等速運動する熱源によって加熱される半無限体の熱伝導問題

概要

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1. When a heat source travelled along the surface of a semi-infinite body with a constant velocity, υ : the temperature, θ : in semi-infinite body was given by [numerical formula] where ω=x-vt, β=v/a. 2. Though eigen values of this partial differential equation were complex number, the solution was obtained in the form of a real Fourier integral. Thus temperature distribution in semi-infinite body and heat transmission through the surface were calculated. 3. This Fourier integral was numerically calculable by digital computer. 4. It was much easier to solve the above partial differential equation by the accelerated Liebmann method using digital computer than to solve by Fourier 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
1962-05-25