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4-8) /л = \nmuk = \рпк - Velocity profile vx(y) \ a a vx I у \ »xly-. / \V,/ \ y / Typical molecule arriving from plane at {y y - a) with x-component of velocity vx\y_a ^ x Fig. 4-1 Molecular transport of x-momentum from the plane at (y - a) to the plane at y. 4 Molecular Theory of the Viscosity of Gases at Low Density 25 or, by combining Eqs. 4-9) 2 2 This expression for the viscosity was obtained by Maxwell in 1860. The quantity ird is called the collision cross section (see Fig. 4-2). 1. The prediction of Eq.

Glasstone, K. J. Laidler, and H. Eyring, Theory of Rate Processes, McGraw-Hill, New York (1941), Chapter 9; H. Eyring, D. Henderson, B. J. Stover, and E. M. Eyring, Statistical Mechanics, Wiley, New York (1964), Chapter 16. See also R. J. Silbey and R. A. 1; and R. S. Berry, S. A. Rice, and J. Ross, Physical Chemistry, Oxford University Press, 2nd edition (2000), Ch. 29. Henry Eyring (1901-1981) developed theories for the transport properties based on simple physical models; he also developed the theory of absolute reaction rates.

To discuss this we use Fig. 7-1 and focus our attention on a cube-shaped region in space through which the fluid is flowing. At the center of the cube (located at x, y, z) the fluid velocity vector is v. 2 we consider three mutually perpendicular planes (the shaded planes) through the point x, y, z, and we ask how much momentum is flowing through each of them. Each of the planes is taken to have unit area. The volume rate of flow across the shaded unit area in (a) is vx. This fluid carries with it momentum pv per unit volume.

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