Abstract:
The sufficient conditions for the existence of an optimal thickness of an orthotropic dividing wall are determined with the zero-order Hankel integral transform. Both wall surfaces participate in a heat transfer with external media with constant temperatures, and one of them is also affected by a stationary axisymmetric heat flux with a Gaussian-type intensity. The need to minimize the temperature of the most heated point of the object of study is used as an optimality criterion. A sufficient condition is obtained in the form of an inequality that establishes a connection between the thermophysical characteristics of the orthotropic material of the wall and the parameters of the external thermal effects. The accuracy of the obtained condition was established by a computational experiment.