通気による岩盤の冷却と岩盤, 気流両温度の相互関係の解析について

抄録

The integro-differential equation for temperature θ(γ, t) of an infinite hollow cylinder (temperature diffusivity is k), which is kept constant temperature T initially and radius γ=b, and loses heat by the radiation from interior surface (γ=α) to air flow of temperature f (t) with transfer coefficient h, is set up as follows:
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G (γ, ξ) is Green's function belonging to the differential equation (γy')'=0 and satisfying the next boundary conditions:[y'-hy] a=0, yb=0.
Let λn, Φn (γ) be eigenvalue, eigenf unction of the kernel K (γ, ξ), the solution of above equation V (γ, t) is as follows:
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If we put the temperature of air flow f (t) is equal to Sθ(α, t)(0<S<1), f (t) may determined. Its solution is much complex, but if the product ah is large, the solution can be denoted simply.