Heat Conduction Problem for Tightly Compressed Adjacent Layers of Plane Plates with Gradually Varying Heat Conduction Coefficients

In dealing with the heat conduction problem of the tightly compressedadjacent plane plates with different constant thermal conduction coefficients,we conventionally solve it layer by layer requiring to fulfill two require-ments of equal temperature and equal heat flux at every two directly con-tacting intermediate surfaces.In this paper,we consider only such a case that the adjacent plane plat-es possess a gradually varying thermal conduction coefficients in orderto offer a chance to solve such problem once for all instead of pursuitingthe old tedious and time-consuming procedure,i.e.,by solving the problemlayer by layer.