By Koichi Asano
This didactic method of the rules and modeling of mass move because it is required in glossy business techniques is exclusive in combining a step by step advent to all vital basics with the latest purposes. established upon the popular author's winning new modeling process as used for the O-18 technique, the exemplary workouts integrated within the textual content are fact-proven, taken at once from latest chemical plants.
interesting interpreting for chemists, graduate scholars, chemical and strategy engineers, in addition to thermodynamics physicists.
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Additional resources for Mass transfer : from fundamentals to modern industrial applications
Example text
Substituting Eq. 19) into Eq. 21), the rate of mass transfer at time t is given by the following equation: r D os À oI NA t r pt 3:22 The mass transfer coefficient is given by: r D k t pt 3:23 The average mass transfer coefficient during a time interval tc [s] is obtained by integrating Eq. 24) were first proposed by R. Higbie [5] in 1935, and the model is called Higbie’s penetration model. 3 Surface Renewal Model P. V. 4 Some Approximate Solutions of the Diffusion Equation where s is the rate of surface renewal [s–1].
L. Prandtl was the first to derive the so-called boundary layer equations for the flow near the wall where the effect of viscosity is considerable, by considering the order of magnitude of each term in the Navier–Stokes equation [12]. If we tentatively assume that the orders of magnitude of u and x are both unity in Eq. a) and that the thickness of the boundary layer is d (d << 1), then from the continuity equation v and y will be of the same order of magniMass Transfer. From Fundamentals to Modern Industrial Applications.
In the following, we introduce the important concept of mass transfer coefficients, with the aid of which mass transfer rates can be calculated without using the concentration gradients at the interface, as is the case with heat transfer coefficients. 5 shows a schematic representation of the concentration distribution near an interface. Although the variation in the concentration near the interface is very sharp, it becomes more gradual in the region slightly further from the interface and the concentration slowly approaches that in the bulk fluid.