The Thermoconvective Instability in Hydrodynamics of Relaxational Liquids

1993 ◽  
pp. 277-287 ◽  
Author(s):  
I. Sh. Akhatov ◽  
R. G. Chembarisova
Keyword(s):  
Thermoconvective Instability

scholarly journals Thermoconvective instability of paramagnetic fluids in a nonuniform magnetic field

1998 ◽  
Vol 57 (5) ◽  
pp. 5564-5571 ◽  
Author(s):  
Jie Huang ◽  
Donald D. Gray ◽  
Boyd F. Edwards
Keyword(s):  
Magnetic Field ◽  
Nonuniform Magnetic Field ◽  
Thermoconvective Instability

Thermoconvective instability during electrodialysis

2006 ◽  
Vol 42 (5) ◽  
pp. 531-537 ◽  
Author(s):  
V. A. Shaposhnik ◽  
V. I. Vasil’eva ◽  
R. B. Ugryumov ◽  
M. S. Kozhevnikov
Keyword(s):  
Thermoconvective Instability

Some Remarks on Thermoconvective Instability in Completely Confined Regions

1972 ◽  
Vol 94 (2) ◽  
pp. 234-236 ◽  
Author(s):  
P. A. Jennings ◽  
R. L. Sani
Keyword(s):  
Thermoconvective Instability

scholarly journals Thermo-convective instability in a rotating ferromagnetic fluid layer with temperature modulation

Open Physics ◽  
2018 ◽  
Vol 16 (1) ◽  
pp. 868-888
Author(s):  
Precious Sibanda ◽  
Osman Adam Ibrahim Noreldin
Keyword(s):  
Differential Equations ◽  
Magnetic Force ◽  
Fluid Layer ◽  
Temperature Modulation ◽  
Weakly Nonlinear ◽  
Thermoconvective Instability ◽  
Ferromagnetic Fluid ◽  
Truncated Fourier Series ◽  
Rayleigh Numbers ◽  
The Heat Transfer Coefficient

Abstract We study the thermoconvective instability in a rotating ferromagnetic fluid confined between two parallel infinite plates with temperature modulation at the boundaries. We use weakly nonlinear stability theory to analyze the stationary convection in terms of critical Rayleigh numbers. The influence of parameters such as the Taylor number, the ratio of the magnetic force to the buoyancy force and the magnetization on the flow behaviour and structure are investigated. The heat transfer coefficient is analyzed for both the in-phase and the out-of-phase modulations. A truncated Fourier series is used to obtain a set of ordinary differential equations for the time evolution of the amplitude of convection for the ferromagnetic fluid flow. The system of differential equations is solved using a recent multi-domain spectral collocation method that has not been fully tested on such systems before. The solutions sets are presented as sets of trajectories in the phase plane. For some supercritical values of the Rayleigh number, spiralling trajectories that transition to chaotic solutions are obtained. Additional results are presented in terms of streamlines and isotherms for various Rayleigh numbers.

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