Modelling of a Buried Deep Horizontal Line Heat Source in a Cross-Anisotropic Thermoelastic Medium

2012 ◽  
Author(s):  
John C.-C. Lu ◽  
Feng-Tsai Lin
Keyword(s):  
Heat Source ◽  
Horizontal Line ◽  
Thermoelastic Medium ◽  
Line Heat Source ◽  
Anisotropic Thermoelastic Medium

An Experimental Investigation of the Plume Velocity Field Above a Horizontal Line Heat Source

1977 ◽  
Vol 99 (4) ◽  
pp. 609-613 ◽  
Author(s):  
H. J. Nawoj ◽  
R. S. Hickman
Keyword(s):  
Velocity Field ◽  
Heat Source ◽  
Vertical Velocity ◽  
Line Source ◽  
Lateral Diffusion ◽  
Similarity Function ◽  
Horizontal Line ◽  
Line Heat Source ◽  
Stream Functions ◽  
Energy And Momentum

The vertical velocity field of a natural convection plume arising from a horizontal line heat source was investigated experimentally in detail. The measured vertical velocities were found to be 20–25 percent less than that predicted by analysis. Various causative factors for the discrepancy between analytical and experimental results were investigated, and shown to have a minimal effect. The power law relationship between the plume vertical velocity and energy input to the line source was found to be substantially greater than that predicted by analysis. A normalized similarity function did provide an excellent representation of the lateral diffusion of energy and momentum in the plume, indicating the validity of the boundary layer approximation for the velocity field. It was postulated that further refinement of the stream functions defined by existing analyses is required to accommodate the effects of the upstream flow field that exists in the physical representation of a line source and is omitted from consideration in the development of the analyses.

Experimental Study on Instability of Natural Convection Flow above a Horizontal Line Heat Source

1979 ◽  
Vol 47 (1) ◽  
pp. 312-319 ◽  
Author(s):  
Hirowo Yosinobu ◽  
Yoshimoto Onishi ◽  
Shinsuke Amano ◽  
Shuji Enyo ◽  
Shunichi Wakitani
Keyword(s):  
Experimental Study ◽  
Natural Convection ◽  
Heat Source ◽  
Convection Flow ◽  
Horizontal Line ◽  
Natural Convection Flow ◽  
Line Heat Source

Buoyant plume above a horizontal line heat source

1973 ◽  
Vol 16 (4) ◽  
pp. 755-768 ◽  
Author(s):  
Fujii Tetsu ◽  
Morioka Itsuki ◽  
Uehara Haruo
Keyword(s):  
Heat Source ◽  
Horizontal Line ◽  
Buoyant Plume ◽  
Line Heat Source

Steady free convection above a point heat source and a horizontal line heat source in a vertical magnetic field

1969 ◽  
Vol 39 (4) ◽  
pp. 753-780 ◽  
Author(s):  
A. M. Soward
Keyword(s):  
Magnetic Field ◽  
Temperature Distribution ◽  
Heat Source ◽  
Thermal Convection ◽  
Dimensionless Number ◽  
Horizontal Line ◽  
Vertical Magnetic Field ◽  
Point Heat Source ◽  
Line Heat Source ◽  
Buoyancy Forces

An electrically conducting fluid is contained above a horizontal plane. A uniform vertical magnetic field is applied externally and the plane is maintained at a uniform temperature except for a point or a line heat source. Density variations are ignored except where they give rise to buoyancy forces.(i) The point heat source. Non-linear effects are small sufficiently far from the source. The resulting buoyancy forces interact with the magnetic forces to maintain a radial inflow towards the heat source. This fluid then escapes vertically as a jet, its structure now depending on the additional influence of viscosity. The perturbations of the temperature distribution and the magnetic field due to the motion are obtained. Finally, the effects of these perturbations back on to the fluid velocity are considered. The most striking features of the perturbations are (a) the action of the jet as a line source of heat for the fluid in the outer regions, (b) the large (compared to other perturbations) eddy in the jet.(ii) The line heat source. The temperature distribution and magnetic field are weakly perturbed only if the thermal and electrical conductivities are sufficiently small. Similar results are obtained, as in (i) above, provided ε (a dimensionless number characterising the strength of thermal convection: see (1.32), (3.24)) is less than ¼. However, even for small ε, the effects of thermal convection cannot be ignored. Hence, superimposed on the jet is an eddy (driven by buoyancy forces) whose flux of fluid increases indefinitely with its height above the plane. When ε > ¼, the results suggest that numerous eddies will be formed.

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