A Methodology of Predicting Cavity Geometry Based on the Scanned Surface Temperature Data—Prescribed Heat Flux at the Cavity Side

1981 ◽  
Vol 103 (1) ◽  
pp. 42-46 ◽  
Author(s):  
C. K. Hsieh ◽  
K. C. Su
Keyword(s):  
Heat Flux ◽  
Analytical Procedure ◽  
Three Dimensional ◽  
Constant Heat Flux ◽  
Temperature Data ◽  
Cavity Surface ◽  
Constant Heat ◽  
Cavity Depth ◽  
Surface Temperature Data ◽  
Wall Position

A methodology is developed to predict a rectangular cavity lying underneath the surface of a plane wall that dissipates heat by convection to the surroundings. This is also the surface whose temperature is scanned. For a prescribed constant heat flux applying on the cavity surface the cavity depth can be predicted by equating the heat in and out of the system. An analytical procedure is developed that permits checking of the assumed cavity wall position based on comparison between the calculated and the measured surface temperatures. The method is also extended to the prediction of holes in a three-dimensional body (parallelepiped). Examples are provided to illustrate applications.

Three-Dimensional Numerical Analysis for Convection of Air in a Bore Space of a Superconducting Magnet

2003 ◽  
Author(s):  
G. Tomita ◽  
M. Kaneda ◽  
T. Tagawa ◽  
H. Ozoe
Keyword(s):  
Magnetic Field ◽  
Heat Flux ◽  
Natural Convection ◽  
Numerical Analysis ◽  
Strong Magnetic Field ◽  
Three Dimensional ◽  
Superconducting Magnet ◽  
Constant Heat Flux ◽  
Constant Heat ◽  
Magnetizing Force

Three-dimensional numerical computations were carried out for the natural convection of air in a horizontal cylindrical enclosure in a magnetic field, which is modeled for a bore space of a horizontal superconducting magnet. The enclosure was cooled from the circumferential sidewall at the constant heat flux and vertical end walls were thermally insulated. A strong magnetic field was considered by a one-turn electric coil with the concentric and twice diameter of the cylinder. Without a magnetic field, natural convection occurs along the circumferential sidewall. When a magnetic field was applied, magnetizing force induced the additional convection, that is, the cooled air at the circumferential wall was attracted to the location of a coil. Consequently, the temperature around the coil decreased extensively.

A Methodology of Predicting Cavity Geometry Based on Scanned Surface Temperature Data—Prescribed Surface Temperature at the Cavity Side

1980 ◽  
Vol 102 (2) ◽  
pp. 324-329 ◽  
Author(s):  
C. K. Hsieh ◽  
K. C. Su
Keyword(s):  
Surface Temperature ◽  
Three Dimensional ◽  
Mesh Size ◽  
Front Surface ◽  
Temperature Data ◽  
Cavity Wall ◽  
Back Surface ◽  
Measured Temperature ◽  
Surface Temperature Data ◽  
Wall Position

The scanned surface temperature data from a body are used to predict the cavity lying underneath the surface. The basic system under investigation is a plane wall having a rectangular cavity at the back surface. The front surface dissipates heat by convection; this is also the surface whose temperature is scanned. For a prescribed surface temperature specified on the cavity side, a numerical solution is found convenient to predict the cavity top and the approximate location of the cavity wall. A recheck of the cavity wall position calls for matching the recalculated surface temperature with the measured temperature. The data are found to be well behaved to the extent that an interpolation is possible when the mesh size chosen happens to miss the wall position. The methodology can also be extended to prediction of holes in a three-dimensional body.

Analytical Three-Dimensional Solution for Heat Sink Temperature

2004 ◽  
Author(s):  
Antti Lehtinen ◽  
Reijo Karvinen
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Heat Sink ◽  
Three Dimensional ◽  
Base Plate ◽  
Steady State Solution ◽  
Constant Heat Flux ◽  
Constant Heat ◽  
Dimensional Solution ◽  
Centerline Temperature

In the paper an analytical steady-state solution for heat transfer in a heat sink is presented. The heat sink consists of an array of fins and a base plate. The array is cooled by forced convection. There is a prescribed heat flux distribution at the bottom of the base plate. In order to obtain an analytical solution the assumption of a constant heat transfer coefficient is made. Furthermore, the array is assumed to be so short that the centerline temperature of the flow equals that of the free stream. The results are applied to a specific case of a single heat source, which generates constant heat flux and is mounted at the center of the bottom of the base plate. The use of the results is illustrated with a couple of simple numerical examples.

Rate of Sublimation of Ice by Radiative Heating in Freeze-Etching

1980 ◽  
Vol 38 ◽  
pp. 618-619
Author(s):  
Yeshayahu Talmon
Keyword(s):  
Heat Flux ◽  
Freeze Fracture ◽  
Constant Heat Flux ◽  
Radiative Heating ◽  
Constant Heat ◽  
Entire Sample ◽  
Simplified Method ◽  
Freeze Etching ◽  
Sublimation Rates ◽  
Fractured Surface

To bring out details in the fractured surface of a frozen sample in the freeze fracture/freeze-etch technique,the sample or part of it is warmed to enhance water sublimation.One way to do this is to raise the temperature of the entire sample to about -100°C to -90°C. In this case sublimation rates can be calculated by using plots such as Fig.1 (Talmon and Thomas),or by simplified formulae such as that given by Menold and Liittge. To achieve higher rates of sublimation without heating the entire sample a radiative heater can be used (Echlin et al.). In the present paper a simplified method for the calculation of the rates of sublimation under a constant heat flux F [W/m2] at the surface of the sample from a heater placed directly above the sample is described.

scholarly journals The exact analytical solution of the dual-phase-lag two-temperature bioheat transfer of a skin tissue subjected to constant heat flux

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Hamdy M. Youssef ◽  
Najat A. Alghamdi
Keyword(s):  
Heat Flux ◽  
Analytical Solution ◽  
Exact Analytical Solution ◽  
Constant Heat Flux ◽  
Bioheat Transfer ◽  
Skin Tissue ◽  
Phase Lag ◽  
Dual Phase ◽  
Constant Heat ◽  
Two Temperature

Abstract This work is dealing with the temperature reaction and response of skin tissue due to constant surface heat flux. The exact analytical solution has been obtained for the two-temperature dual-phase-lag (TTDPL) of bioheat transfer. We assumed that the skin tissue is subjected to a constant heat flux on the bounding plane of the skin surface. The separation of variables for the governing equations as a finite domain is employed. The transition temperature responses have been obtained and discussed. The results represent that the dual-phase-lag time parameter, heat flux value, and two-temperature parameter have significant effects on the dynamical and conductive temperature increment of the skin tissue. The Two-temperature dual-phase-lag (TTDPL) bioheat transfer model is a successful model to describe the behavior of the thermal wave through the skin tissue.

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