IJE TRANSACTIONS A: Basics Vol. 31, No. 1 (January 2018) 77-89    Article in Press

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H. Zolfaghary Azizi, M. Naghashzadegan and V. Shokri
( Received: August 28, 2017 – Accepted: October 29, 2017 )

Abstract    In this paper, a numerical study is conducted in order to compare on the hyperbolic range of equations of isotherm two-fluid model governing on the two-phase flow inside of pipe using conservative Shock capturing method. Differential equations of the two-fluid model are presented in two forms (i.e. form I and form II). In the forms I and II, pressure correction terms are hydrodynamic and hydrostatic, respectively. In order to compare, the hyperbolic range of equations of two-fluid model is presented in two form. Two case ( i.e. water Faucet Case and water-air separation case) in the vertical configuration and two other cases (i.e. Large Relative Velocity Shock Tube Case and Toumi’s Shock Tube Case) in the horizontal configuration are used. The form I of two-fluid model had broader range of well-posing than form II of two-fluid model. Results on water-Air separation case show that range of well-posing of the form II of two-fluid model can play stabilizer role of hydrostatic pressure correction term .


Keywords    two-phase flow, two-fluid model, numerical simulation, hyperbolic analysis


چکیده    در این مقاله، یک مطالعه عددی برای مقایسه محدوده هیپربولیکی معادلات مدل دو سیالی دما ثابت حاکم بر جریان های دوفازی داخل لوله انجام شده است. با استفاده از متد تسخیر شاک پایستار مدلسازی عددی انجام شده است. معادلات دیفرانسیل مدل دو سیالی بر اساس نوع ترم تصحیح فشار در دو فرم ارائه شده است. در فرم I از ترم تصحیح فشار هیدرودینامیک و در فرم II از ترم تصحیح فشار هیدرواستاتیک استفاده شده است. برای مقایسه محدوده هیپربولیکی معادلات مدل دو سیالی در دو فرم ارائه شده، از دو مسئله نمونه شیر آب و جدایش آب و هوا در هندسه قائم و دومسئله نمونه لوله شاک سرعت نسبی بزرگ و لوله شاک تامی استفاده شده است. مدل دوسیالی فرم I دارای محدوده خوش رفتاری گسترده تری نسبت به مدل دو سیالی فرم II می باشد. نتایج در مسئله نمونه جدایش آب و هوا نشان داده است محدوده خوش رفتاری مدل دو سیالی فرم II می تواند نقش پایدار کننده ترم تصحیح فشار هیدرواستاتیک را ایفا کند.

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