primary viscosity distributioii viscosity disturbance primary viscosity distribution ( J p o ) , dimensionless kinematic viscosity density primary density distribution density disturbance disturbance growth factor defined by Equation (12) amplitude of pressure disturbance divided by mean density primary angular velocity distribution primary angular velocity distribution (n/n,.), dimensionless dummy radial position variable 3. -, Proc. Roy. SOC., 246A, 301 (1958).
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13.Kirchgassncr, K., ZAMP, 12, 14 (1981).Walowit, J. A,, S. Tsao, and R. C. DiPrima, 1. Appl.
Mech., 31,585 (1964).Lewis, J. W., Proc. Roy. SOC., 117A, 388 ( 1928 Liquid phase mass transfer coefficients were measured in a continuous flow, stirred vessel containing a gas and a liquid phase. Helium, hydrogen, oxygen, argon, and carbon dioxide were desorbed from distilled water into nitrogen a t seven different levels of agitation. A t low stirring speeds the system was stratified and mass transfer coefficients were proportional to diffusivity raised to a power between 0.5 and 0.6. A t higher stirring speeds the interface was broken and corrections for desorption into the entrained bubbles indicated that the mass transfer coefficient at the main free interface was proportional to a higher power of diffusivity. The results are interpreted in the light of a general model considering eddy diffusion and surface renewal effects.Many industrial processes involve mass transfer between a gas and a liquid. Often the interface between the two phases is relatively free to move about in space and Each approach predicts a different degree of dependence of the liquid phase mass transfer coefficient upon diftusivity. A general analysis of liquid phase mass transfer at a free surface in turbulent systems has been put forward by one of the present authors (19), and involves concepts of molecular diffusion, small-scale eddy diffusion, and large-scale surface renewals. From this analysis it follows that the exponent on diffusivity in a correlation for the li uid phase mass transfer coefficient depends upon upon the surface age. If surface tension causes the eddy diffusivity in the liquid to damp out continuously to zero at the interface, the exponent m in the be 1 avior of the eddy diffusivity near the interface and k L -D"' will be 0.5 for low ages of a surface element under consideration. It is convenient to denote this damping by postulating that the eddy diffusivity is proportional to y", where y is distance normal to the interface. If n > 2, increasing surface ages will cause m to rise continuously from 0.5 to an upper limiting value of 1 -I/n. If n = 2, m will be 0.5 for all ages, and if n lies between 0 and 2 the exponent upon D will continually decrease as surface age increases, reaching a nonzero limiting value only if n > 1.If the small eddies causing the eddy diffusivity are somehow not damped out at the interface by surface tension, the exponent on diffusivity will be reduced. A limiting case of m = 0, corresponding to kL being completel...