On the solution of heat conduction problems for thermosensitive bodies heated by convective heat exchange

1993 ◽  
Vol 63 (1) ◽  
pp. 94-97 ◽  
Author(s):  
V. S. Popovich
Keyword(s):  
Heat Conduction ◽  
Heat Exchange ◽  
Convective Heat ◽  
Convective Heat Exchange

Temperature State of the Anisotropic Spherical Layer During Convective Heat Exchange with the Environment

2019 ◽  
pp. 40-55
Author(s):  
V.S. Zarubin ◽  
V.V. Leonov ◽  
V.S. Jr. Zarubin
Keyword(s):  
Heat Conduction ◽  
Heat Exchange ◽  
Convective Heat ◽  
Outer Surface ◽  
Heat Conduction Problem ◽  
Convective Heat Exchange ◽  
Spherical Layer ◽  
Coating Material ◽  
Temperature State ◽  
Heat Shielding

The paper focuses on the process of steady heat conduction in a spherical layer of a heat-shielding coating made of anisotropic material. The inner surface of the layer is ideally heat-insulated but its outer surface is exposed to heating by convective heat exchange with the environment, the temperature of which varies along this surface. Based on the obtained solution of the linear heat conduction problem, we quantitatively assessed the influence of the degree of anisotropy of the coating material, its relative thickness, intensity of convective heat transfer, and uneven distribution of ambient temperature on the equalization of temperature distribution in the spherical layer. The results obtained can be used to select the characteristics of an anisotropic coating material in order to reduce the temperature of the outer surface of the spherical layer in the zone of the most intense heating.

scholarly journals Hydrodynamics and heat exchange of crystal pulling from melts. Part I: Experimental studies of free convection mode

2019 ◽  
Vol 5 (3) ◽  
pp. 91-100
Author(s):  
Vladimir S. Berdnikov
Keyword(s):  
Heat Exchange ◽  
Convective Heat ◽  
Capillary Flow ◽  
Crystallization Front ◽  
Experimental Studies ◽  
Convective Heat Exchange ◽  
Czochralski Technique ◽  
Study Results ◽  
Front Shape ◽  
Prandtl Numbers

This work is a brief overview of experimental study results for hydrodynamics and convective heat exchange in thermal gravity capillary convection modes for the classic Czochralski technique setup obtained at the Institute of Thermophysics, Siberian Branch of the Russian Academy of Sciences. The experiments have been carried out at test benches which simulated the physics of the Czochralski technique for 80 and 295 mm diameter crucibles. Melt simulating fluids with Prandtl numbers Pr = 0.05, 16, 45.6 and 2700 have been used. Experiments with transparent fluids have been used for comparing the evolution of flow structure from laminar mode to well-developed turbulent mode. Advanced visualization and measurement methods have been used. The regularities of local and integral convective heat exchange in the crucible/melt/crystal system have been studied. The experiments have shown that there are threshold Grashof and Marangoni numbers at which the structure of the thermal gravity capillary flow undergoes qualitative changes and hence the regularities of heat exchange in the melt change. The effect of melt hydrodynamics on the crystallization front shape has been studied for Pr = 45.6. Crystallization front shapes have been determined for the 1 × 105 to 1.9 × 105 range of Grashof numbers. We show that the crystallization front shape depends largely on the spatial flow pattern and the temperature distribution in the melt.

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