Taylor flow film mass transfer coefficient

Obtain the Taylor-Prandtl modification of the Reynolds Analogy between momentum transfer and mass transfer (equimolecular counterdiffusion) for the turbulent flow of a fluid over a surface. Write down the corresponding analogy for heat transfer. State clearly the assumptions which are made. For turbulent flow over a surface, the film heat transfer coefficient for the fluid is found to be 4 kW/m2 K. What would the corresponding value of the mass transfer coefficient be. given the following physical properties ... 

In summary, the gas-liquid mass transfer in Taylor flow has two contributions (see Figure 7.6b) (i) the caps (assumed to be hemispherical) at both ends of the bubble and (ii) the liquid film surrounding the lateral sides of the bubble. Considering these two contributions and assuming resistance in the liquid phase, the relationship for the overall mass transfer coefficient /r ) is given in the... 

Van Baten and Krishna [57] developed a model for rising Taylor bubble flow in circular capillaries by considering two contributions to mass transfer (1) the caps (assumed to be hemispherical) at either end of the bubble and (2) the liquid film surrounding the bubble. They put forward the following relationship for the overall volumetric mass transfer coefficient (see Chapter 11) ... 

Van Eaten and Krishna [91] simulated liquid-to-wall mass transfer for Taylor flow in circular capillaries of 1.5, 2.0, and 3.0 mm diameter. In their analysis, the wall mass transfer process consisted of two separate contributions (i) wall-slug contribution of the regions in contact with the liquid slug and (ii) wall-film contribution of the region in contact with the liquid film surrounding the bubble. A correlation for total liquid-to-wall mass transfer coefficient was proposed ... 

---