物质内部有辐射的热传导问题

本文研究了在透明物质内部有辐射的热传导问题,得到了普遍的传热方程。接着详细研究了在稳定的情形下普遍传热方程在四种特殊形状的物体中的解,这四种特殊形状是,平面、圆柱体、球体、和长椭球。在平面问题中进行了数值计算,所得的结果与以前开累所得的不同。本文指出,开累忽略了热向各个方向辐射的性质,而只考虑了辐射在温度变化的方向,因而所得的传热方程不同。

THEORY OF HEAT CONDUCTION IN THE PRESENCE OF RADIATION

The theory of heat conduction in the presence of radiation inside a transparent body is developed, and a general equation of heat transfer has been obtained. The general equation of heat transfer in the stationary state is solved for four special forms of bodies, namely, plane, circular cylinder, sphere, and prolate spheroid. In the plane problem, numerical calculation is carried out, with results. differing frpm those obtained previously by Kellet. It is pointed out in the present paper that Kellet has neglected the property of radiation emitting in all directions, but only considered the radiation along the direction of temperature change, so that the equation of heat transfer obtained by Kellet is different.