In which flow condition (Slug flow and bubbly flow), the mass transfer will be higher and why? The phases are aqueous and organic (liquid-liquid). Here the organic phase (lighter phase) is making bubbles or slug, and the aqueous phase (heavier phase) is continuous. Will it depend on the direction of mass transfer that means aqueous to organic (extraction) or organic to aqueous (stripping)?
Are you asking about the mass transfer between the two phases in a two-phase flow, such as one might have with two different substances, say air bubbling within water? The rate of mass transfer will be proportional to the concentration gradients and also the interfacial surface area and also the level of agitation (or turbulence). Bubbly flow would have a lot more surface area than slug flow and possibly more turbulence as well.
Thank you very much sir for your kind answer. I am also confused by cindering the same fact, which you have indicated. Suleiman sir, I am talking about the mass transfer from aqueous to organic phase (extraction) for the flow through the same millimetric packed channel, where the flow velocity is obviously higher in the case of bubbly flow than the slug flow. Then, what will be the scenario? Please try to provide me a conclusive answer, sir.
While there is a lot of experimental data for various flows and fluids in the literature, it is not likely that the exact combination you are looking for will be available. That would be a good opportunity if you were planning an experimental approach. If not, then you are left with the task of taking what is known and extending it to what you need. For the case of two-phase flow, this means utilizing the existing experimental data and combining it with successful computational techniques to arrive at a specialized solution. You must first be able to replicate the existing data, which means developing the calculations and using these to estimate each part of the known processes from the others. If you can't do this, then you will not be able to accurately estimate the unknown. First demonstrate consistency and accuracy of the approach, then extend it from what you know to the unknown.
I refer you to two discussions which bear on the two problems of Eulerian two-fluid models closures: Turbulence and momentum interfacial transfer:
(6) Turbulence Closure for Two-Fluid RANS Modeling (researchgate.net)
(6) Interfacial Transfer Closure for Two-Fluid RANS Modeling (researchgate.net)
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