熱源形状が変化する円形領域の温度分布について

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This report is the two dimensional problems of the steady heat conduction in the circular domain. That is to say, the temperature distribution in a given domein changing the size and the form of a heat source with the same area were measured by means of conductive sheet analogy and calculated by finite element method. The results of this experimental study are as follow. Experimental values by conductive sheat analogy were fair good agreement calculated values by finite element method. Thus, we found that experimental study have a good accuracy. Consequentialy, conductive sheet analogy should be utilized for visualize the temperature distribution of the complicated structure. On the other hand, assuming that the boundary of a heat source is a circular from, We adopt the well-known equation to obtain the temperature distribution in the concentric circular pipe with a circular hole at the center. When the boundary of a given domain and a heat source related with circular arc and straight line (consists of plane) at excentrically set postion, isothermal line which predicated by this equation on the comparatible axis in the domain were agreed experimental values approximately. But in the case of relation between circular arc and corner (consists of point) calculated values have a little bit deviation from experimental values. The range of isothermal line in a given domain is in proportion to the aspect ratio of a heat source. And then isothermal line at high temperature zone appears along the form of a heat source. From the experimental results. Considering the moving ratio of isotherms in a circular domain, we constructed the chart which can predict the temperature distribution for the change of the set position of a heat source in a given domain.
1987-03-20

熱源形状が変化する円形領域の温度分布について

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