Verification of a Higher-Order Finite Difference Scheme for the One-Dimensional Two-Fluid Model

2013 ◽  
Vol 5 (2) ◽  
pp. 139-155 ◽  
Author(s):  
William D. Fullmer ◽  
Martin A. Lopez de Bertodano ◽  
Xiaoying Zhang
Keyword(s):  
Finite Difference ◽  
Difference Scheme ◽  
Finite Difference Scheme ◽  
Fluid Model ◽  
Higher Order ◽  
One Dimensional ◽  
Two Fluid Model ◽  
The One ◽  
Two Fluid

A Linear Stability Analysis for an Improved One-Dimensional Two-Fluid Model

2003 ◽  
Vol 125 (2) ◽  
pp. 387-389 ◽  
Author(s):  
Jin Ho Song
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Fluid Model ◽  
Two Phase ◽  
One Dimensional ◽  
Proposed Model ◽  
Two Fluid Model ◽  
The One ◽  
Two Fluid

A linear stability analysis is performed for a two-phase flow in a channel to demonstrate the feasibility of using momentum flux parameters to improve the one-dimensional two-fluid model. It is shown that the proposed model is stable within a practical range of pressure and void fraction for a bubbly and a slug flow.

Review of Applicability of the One-dimensional Two-fluid Model to the Prediction of Wave Growth and Slug Evolution in Horizontal Pipes

2010 ◽  
Author(s):  
Raad I. Issa ◽  
Liejin Guo ◽  
D. D. Joseph ◽  
Y. Matsumoto ◽  
Y. Sommerfeld ◽  
...  
Keyword(s):  
Fluid Model ◽  
Wave Growth ◽  
One Dimensional ◽  
Horizontal Pipes ◽  
Two Fluid Model ◽  
The One ◽  
Two Fluid

scholarly journals Numerical Stability of the One-Dimensional One-Pressure Steady Two-Fluid Model.

1993 ◽  
Vol 59 (560) ◽  
pp. 1071-1078 ◽  
Author(s):  
Akio Tomiyama ◽  
Naoya Furutani ◽  
Tadashi Sakaguchi
Keyword(s):  
Numerical Stability ◽  
Fluid Model ◽  
One Dimensional ◽  
Two Fluid Model ◽  
The One ◽  
Two Fluid

Proposed Use of the One-Dimensional Two-Fluid Model With Momentum Flux Parameters

2000 ◽  
Author(s):  
Jin Ho Song ◽  
H. D. Kim
Keyword(s):  
Differential Equations ◽  
Void Fraction ◽  
Momentum Flux ◽  
Fluid Model ◽  
Sufficient Conditions ◽  
Wave Number ◽  
One Dimensional ◽  
Two Fluid Model ◽  
The One ◽  
Two Fluid

Abstract The dynamic character of a system of the governing differential equations for the one-dimensional two-fluid model, where the appropriate momentum flux parameters are employed to consider the velocity and void fraction distribution in a flow channel, is analyzed. In response to a perturbation in the form of a traveling wave, a linear stability analysis is performed for the governing differential equations. The analytical expression for the growth factor as a function of wave number, void fraction, drag coefficient, and relative velocity is derived. It provides the necessary and sufficient conditions for the stability of the one-dimensional two-fluid model in terms of momentum flux parameters. It is analytically shown that the one-dimensional two-fluid model is mathematically well posed by use of appropriate momentum flux parameters, while the conventional two-fluid model makes the system unconditionally unstable. It is suggested that the velocity and void distributions should be properly accounted for in the one-dimensional two-fluid model by use of momentum flux parameters.

The one-dimensional two-fluid model with momentum flux parameters

2001 ◽  
Vol 205 (1-2) ◽  
pp. 145-158 ◽  
Author(s):  
JinHo Song ◽  
Mamoru Ishii
Keyword(s):  
Momentum Flux ◽  
Fluid Model ◽  
One Dimensional ◽  
Two Fluid Model ◽  
The One ◽  
Two Fluid
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