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Macroscopic modeling in double emulsion systems

Abstract : Liquid membrane separations as Double Emulsions (DE) have been extensively examined for potential application in fields such as metal recovery, gas separation, organic compound removal, pollutant removal, and bioseparations. The difficulties in the application of these processes do not consist in sophisticated equipment or installation but in a good understanding of the complex phenomena that occur inside these systems. Since its invention, efforts have been made for successful modeling of DE process separation; however, information about the diffusion and reaction phenomena inside the DE has not been included in the mathematical descriptions in detail yet. Therefore, the objective of this thesis is to describe the solute transport with chemical reaction through DE systems by means of rigorous modeling that can provide with valuable information from the micro-scale to be applied at the macro-scale.To accomplish this, a DE system has been analyzed as a three-phase system characterized by more than one disparate length scales.The method of volume averaging has been used to derive rigorous averaged equations in the context of the non-local mass equilibrium (NLME). The structure of the DES has been studied from two different perspectives: 1) the DES as a single domain where concentration changes occur in the same length scale and 2) the DES consists in two homogeneous regions where concentration changes occur at two different length scales. As a result of these different standpoints of representing the system, two different averaged macroscopic models were obtained: the three-phase and the two-region models. Both models present effective coefficients that include information about the micro-scale. These latter are related to closure variables which are solutions of associated boundary-value problems. Finally, an analysis of a DE-containing separation process in a stirred tank by applying both models was made.
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Submitted on : Wednesday, October 23, 2019 - 11:39:17 AM
Last modification on : Wednesday, November 3, 2021 - 7:36:40 AM
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  • HAL Id : tel-02328608, version 1


Abigail Cervantes de La Rosa. Macroscopic modeling in double emulsion systems. Fluids mechanics [physics.class-ph]. Université Paris-Saclay, 2019. English. ⟨NNT : 2019SACLC056⟩. ⟨tel-02328608⟩



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