell-Stefan Theory of Diffusion

The Maxwell-Stefan theory can be derived from continuum mechanics (Datta and Vilekar, 2010), irreversible thermodynamics (Bird et al., 2002), or the kinetic theory of gases (Hirschfelder et al., 1954). Although the continuum mechanics approach is probably most powerful, for an introductory development, a simplified kinetic theory is easier to follow. The presentations of Taylor and Krishna (1993) and Wesselingh and Krishna (2000) are paraphrased in a somewhat loose manner here.

Consider an ideal gas at constant pressure and temperature consisting of gases A and B. The entire system can be moving at some average molar velocity vz,ref,mol. The coordinate system and control ...

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