مهندسی شیمی ایران

مهندسی شیمی ایران

مدل‌سازی عددی اثر امواج فراصوت بر امولسیون‌زدایی قطره‌های روغن در آب

نوع مقاله : مقاله پژوهشی

نویسندگان
1 کارشناس ارشد مهندسی شیمی، دانشگاه صنعتی شیراز
2 استادیار مهندسی شیمی، دانشگاه صنعتی شیراز
3 استاد مهندسی شیمی، دانشگاه صنعتی شیراز
چکیده
در مقالۀ حاضر، اثر امواج فراصوت بهمنظور امولسیون‌زدایی سامانۀ روغن در آب و هم‌چنین تجمع قطره‌های فاز پراکنده (روغن) بررسی و یک مدل موازنۀ جمعیت برای پیش‌بینی تعداد و اندازۀ قطره‌های فاز پراکنده ارائه شدهاست. در ابتدا معادلۀ ضریب برخورد تحت تأثیر امواج فراصوت بهصورت تابعی از فرکانس موج، چگالی انرژی میدان صوتی و قطر قطره­ها برای اولینبار پیشنهاد شد. معادلۀ ضریب برخورد به مدل موازنۀ جمعیت اضافه شد و در این مدل، معادلۀ ریاضی انتگرالی دیفرانسیلی حاصل بهکمک روش عددی Fixed Pivot ساده­ سازی و دستگاه معادلات ODE حاصل از آن با نرم‌افزار MATLAB حل شد. در ادامه، نمودار توزیع حجمی قطره‌های روغن در زمان­های1 و 3 دقیقه با و بدون استفاده‌از تأثیر معادلۀ ضریب برخورد امواج فراصوت و هم‌چنین میانگین قطر قطره‌ها و حجم کل قطره­ ها ترسیم و با داده‌های آزمایشگاهی موجود در مطالعات گذشته مقایسه شدهاست. نتایج نشان داد که با اعمال جدید در مدل ریاضی، تطابق بهتری میان نتایج آزمایشگاهی و نتایج مدل­سازی به‌دست آمدهاست. هم‌چنین از نمودار میانگین قطر قطره‌ها مشخص است که تحت تأثیر امواج فراصوت قطر متوسط قطره ­ها در زمان 3 دقیقه بیش از 50% رشد داشتهاست. درنهایت، نمودار حجم کل قطره‌ها نشان داد که حجم کل قطره ­های روغن (باتوجهبه عدم جدایش فاز) در طول زمان 3 دقیقه ثابت مانده که خود دلیلی بر صحت مدل ریاضی استفاده شدهاست.
کلیدواژه‌ها

موضوعات


عنوان مقاله English

Numerical Modeling of the Ultrasonic Waves Effect on Demulsification of Oil-in-Water Emulsion System

نویسندگان English

I. Panahi 1
P. Parvasi 2
J. Javanmardi 3
1 M. Sc. in Chemical Engineering, Shiraz of Technology
2 Associate Professor of Chemical Engineering, Shiraz University of Technology
3 Professor of Chemical Engineering, Shiraz University
چکیده English

Dispersed phase droplets recovery from an emulsion is widely used in various processes such as treating host liquids and collecting dispersed droplets. This article investigates the effect of ultrasonic waves on the demulsification of the oil-in-water system. Then a mathematical model was proposed to predict the number and size of dispersed phase droplets. The population balance integral equation terms were simplified using the Fixed Pivot method and the resulting ODE set was solved by applying MATLAB Software. Using the ultrasonic collision frequency effect, the oil droplets volumetric distribution profile in 1 and 3 minutes was studied.
In addition, the average droplet diameter D4,3 and the total volume of dispersed phase at 1 min. and 3 min. were reported and the model prediction was compared with experimental data. The average droplet diameter showed that under the ultrasonic waves effect, the average diameter of the drops increased by more than 50% in 3 minutes. Also, the total volume of dispersed phase results indicates that the total volume of oil droplets (due to the lack of phase separation) remains constant for 3 minutes. This result proves the correctness of the newly developed mathematical model.

کلیدواژه‌ها English

Emulsion
Ultrasonic Waves
Aggregation
Population Balance
Ultrasonic Collision Frequency
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