Affiliation:
1. National Mining University
Abstract
It is the first generalized 3D mathematic model, which is created for calculating temperature fields in the empty isotropic rotary body, which is restricted by end surfaces and lateral surface of rotation and rotates with constant angular velocity around the axis OZ, with taking into account finite velocity of the heat conductivity in the form of the Dirichlet problem. In this work, an integral transformation was formulated for the 2D finite space, with the help of which a temperature field in the empty isotropic rotary body was determined in the form of convergence series by the Fourier functions.
Publisher
Trans Tech Publications, Ltd.
Subject
Condensed Matter Physics,General Materials Science,Atomic and Molecular Physics, and Optics
Reference7 articles.
1. Berdnik, M. H. (2005). Matematichne modeljuvannja temperaturnogo polja v cilіndrі, jakij obertaetsja, z urahuvannjam kіncevoi shvidkostі poshirennja tepla. Pitannja prikladnoї matematiki і matematichnogo modeljuvannja, 37-44.
2. Berdnyk, M.H. (2017). Mathematical model of and method for solving the neumann generalized heat-exchange problem for a cylinder with homogeneous layers. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, (4), 86-91.
3. Povstenko, Y. (2013). Time-fractional heat conduction in an infinite medium with a spherical hole under Robin boundary condition. Fract. Calc. Appl. Anal, (16), 356-369.
4. Kuwashimo Kensuke, & Tominori Yamada. (1978). Temperature distribution within a rotatinq cylindrieal body. Bull. JSME, 21(152), 266-272.
5. Markovich, B.M. (2010). Rіvnjannja matematichnoї fіziki. Lvіv.: Vidavnictvo Lvіvskoi polіtehnіki.
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