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It was mathematically described using the film theory.
The concentration polarization phenomenon is mathematically described using the film theory, while the Hagen Poiseuille and Ergun equations describe the pressure drop in the fiber bore and on the shell side of the fiber bundle, respectively.
The problem of mass transfer with both first order irreversible homogeneous and an arbitrary heterogeneous reaction has been analyzed using the film theory, subject to the assumption of a linear profile of reactant between the bulk phase and the heterogeneous reaction surface.
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The mass transport through the heterogeneous medium has been solved using the film-penetration theory.
The results were analyzed using the film drainage and stochastic theories of coalescence.
Liposomes were prepared using the film hydration method.
Results of non-isothermal film-penetration model presented here provide quantitative support to the long used assumption that the film theory results represent conservative estimates for most systems.
The data are interpreted using the two-film theory and invoking the pseudo-first order assumption.
Using the two-film theory and the Danckwerts' distribution function, a mathematical model for describing this chemical mass transfer mechanism is developed based on the assumption that the concentrations at the interface obey Henry's law.
The allylation of 2,4,6-tribromophenol in a phase transfer catalytic reaction was modeled by using the two-film theory taking account of the mass transfer of catalysts between two phases.
The approximate solution of DeCoursey (1974), originally developed for the surface renewal theory, was adapted to the film theory by using a correction factor.
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