Vibrational and convective instability of a plane horizontal fluid layer at finite vibration frequencies

1996 ◽  
Vol 31 (5) ◽  
pp. 666-671 ◽  
Author(s):  
G. Z. Gershuni ◽  
I. O. Keller ◽  
B. L. Smorodin
Keyword(s):  
Convective Instability ◽  
Fluid Layer ◽  
Vibration Frequencies ◽  
Horizontal Fluid Layer

Vibrational-convective instability of a horizontal fluid layer with internal heat sources

1986 ◽  
Vol 20 (5) ◽  
pp. 665-668
Author(s):  
G. Z. Gershuni ◽  
E. M. Zhukhovitskii ◽  
A. K. Kolesnikov
Keyword(s):  
Convective Instability ◽  
Fluid Layer ◽  
Internal Heat ◽  
Heat Sources ◽  
Internal Heat Sources ◽  
Horizontal Fluid Layer

The onset of convective instability in a horizontal fluid layer subjected to a constant heat flux from below

2004 ◽  
Vol 47 (19-20) ◽  
pp. 4377-4384 ◽  
Author(s):  
Chang Kyun Choi ◽  
Joung Hwan Park ◽  
Min Chan Kim ◽  
Jong Dae Lee ◽  
Jae Jin Kim ◽  
...  
Keyword(s):  
Heat Flux ◽  
Convective Instability ◽  
Fluid Layer ◽  
Constant Heat Flux ◽  
Constant Heat ◽  
Horizontal Fluid Layer

Effect of Phase Thermal Modulation Without Stationary Temperature Gradient on the Threshold of Convection

2016 ◽  
Vol 138 (10) ◽  
Author(s):  
K. Souhar ◽  
S. Aniss
Keyword(s):  
Temperature Gradient ◽  
Convective Instability ◽  
Stable Equilibrium ◽  
Equilibrium Configuration ◽  
Fluid Layer ◽  
Dimensionless Frequency ◽  
Time Varying ◽  
Horizontal Fluid Layer ◽  
Stationary Component ◽  
Good Agreement

The convective instability of a horizontal fluid layer subject to a time varying gradient of temperature is investigated. The stationary component of the temperature gradient is considered equal to zero and the oscillating components imposed on the horizontal boundaries are in phase and with the same amplitude. The aim of the present paper is to examine the effect of this type of modulation on the onset of convective instability. We show that unlike the case where the equilibrium configuration is stable in the absence of modulation, we have instability when the temperature at the horizontal boundaries is modulated in phase. Also, we observe that in the limit of low and high dimensionless frequency of modulation, ω < 0.5 and ω > 140, the basic state tends to a stable equilibrium configuration and for an intermediate dimensionless frequency, the system is potentially unstable. The results obtained from analytical asymptotic study for low and high dimensionless frequency are in good agreement with the numerical ones.

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