Time-dependent thermal convection in a stably stratified fluid layer heated from below

1984 ◽  
Vol 27 (11) ◽  
pp. 2617 ◽  
Author(s):  
Hiromasa Ueda ◽  
Satoru Komori ◽  
Takeshi Miyazaki ◽  
Hiroyuki Ozoe
Keyword(s):  
Thermal Convection ◽  
Fluid Layer ◽  
Stratified Fluid ◽  
Time Dependent

Onset of thermal convection in a horizontal fluid layer under ramp heating

2002 ◽  
Author(s):  
Dae Jun Yang ◽  
Jake Kim ◽  
Chang Kyun Choi ◽  
In Gook Hwang
Keyword(s):  
Thermal Convection ◽  
Fluid Layer ◽  
Horizontal Fluid Layer

Effect of Low-Frequency Modulation on Thermal Convection Instability

2001 ◽  
Vol 56 (6-7) ◽  
pp. 509-522 ◽  
Author(s):  
P. K. Bhatia ◽  
B. S. Bhadauria
Keyword(s):  
Asymptotic Solution ◽  
Temperature Difference ◽  
Frequency Modulation ◽  
Thermal Convection ◽  
Low Frequency ◽  
Horizontal Layer ◽  
Time Dependent ◽  
Stability Criteria ◽  
Steady Temperature ◽  
The Stability

Abstract The stability of a horizontal layer of fluid heated from below is examined when, in addition to a steady temperature difference between the horizontal walls of the layer a time-dependent low-frequency per­ turbation is applied to the wall temperatures. An asymptotic solution is obtained which describes the be­ haviour of infinitesimal disturbances to this configuration. Possible stability criteria are analyzed and the results are compared with the known experimental as well as numerical results.

scholarly journals A centre manifold approach to solitary waves in a sheared, stably stratified fluid layer

1996 ◽  
Vol 3 (2) ◽  
pp. 110-114 ◽  
Author(s):  
W. B. Zimmerman ◽  
M. G. Velarde
Keyword(s):  
Nonlinear Waves ◽  
Fluid Layer ◽  
Approximate Equation ◽  
Stratified Fluid ◽  
Material Surface ◽  
Centre Manifold ◽  
Wave Approximation ◽  
Long Wave ◽  
Long Wave Approximation ◽  
Energy Argument

Abstract. The centre manifold approach is used to derive an approximate equation for nonlinear waves propagating in a sheared, stably stratified fluid layer. The evolution equation matches limiting forms derived by other methods, including the inviscid, long wave approximation leading to the Korteweg- deVries equation. The model given here allows large modulations of the height of the waveguide. This permits the crude modelling of shear layer instabilities at the upper material surface of the waveguide which excite solitary internal waves in the waveguide. An energy argument is used to support the existence of these waves.

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