Temperature Estimation for Heat Conduction in A 1-D Thin Plate: Study of The Effect of Boundary Temperature Changing With A Step Function
Keywords:
1-D Heat conduction, A step function temperature, Duhamel’s TheoremAbstract
In this study, the effect of temperature changing at boundary of a thin plate is studied. At Boundary of the thin plate, temperature changes with a step function. To estimate temperature within the thin plate, numerical methods are applied, and these numerical results are compared with results of Duhamel’s Theorem which is the analytical method. Different numerical methods show the same trend as the thin plate temperature calculation with the analytical method. However, the temperature estimation nearby boundary of thin plate with numerical methods has high deviation value: Fully Implicit Method shows the deviation of ± 1.37 ๐C and Crank-Nicolson Method shows the deviation of ± 0.77 ๐C.
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