In this research, Duhamel’s formula is derived from a semi-infinite laterally insulated bar. The induction process is developed in as much detail as possible for application to engineering problems. Here, the tool mainly used is the convolution theorem. The objective of this study is to apply this formula to applications in heat conduction. More specifically, it is intended to be applied to understand and solve how heat is transferred inside an object.

Duhamel’s formula, generalized Laplace transform, convolution.

Received: September 26, 2023;  Accepted: November 1, 2023; Published: November 21, 2023

How to cite this article: Tae Hee Lee, Sang Bok Nam and Hwajoon Kim, Derivation of Duhamel’s formula from a semi-infinite laterally insulated bar, JP Journal of Heat and Mass Transfer 36 (2023), 159-166. http://dx.doi.org/10.17654/0973576323057

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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