Linear stability of convection in rotating mushy layers

2001 ◽  
pp. 1205-1208
Author(s):  
S. Govender ◽  
P. Vadasz
Keyword(s):  
Linear Stability ◽  
Mushy Layers

Coriolis Effect on the Linear Stability of Convection in Solidifying Mushy Layers

2003 ◽  
Author(s):  
S. Govender
Keyword(s):  
Linear Stability ◽  
Momentum Equation ◽  
Mushy Layer ◽  
Coriolis Effect ◽  
Mushy Layers ◽  
New Formulation

We consider the solidification in a mushy layer subject to rotation and adopt a near-eutectic approximation. The linear stability is used to investigate analytically the Coriolis effect on convection for a new formulation of the momentum equation.

scholarly journals Stability of Solutal Convection in a Gravity Modulated Mushy Layer During the Solidification of Binary Alloys

2005 ◽  
Author(s):  
S. Govender
Keyword(s):  
Linear Stability ◽  
Transition Point ◽  
Binary Alloys ◽  
Linear Stability Theory ◽  
Mushy Layer ◽  
Gravity Modulation ◽  
Solutal Convection ◽  
Mushy Layers ◽  
Stefan Number ◽  
Stability Results

The linear stability theory is used to investigate the effects of gravity modulation on solutal convection in mushy layers found in solidifying binary alloys. The gravitational field is modeled to consist of constant part and a sinusoidally varying part. The linear stability results are presented for both the synchronous and subharmonic solutions, and it is demonstrated that up to the transition point between the synchronous and subharmonic regions, increasing the frequency of vibration rapidly stabilizes the solutal convection. However, beyond the transition point, further increases in the frequency tends to destabilize convection. It is also demonstrated that the effect of increasing the ratio of the Stefan number and the solid composition (ηo) is to destabilize the solutal convection.

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