The Green Function of the Cylindrical Body in Conduction of Heat and Temperature Distribution of the Cylindrical Body Heated by Moving Heat Source

概要

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In order to discuss the thermal aspect of a cylinder under grinding or rollers, a brake disc and a gear under operation, temperature distribution caused by the moving heat source should be analyzed as the first step. Authors studied to rearrange the definition of Green function in accordance with Entropy Minimum Theory, and by means of variational method, introduced the Green function of a cylindrical body for 48 various boundary and thermal boundary conditions. Then, formulas of temperature distribution about the following three examples are obtained, (1) a cylindrical body with infinite length, heated by a moving band heat source; (2) a cylindrical body with finite length, heated by a band heat source with longitudinal distribution; and (3) a disc heated by a moving face heat source upon the disc. Finally, numerical results of Example (1) are graphically illustrated.
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