引湯管による地中溫度の分布と引湯の冷却

Abstract

The mathematical treatment of the problem as to the distribution of the underground temperature generated by subterranean conduit of hot water was incomplete up to now, when the radius of conduit is not negligibly small relative to the depth of it. And the consideration for the ground surface conditions was inadequate. The author gets the solution when a cylindrical thermal origin is buried in the gronnd and the surface condition is the Newton cooling. This solution agrees with the Awbery’s solution at limiting case that the radius of cylinder approaches to zero. Then, the solution is expressed by the asymptotic series to be convenient for numeration. The cooling of hot water flowing through the conduit is discussed by using of the above solution. Then，it is confirmed theoretically that the surface condition is not effective to the cooling of the hot water.