Analytical study of the non-stationary temperature field of a thermally thin plate

Autor: L A Bigaeva, A Y Gilev, I I Latypov, G S Mukhametshina, N A Shaikhutdinova
Rok vydání: 2021
Předmět:
Zdroj: IOP Conference Series: Materials Science and Engineering. 1155:012007
ISSN: 1757-899X
1757-8981
DOI: 10.1088/1757-899x/1155/1/012007
Popis: The report analytically investigates the unsteady temperature field of a plate experiencing intense thermal action. The problem is reduced to solving a singularly perturbed boundary value problem of the nonstationary thermal conductivity equation with nonlinear boundary conditions on movable borders. The approximate solution of which is obtained in the form of an asymptotic decomposition of the solution in the sense of Poincaré in degrees of small parameters, depending on the proximity of the point under consideration to the borders.
Databáze: OpenAIRE