Mathematical Modeling of Destabilizing Gas Condensate Droplets in Water Emulsions Using the Population Balance Method
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Hossein Esmaeili
Abstract
The emulsion of hydrocarbon components in water is usually found in the wastewater of refineries. In this work, a mathematical modeling of the destabilization process of gas condensate droplets in water emulsions was constructed using the population balance equation, and the coalescence coefficient (agglomeration kernel) of different demulsifiers (KENON 20, KENON 4, KENON 2, CTAB, SDS, Span 80, Span 60, Polyamide, Polyacrylamide and an EO/PO block copolymer of dodecan-1-ol) was obtained. For modeling, it needs droplets size distribution before adding a demulsifier at time = 0 and after adding a demulsifier at time = 1 h and 2 h. For this purpose, the numerical method of Crank-Nicolson by MATLAB software was applied. Additionally, the growth of gas condensate droplets was modeled by the population balance, and the agglomeration kernel for each demulsifier with the help of two models (simple flow and sum of the volumes) was determined. Moreover, the dependency of the agglomeration kernel to time was obtained. The results showed that the accuracy of the sum of the volumes model was better than the simple flow model to describe destabilization of the emulsion with demulsifiers. Furthermore, the agglomeration kernel of demulsifiers increases with increasing the demulsification time.
Kurzfassung
Normalerweise liegt in den Raffinerie-Abwässern eine Emulsion von Kohlenwasserstoffkomponenten in Wasser vor. In dieser Arbeit wurde eine mathematische Modellierung des Destabilisierungsprozesses von Gaskondensattröpfchen in Wasseremulsionen unter Verwendung der Population-Balance-Gleichung erstellt und damit die Koaleszenzkoeffizienten (Agglomerationskern) verschiedener Demulgatoren (Kenon 20, Kenon 4, Kenon 2, CTAB, SDS, Span 80, Span 60, Polyamid, Polyacrylamid und Dodecan-1-ol-EO-PO-Blockcopolymer) bestimmt. Für die Modellerstellung wurde die Tröpfchengrößenverteilung vor der Demulgatorzugabe zur Zeit t = 0 und nach der Demulgatorzugabe zur Zeit t = 1 Stunde und t = 2 Stunden benötigt. Zu diesem Zweck wurde die numerische Methode der Crank-Nicolson-Software von MATLAB angewendet. Zusätzlich wurde das Wachstum von Gaskondensattröpfchen durch die Population-Balance modelliert und der Agglomerationskern für jeden Demulgator mit Hilfe von zwei Modellen (einfaches Strömungs- und Summe-der-Volumina-Modell) bestimmt. Darüber hinaus wurde die Abhängigkeit des Agglomerationskern (Koaleszenzkoeffizienten) von der Zeit erhalten. Die Ergebnisse zeigten, dass die Genauigkeit des Summe-des-Volumenmodells besser war als die des einfachen Strömungsmodells, um die Destabilisierung der Emulsion mit Demulgatoren zu beschreiben. Darüber hinaus nimmt der Agglomerationskern (Koaleszenzkoeffizienten) von Demulgatoren mit zunehmender Demulgierzeit zu.
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© 2019, Carl Hanser Publisher, Munich
Artikel in diesem Heft
- Contents/Inhalt
- Contents
- Review Article
- Novel Methods for Efficacy Testing of Disinfectants – Part II
- Washing Machines/Detergents
- A Comprehensive Literature Study on Microfibres from Washing Machines
- Evaluation of Fabric Softener Formulations with High Concentrations of Cationic Surfactant
- Environmental Chemistry
- Easy Removal of Methylparaben and Propylparaben from Aqueous Solution Using Nonionic Micellar System
- Mathematical Modeling of Destabilizing Gas Condensate Droplets in Water Emulsions Using the Population Balance Method
- Application
- Sodium Lauryl Sulfate vs. Sodium Coco Sulfate. Study of the Safety of Use Anionic Surfactants with Respect to Their Interaction with the Skin
- Esterification of Oleic Acid with n-Octanol in Three-Phase Microemulsions
- Evaluation of Interfacial Properties of Aqueous Solutions of Anionic, Cationic and Non-ionic Surfactants for Application in Enhanced Oil Recovery
- Physical Chemistry
- Adsorption of Single and Mixed Surfactants onto Jordanian Natural Clay
- Viscometric Studies of Cu(II) Surfactants Derived from Mustard Oil in Benzene at 303.15 K
Artikel in diesem Heft
- Contents/Inhalt
- Contents
- Review Article
- Novel Methods for Efficacy Testing of Disinfectants – Part II
- Washing Machines/Detergents
- A Comprehensive Literature Study on Microfibres from Washing Machines
- Evaluation of Fabric Softener Formulations with High Concentrations of Cationic Surfactant
- Environmental Chemistry
- Easy Removal of Methylparaben and Propylparaben from Aqueous Solution Using Nonionic Micellar System
- Mathematical Modeling of Destabilizing Gas Condensate Droplets in Water Emulsions Using the Population Balance Method
- Application
- Sodium Lauryl Sulfate vs. Sodium Coco Sulfate. Study of the Safety of Use Anionic Surfactants with Respect to Their Interaction with the Skin
- Esterification of Oleic Acid with n-Octanol in Three-Phase Microemulsions
- Evaluation of Interfacial Properties of Aqueous Solutions of Anionic, Cationic and Non-ionic Surfactants for Application in Enhanced Oil Recovery
- Physical Chemistry
- Adsorption of Single and Mixed Surfactants onto Jordanian Natural Clay
- Viscometric Studies of Cu(II) Surfactants Derived from Mustard Oil in Benzene at 303.15 K
