HEAT CONDUCTION AND HEAT EXCHANGE IN TECHNOLOGICAL PROCESSESON THE INFLUENCE OF THE REINFORCEMENT STRUCTURE OF FIBROUS SHELLS OF REVOLUTION ON THE HEAT CONDUCTION IN THEM
Yu. V. Nemirovskii and A. P. Yankovskii UDC 536.21 The initial boundary-value problem on the heat conduction in shells reinforced with fibers of constant cross section has been considered. It has been established that the specific, anisotropic, inhomogeneous properties of such a shell are determined by its heat conductivity dependent on the thermophysical properties of the phases of the composite material of the shell, the parameters of its reinforcement, and the geometry of this shell. The ways of reducing the three-dimensional problem on heat conduction to the two-dimensional one and the possibilities of reducing the dimension of this problem for thin shells of revolution reinforced symmetrically relative to their axis by two units have been determined. The stationary temperature fields of concrete thin shells of revolution with different Gaussian curvatures and different reinforcement structures have been compared. It is shown that the reinforcement structure and the geometry of a shell of revolution substantially influence the temperature distribution in this shell, which opens up a wide range of ways selecting designs of such shells with improved thermophysical parameters. Institute of Technical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, 4/1 Institutskaya Str., Novosibirsk, 630090, Russia. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 79, No. 2, pp. 145-155, March-April, 2006. Original article submitted July 28, 2004.