Mohammed Nikchi, Hamid Hamza, Khalid Zniber, Jawad Lahjomri and Abdelaziz Oubarra

Abstract: This paper investigates an analytical solution of 2D steady-state heat conduction in two orthotropic cylinders. The whole lateral surface is subjected to a flux density while the end sections are maintained at prescribed temperatures. The resolution of the problem is carried out analytically by the variable separation technique, taking into account the boundary conditions and the continuity of temperatures and flux at the interface between the two mediums. The solution expressed in terms of Bessel function showed that ratio of the main thermal conductivities for each medium and the ratio of the radial thermal conductivities of the two mediums have a significant effect on the thermal level in the two mediums as well as on the appearance of the isotherms.

Keywords: Two orthotropic mediums, cylinder geometry, variable separation method, Bessel function, main thermal conductivities, isotherms, axial and radial temperature profiles.

Date Published: November 5, 2021
DOI: 10.11159/jffhmt.2021.026

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