A Method for Analyzing the Thermal Conduction Problems by a Dual Difference Equation

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概要

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• A previous difference method has a geometrical restriction in analyzing numerically thermal conduction problems about materials with any shape. Therefore it has been impossible to generalize the numerical solution of three-dimensional thermal conduction problems by the previous method. In this paper we propose a dual difference method which is free from the geometrical restriction of the previous method. Thereby the application of difference calculus can be extended to two-dimensional and three-dimentional problems about materials with any shape. The accuracy and the relative error depending on the shape of elements were compared and fount out to be smaller than in the previous method. Then , we made an experiment about the induction heating of a steel ball, and compare the experimental results with calculated results by dual difference method. A close agreement between measured and calculated values was obtained.

• 一般社団法人日本機械学会の論文

著者

• Nishimoto Kiyoshi

  Department Of Mechanical Engineering Faculty Of Engineering Tokyo Institute Of Technology

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• A Method for Analyzing the Thermal Conduction Problems by a Dual Difference Equation

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