IJE TRANSACTIONS A: Basics Vol. 31, No. 1 (January 2018) 144-156   

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

Abstract    In this paper, a numerical study is conducted in order to compare hyperbolic range of equations of isotherm two-fluid model governing on 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 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 forms. One case (water Faucet 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 were used. The form I of two-fluid model had broader range of well-posing than form II of two-fluid model. The form I of two-fluid model has coefficient that proper selecting of this coefficient ensures hyperbolic roots of the characteristic equation, but in form II, roots of the characteristic equation did not have this capability.


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 مسئله نمونه شیر آب 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. مدل دو سیالی فرم دارای ضریبی می باشد که انتخاب مقادیر مناسب برای این ضریب تضمین کننده هیپربولیک بودن ریشه های معادله مشخصه می باشد، اما ریشه های معادله مشخصه فرم این قابلیت را ندارند.


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