2011Advanced materials researchRequires access

The Temperature Calculation of Axisymmetric Multilayer Cylinder

Yu Li

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Abstract

A general temperature calculation method of axisymmetric multilayer cylinder was deduced according to the axisymmetric heat conduction of cylinder. Four types of combined boundary conditions were summarized, and temperature computational formulas of axisymmetrical monolayer cylinder were formed under each type. The intermediate interface temperatures and radial stresses of axisymmetrical multilayer cylinder satisfy tridiagonal linear system of eouations, which can be solved with pursuit method. The calculation method is applied universally. Meanwhile, the corresponding calculating program was developed.

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A general temperature calculation method of axisymmetric multilayer cylinder was deduced according to the axisymmetric heat conduction of cylinder. Four types of combined boundary conditions were summarized, and temperature computational formulas of axisymmetrical monolayer cylinder were formed under each type. The intermediate interface temperatures and radial stresses of axisymmetrical multilayer cylinder satisfy tridiagonal linear system of eouations, which can be solved with pursuit method. The calculation method is applied universally. Meanwhile, the corresponding calculating program was developed.

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Available abstract

A general temperature calculation method of axisymmetric multilayer cylinder was deduced according to the axisymmetric heat conduction of cylinder. Four types of combined boundary conditions were summarized, and temperature computational formulas of axisymmetrical monolayer cylinder were formed under each type. The intermediate interface temperatures and radial stresses of axisymmetrical multilayer cylinder satisfy tridiagonal linear system of eouations, which can be solved with pursuit method. The calculation method is applied universally. Meanwhile, the corresponding calculating program was developed.

Key concepts: Rotational symmetry, Cylinder, Tridiagonal matrix, Thermal conduction, Materials science, Mechanics, Boundary value problem, Boundary (topology)

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