The onset of thermal convection in a horizontal fluid layer heated from below with time-dependent heat flux

2002 ◽  
Vol 14 (3) ◽  
pp. 930-937 ◽  
Author(s):  
Dae Jun Yang ◽  
Chang Kyun Choi
Keyword(s):  
Heat Flux ◽  
Thermal Convection ◽  
Fluid Layer ◽  
Time Dependent ◽  
Horizontal Fluid Layer

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

Correlation Equations for Turbulent Thermal Convection in a Horizontal Fluid Layer Heated Internally and from Below

1978 ◽  
Vol 100 (3) ◽  
pp. 416-422 ◽  
Author(s):  
F. B. Cheung
Keyword(s):  
Boundary Layer ◽  
Thermal Convection ◽  
Fluid Layer ◽  
Lower Surface ◽  
Rate Variation ◽  
Correlation Equations ◽  
Volumetric Heating ◽  
Local Boundary ◽  
Simple Boundary ◽  
Horizontal Fluid Layer

High Rayleigh number thermal convection in a horizontal fluid layer with uniform volumetric energy sources and a constant rate of bottom heating is studied analytically by a simple boundary layer approach. Heat transfer characteristics of the layer are defined in terms of local boundary-layer variables. Correlation equations are derived for the upper and the lower surface Nusselt numbers as functions of two independent Rayleigh numbers, based respectively on the surface to surface temperature difference and the volumetric heating rate. Variation of the turbulent core temperature, which so far has not been determined successfully by existing analytical methods, is obtained. This is found to depend on a single dimensionless parameter which measures the relative rates of internal and external heating. Results of this study are presented with available experimental data.

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

Thermal instability in a horizontal fluid layer: effect of boundary conditions and non-linear temperature profile

1964 ◽  
Vol 18 (4) ◽  
pp. 513-528 ◽  
Author(s):  
E. M. Sparrow ◽  
R. J. Goldstein ◽  
V. K. Jonsson
Keyword(s):  
Heat Flux ◽  
Rayleigh Number ◽  
Boundary Conditions ◽  
Temperature Profile ◽  
Fluid Layer ◽  
Bounding Surface ◽  
Fixed Temperature ◽  
Linear Temperature ◽  
Lower Bounding ◽  
Horizontal Fluid Layer

An investigation is carried out to determine the conditions marking the onset of convective motion in a horizontal fluid layer in which a negative temperature gradient occurs somewhere within the layer. In such cases, fluid of greater density is situated above fluid of lesser density. Consideration is given to a variety of thermal and hydrodynamic boundary conditions at the surfaces which bound the fluid layer. The thermal conditions include fixed temperature and fixed heat flux at the lower bounding surface, and a general convective-radiative exchange at the upper surface which includes fixed temperature and fixed heat flux as special cases. The hydrodynamic boundary conditions include both rigid and free upper surfaces with a rigid lower bounding surface. It is found that the Rayleigh number marking the onset of motion is greatest for the boundary condition of fixed temperature and decreases monotonically as the condition of fixed heat flux is approached. Non-linear temperature distributions in the fluid layer may result from internal heat generation. With increasing departures from the linear temperature profile, it is found that the fluid layer becomes more prone to instability, that is, the critical Rayleigh number decreases.

Temporal evolution of thermal convection in an initially stably-stratified horizontal fluid layer

2004 ◽  
Vol 43 (8) ◽  
pp. 817-823 ◽  
Author(s):  
Chang Kyun Choi ◽  
Joung Hwan Park ◽  
Hee Kwan Park ◽  
Hong Je Cho ◽  
Tae Joon Chung ◽  
...  
Keyword(s):  
Thermal Convection ◽  
Temporal Evolution ◽  
Fluid Layer ◽  
Horizontal Fluid Layer
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