Energy Research, Vol. 4, Issue 3, Jul  2020, Pages 1-17; DOI: https://doi.org/10.31058/j.er.2020.43001 https://doi.org/10.31058/j.er.2020.43001

Exact Analytical Solutions in Closed Recurrent form for the Non-Stationary Linear Inverse Heat Conduction Problem for Bodies of One-Dimensional Geometry with Boundary Conditions on One And Two Surfaces

Energy Research, Vol. 4, Issue 3, Jul  2020, Pages 1-17.

DOI: https://doi.org/10.31058/j.er.2020.43001

Lobanov Igor Evgenievich 1*

1 Technical Sciences, Moscow Aviation Institute, Moscow, Russia

Received: 25 December 2019; Accepted: 17 February 2020; Published: 22 July 2020

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Abstract

In this paper, we obtained exact analytical solutions for the non-stationary linear inverse heat conduction problem for bodies of one-dimensional geometry with boundary conditions on one surface, as well as on two surfaces for a plane body, a hollow cylinder, and a hollow sphere, obtained in a closed recurrent form. The recurrent form of the solution of the non-stationary linear inverse heat conduction problem for bodies of one-dimensional geometry with boundary conditions on one surface, as well as on two surfaces for a plane body, hollow cylinders and spheres, presented in the article is a solution in a closed form from a single position, which is not always perhaps explicitly.

Keywords

Thermal Conductivity, Analytical, Non-stationary, Linear, One-dimensional, Inverse Problem, Surface, Border Conditions, Unilateral, Bilateral, Recurrent , Flat, Spherical, Cylindrical

Copyright

© 2017 by the authors. Licensee International Technology and Science Press Limited. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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