流体によって加熱される中空円柱の熱応力

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  • Thermal Stresses in a Long Hollow Cylinder Heated by Fluids
  • リュウタイ ニ ヨッテ カネツ サレル チュウクウ エンチュウ ノ ネツ オウリョク

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In the present paper, the author analyses the temperature and the thermal stresses int the long hollow cylinder a<r<b, initially at zero temperature, which is heated by heat transfer at r=a from a medium at temperature T1 and cooled by radiation at r=b into a medium at zero temperature. The rigorous solutions are represented by the form of infinite series. When the parameter κt/a2 (κ : diffusivity, t : time) is small, the convergence of those series is unpleasantly slow. In order to avoid these, the author introduced the approximate formulas well suited to this region. It is shown that the solutions in the cases of the constant surface temperature may be obtained as the special cases of the above problem. Numerical calculations are carried out for three cases of b/a with various values of coefficients of heat transfer.

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