Morphological stability analysis of directional solidification into an oscillatory fluid layer

2001 ◽  
Vol 13 (12) ◽  
pp. 3599-3609 ◽  
Author(s):  
Dmitri Volfson ◽  
Jorge Viñals
Keyword(s):  
Stability Analysis ◽  
Directional Solidification ◽  
Fluid Layer ◽  
Morphological Stability

Morphological stability analysis of partial wetting

1987 ◽  
Vol 176 (2) ◽  
pp. 359-392 ◽  
Author(s):  
Ken Sekimot ◽  
Ryuichiro Oguma ◽  
Kyozi Kawasaki
Keyword(s):  
Stability Analysis ◽  
Morphological Stability ◽  
Partial Wetting

scholarly journals Effects of Suction–Injection–Combination (SIC) on the onset of Rayleigh–Bénard Electroconvection in a Micropolar Fluid

2015 ◽  
Vol 14 (3) ◽  
pp. 23-42 ◽  
Author(s):  
S Pranesh ◽  
Tarannum Sameena ◽  
Baby Riya
Keyword(s):  
Stability Analysis ◽  
Micropolar Fluid ◽  
Fluid Layer ◽  
Suspended Particles ◽  
Wave Number ◽  
Critical Wave Number ◽  
Onset Of Convection ◽  
Temperature Boundary ◽  
The Stability ◽  
Rayleigh Benard

The effect of Suction – injection combination on the onset of Rayleigh – Bénard electroconvection micropolar fluid is investigated by making a linear stability analysis. The Rayleigh-Ritz technique is used to obtain the eigenvalues for different velocity and temperature boundary combinations. The influence of various parameters on the onset of convection has been analysed. It is found that the effect of Prandtl number on the stability of the system is dependent on the SIC being pro-gravity or anti-gravity. A similar Pe-sensitivity is found in respect of the critical wave number. It is observed that the fluid layer with suspended particles heated from below is more stable compared to the classical fluid layer without suspended particles.

Three dimensional simulations and stability analysis for convection induced by absorption of radiation

2015 ◽  
Vol 25 (4) ◽  
pp. 810-824 ◽  
Author(s):  
Akil Jassim Harfash
Keyword(s):  
Steady State ◽  
Stability Analysis ◽  
Fluid Layer ◽  
Three Dimensional ◽  
Linear Instability ◽  
Selective Absorption ◽  
Content Type ◽  
Linear Threshold ◽  
Divergence Equation ◽  
Three Dimensional Simulations

Purpose – The purpose of this paper is to investigate a model for convection induced by the selective absorption of radiation in a fluid layer. The concentration based internal heat source is modelled quadratically. Both linear instability and global nonlinear energy stability analyses are tested using three dimensional simulations. The results show that the linear threshold accurately predicts on the onset of instability in the basic steady state. However, the required time to arrive at the steady state increases significantly as the Rayleigh number tends to the linear threshold. Design/methodology/approach – The author introduce the stability analysis of the problem of convection induced by absorption of radiation in fluid layer, then the author select a situations which have very big subcritical region. Then, the author develop a three dimensions simulation for the problem. To do this, first, the author transform the problem to velocity – vorticity formulation, then the author use a second order finite difference schemes. The author use implicit and explicit schemes to enforce the free divergence equation. The size of the Box is evaluated according to the normal modes representation. Moreover, the author adopt the periodic boundary conditions for velocity and temperature in the $x, y$ dimensions. Findings – This paper explores a model for convection induced by the selective absorption of radiation in a fluid layer. The results demonstrate that the linear instability thresholds accurately predict the onset of instability. A three-dimensional numerical approach is adopted. Originality/value – As the author believe, this paper is one of the first studies which deal with study of stability of convection using a three dimensional simulation. When the difference between the linear and nonlinear thresholds is very large, the comparison between these thresholds is very interesting and useful.

The effect of anisotropic surface tension on the morphological stability of planar interface during directional solidification

2009 ◽  
Vol 18 (4) ◽  
pp. 1691-1699 ◽  
Author(s):  
Chen Ming-Wen ◽  
Lan Man ◽  
Yuan Lin ◽  
Wang Yu-Yan ◽  
Wang Zi-Dong ◽  
...  
Keyword(s):  
Surface Tension ◽  
Directional Solidification ◽  
Planar Interface ◽  
Morphological Stability ◽  
Anisotropic Surface
Sign in / Sign up

Export Citation Format

Share Document