Linear stability analysis of thermocapillary flow in a slowly rotating shallow annular pool using spectral element method

2016 ◽  
Vol 97 ◽  
pp. 353-363 ◽  
Author(s):  
Linmao Yin ◽  
Zhong Zeng ◽  
Zhouhua Qiu ◽  
Huan Mei ◽  
Liangqi Zhang ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Spectral Element Method ◽  
Spectral Element ◽  
Thermocapillary Flow ◽  
Annular Pool ◽  
Element Method

Optimal Disturbances in Three-Dimensional Natural Convection Flows

2012 ◽  
Author(s):  
Elia Merzari ◽  
Paul Fischer ◽  
W. David Pointer
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Natural Circulation ◽  
Three Dimensional ◽  
Boussinesq Approximation ◽  
Spectral Element ◽  
Base Flow ◽  
The Stability ◽  
Optimal Disturbances

Buoyancy-driven systems are subject to several types of flow instabilities. To evaluate the performance of such systems it is becoming increasingly crucial to be able to predict the stability of a given base flow configuration. Traditional Modal Linear stability Analysis requires the solution of very large eigenvalue systems for three-dimensional flows, which make this problem difficult to tackle. An alternative to modal Linear stability Analysis is the use of adjoint solvers [1] in combination with a power iteration [2]. Such methodology allows for the identification of an optimal disturbance or forcing and has been recently used to evaluate the stability of several isothermal flow systems [2]. In this paper we examine the extension of the methodology to non-isothermal flows driven by buoyancy. The contribution of buoyancy in the momentum equation is modeled through the Boussinesq approximation. The method is implemented in the spectral element code Nek5000. The test case is the flow is a two-dimensional cavity with differential heating and conductive walls and the natural circulation flow in a toroidal thermosiphon.

Linear Stability Analysis of Thermocapillary Flow in Rotating Shallow Pools Heated from Inner Wall

2019 ◽  
Vol 29 (1) ◽  
pp. 251-259 ◽  
Author(s):  
Zu-an Tian ◽  
Zhong Zeng ◽  
Hao Liu ◽  
Linmao Yin ◽  
Liangqi Zhang ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Thermocapillary Flow
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