An advanced diffusion model is used to calculate the concentration of a substance diffused in a solid cylindrical medium. The mathematical process in this study adopts Neumann’s algorithm for applying the advancing model to revise the solution derived by Carslaw and Jaeger. The modified solution clearly indicates a diffusion front which does not exist in the original model. Calculating the diffusion depth becomes possible and is novel for a solid cylindrical medium. The major contribution of this study is the application of the advancing model to solve the diffusion problem of a cylindrical medium in cylindrical coordinate system.
Tsai, Cho-Liang and Lin, Ching-Chang
"DIFFUSION IN A SOLID CYLINDER PART I: ADVANCING MODEL,"
Journal of Marine Science and Technology: Vol. 23:
2, Article 1.
Available at: https://jmstt.ntou.edu.tw/journal/vol23/iss2/1