Determination of the thermoelastic state of an elliptical cylinder with an internal heat source during external heat exchange and a radiant heat flow coming from one external side

Authors

UDC

539.3

EDN

LYTAZM

DOI:

10.31429/vestnik-23-1-49-55

Abstract

The work is devoted to the issues of thermoelasticity of the state of an elliptical cylinder. It considers the problem of the distribution of the temperature field of an elliptical body with an internal heat source during external heat exchange and the incoming heat flow from the other side. To solve it, the paper considers the solution of the Laplace equation in an elliptic coordinate system. The main method is the Fourier method. The obtained expression of the temperature field of the cylinder made it possible to determine the resulting internal thermal stresses. The result obtained can be used in engineering calculations of heat exchangers and solar collectors.

Keywords:

heat transfer, ellipse, thermal stress, Laplace equation, convective heat transfer, radiant heat flow, Fourier method, hypergeometric functions

Funding information

The study did not have sponsorship.

Author info

  • Alexandr I. Kanareykin

    канд. техн. наук, доцент кафедры высшей математики и физики Российского государственного геологоразведочного университета им. Серго Орджоникидзе (МГРИ)

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Issue

Vol. 23 (2026) No. 1

Pages

49-55

Section

Mechanics

Dates

Submitted

November 7, 2025

Accepted

March 17, 2026

Published

March 24, 2026

How to Cite

[1]
Kanareykin, A.I., Determination of the thermoelastic state of an elliptical cylinder with an internal heat source during external heat exchange and a radiant heat flow coming from one external side. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2026, т. 23, № 1, pp. 49–55. DOI: 10.31429/vestnik-23-1-49-55

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Copyright (c) 2026 Канарейкин А.И.

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