General temperature computational method of linear heat conduction multilayer cylinder
According to the axisymmetric heat conduction of monolayer cylinder, a general method was deduced to calculate the axisymmetric temperature of linear heat conduction multilayer cylinder. Four types of boundary conditions were summarized and formulas for each type were derived. Then, a general calculating program was developed. Four temperature formulas could be expressed by a uniform equation, and the intermediate interface temperatures of axisymmetrical linear conduction multilayer cylinder satisfied tridiagonal linear and nonlinear systems of equations, which could be solved with the pursuit method and the Newton’s method, respectively. With the calculating program, the temperature at any point of linear heat conduction multilayer cylinder could be obtained.
Key wordsmultilayer cylinder axisymmetric heat conduction temperature linear heat conduction
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