Condition for the Existence of the Optimal Wall Thickness Dividing Two Different Environments with Local Heat Exposure
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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.
About the authors
Bauman Moscow State Technical University
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Email: pvlx@mail.ru
Russian Federation, Moscow, 105005
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