The linear stability of an oscillatory two‐phase channel flow in the limit of small Stokes numbers

1995 ◽  
Vol 7 (6) ◽  
pp. 1510-1512 ◽  
Author(s):  
Yen‐Cho Chen ◽  
J. N. Chung
Keyword(s):  
Linear Stability ◽  
Channel Flow ◽  
Two Phase

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.

Hydrodynamics of gas/shear-thinning liquid two-phase flow in a co-flow mini-channel: Flow pattern and bubble length

2020 ◽  
Vol 32 (9) ◽  
pp. 092004
Author(s):  
Wen Yuan Fan ◽  
Shuai Chao Li ◽  
Li Xiang Li ◽  
Xi Zhang ◽  
Meng Qi Du ◽  
...  
Keyword(s):  
Flow Pattern ◽  
Channel Flow ◽  
Two Phase Flow ◽  
Shear Thinning ◽  
Phase Flow ◽  
Two Phase ◽  
Bubble Length

On the linear stability of channel flow over riblets

1996 ◽  
Vol 8 (11) ◽  
pp. 3194-3196 ◽  
Author(s):  
Uwe Ehrenstein
Keyword(s):  
Linear Stability ◽  
Channel Flow

Modeling of Two-Phase Flow Instabilities in Microchannels

2005 ◽  
Author(s):  
Niranjan S. Chavan ◽  
A. Bhattacharya ◽  
Kannan Iyer
Keyword(s):  
Linear Stability ◽  
Characteristic Equation ◽  
Dynamic Instability ◽  
Analytical Form ◽  
Flow Instabilities ◽  
Two Phase ◽  
Stability Curve ◽  
Analytical Stability ◽  
Static And Dynamic Instability ◽  
Stability Model

This paper addresses a non-dimensional analytical stability model aimed at predicting the occurrence of flow instabilities at micro-scale. In this context, linear stability model using homogenous flow was considered. Towards that, a linear stability model was developed using perturbation method. A characteristic equation (the response of pressure drop to a hypothetical perturbation in inlet velocity) obtained in this analysis, is shown to be a function of sub-cooling number, Zuber number, Froude number, friction number and inlet and outlet restriction coefficients. Then, a neutral dynamic stability curve is obtained using D-Partition approach. Similarly, static or excursive stability curve is also obtained from the characteristic equation. The derived analytical form for static and dynamic instability threshold is represented in the form of simplified correlations. The experimental data reported by other researchers agree well with these correlations. From the results, it is amply clear that for all practical purposes, two-phase cooling will be unstable. The question to be answered in future is, therefore, whether the oscillations that accompany can be tolerated from the application viewpoint.

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