Linear stability analysis of bifurcations with a spatially periodic, fluctuating control parameter

1997 ◽  
Vol 55 (6) ◽  
pp. 7068-7078 ◽  
Author(s):  
Joanna Röder ◽  
Heinrich Röder ◽  
Lorenz Kramer
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Control Parameter ◽  
Spatially Periodic

On the Interaction of Insoluble Spherical Particles with a Solidifying Interface in the Presence of Morphological Instabilities

1998 ◽  
Vol 529 ◽  
Author(s):  
L. Hadji ◽  
A.M.J. Davis
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Binary Alloy ◽  
Linear Stability Analysis ◽  
Control Parameter ◽  
Critical Value ◽  
Planar Interface ◽  
Unidirectional Solidification ◽  
Spherical Particles ◽  
Dilute Suspension

AbstractThe interaction of a dilute suspension of spherical particles with a moving solidifying front is investigated analytically. The front emerges during the unidirectional solidification of a dilute binary alloy. A linear stability analysis of the planar interface reveals that the presence of the particles has a destabilizing effect, i.e. the critical value of the control parameter, taken here to be the concentration faraway from the interface, for the onset of the Mullins-Sekerka instability is lowered due to the particles' presence.

Sign in / Sign up

Export Citation Format

Share Document