Gilliland-Sherwood correlation

The Gilliland-Sherwood correlation for gas-phase binary mass transfer in a wetted wall column is... 

In their original development of the linearized theory Toor (1964) and Stewart and Prober (1964) proposed that correlations of the type given by Eqs. 8.8.5 and 8.8.7 could be generalized by replacing the Fick diffusivity D by the charactersitic diffusion coefficients of the multicomponent system that is, by the eigenvalues of the Fick matrix [ >]. The mass transfer coefficient calculated from such a substitution would be a characteristic mass transfer coefficient an eigenvalue of [/c]. For example, the Gilliland-Sherwood correlation (Eq. 8.8.5) would be modified as follows ... 

The Gilliland-Sherwood correlation in the form of Eq. 8.8.12 may be used to estimate... 

Gilliland-Sherwood correlation A dimensionless equation used to determine the mass transfer in gas absorption and relates the Sherwood number, Reynolds number, and Schmidt number ... 

Sublimation rates of pure solids into turbulent air streams have been successfully correlated by the Gilliland-Sherwood equation(102) ... 

In defining a 7-factor (jd) for mass transfer there is therefore good experimental evidence for modifying the exponent of the Schmidt number in Gilliland and Sherwood s correlation (equation 10.225). Furthermore, there is no very strong case for maintaining the small differences in the exponent of Reynolds number. On this basis, the /-factor for mass transfer may be defined as follows ... 

Sherwood and Pigford(7) have shown that if the data of Gilliland and SHERWOOD<36) and others 35 38,395 are plotted with the Schmidt group raised to this power of 0.67. as shown in Figure 10.14, a reasonably good correlation is obtained. Although the points are rather more scattered than with heat transfer, it is reasonable to assume that both jd and 7/, are approximately equal to 0. Equations 10.224 and 10.226 apply in the absence of ripples which can be responsible for a very much increased rate of mass transfer. The constant of 0.023 in the equations will then have a higher value. 

Gilliland and Sherwood (1934) studied the vaporization of nine different liquids into air. Their correlation is... 

If the concentration of the liquid surface is not constant, there will be mass transfer and a mass-transfer resistance on the gas side also. In separation processes, the gas-phase resistance often controls (the gas-phase mass-transfer coefficient is often significandy smaller than the liquid-phase mass-transfer coefficient). For turbulent flow of the gas in a wetted wall tube, the following correlation was originally reported by Gilliland (see Sherwood et al.. 1975 or Wankat and Knaebel. 2008T... 

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