Heat Conduction in a Semi-Infinite Solid Heated by a Moving Heat Source along the Boundary
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概要
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1. When a heat source travels along the surface of a semi-infinite solid with a constant velocity ν, the temperature θ in the semi-infinite solid is given by [numerical formula] where w=x-vt, β=ν/α, and the temperature distribution of the heat source can be expressed as θ(w). 2. Though the eigen-values of this partial differential equation are complex numbers, the solution can be obtained in the form of a real Fourier's integral. Thus the temperature distribution in a semi-infinite solid and heat transmission through the surface are calculated. 3. This Fourier's integral was numerically calculable by a digital computer. 4. It was much easier to solve the above partial differential equation by the accelerated Liebmann's method using a digital computer than to solve it by the Fourier's integral method, and the result obtained by one method coincided with the result obtained by the other.
- 一般社団法人日本機械学会の論文
著者
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HASHIMOTO Seiya
Central Research Laboratory, Hitachi Ltd.
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Nakada Takashi
The Research Laboratory Of Precision Machinery And Electronics Tokyo Institute Of Technology
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Nakada Takashi
The Research Laboratory Of Precision Machinery And Electronics Tokyo Institute Of Technology.
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Hashimoto Seiya
Central Research Laboratory Hitachi Ltd.
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Nakada T.
The Research Institute For Tuberculosis And Leprosy Tohoku University
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