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Heat transfer of a cylindrical tube for the case of a radiant heat flow from outside and under a boundary condition of the third kind from inside

DOI: 10.17586/1606-4313-2024-23-3-78-83
UDC 536.2

Heat transfer of a cylindrical tube for the case of a radiant heat flow from outside and under a boundary condition of the third kind from inside

Kanareykin Aleksandr I.

For citation: Kanareykin A.I. Heat transfer of a cylindrical tube for the case of a radiant heat flow from outside and under a boundary condition of the third kind from inside. Journal of International Academy of Refrigeration. 2024. No 3. p. 78-83. DOI: 10.17586/1606-4313-2024-23-3-78-83

Abstract
The article concerns the issues of heat transfer inside a cylindrical pipe. We consider the distribution of the temperature field of a cylindrical pipe for the case of a radiant heat flow from outside and under a boundary condition of the third kind from inside. At the same time, the issue under consideration is a stationary one. To solve it, we consider a solution of the Poisson equation and the Euler equation. The main method is the Fourier method. The resulting expression of the pipe temperature field has an analytical form containing a Fourier series. Based on the obtained dependence, the temperature field is found to change according to the law of cosine for the double argument. The paper also considers individual cases that follow from the main solution. The result obtained can be used in engineering calculations of heat exchangers.

Keywords: heat transfer, temperature field, tube, stationary thermal conductivity, boundary conditions of the second kind, Euler equation, boundary conditions of the third kind, radiant heat flux, Fourier series.

All references

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Heat transfer of a cylindrical tube for the case of a radiant heat flow from outside and under a boundary condition of the third kind from inside

Heat transfer of a cylindrical tube for the case of a radiant heat flow from outside and under a boundary condition of the third kind from inside

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