Analytical Solution and Numerical Simulation of Heat Transfer in Cylindrical- and Spherical-Shaped Bodies

Analytical Solution and Numerical Simulation of Heat Transfer in Cylindrical- and Spherical-Shaped Bodies

New analytical solutions of the heat conduction equation obtained by utilizing a self-similar Ansatz are presented in cylindrical and spherical coordinates. Then, these solutions are reproduced with high accuracy using recent explicit and unconditionally stable finite difference methods. After this,...

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Bibliographic Details
Main Authors: Humam Kareem Jalghaf, Endre Kovács, Imre Ferenc Barna, László Mátyás
Format: Article
Language:English
Published: MDPI AG 2023-07-01
Series:Computation
Subjects:
numerical time integration
diffusion equation
heat equation
cylindrical coordinates
spherical coordinates
unconditional stability
Online Access:https://www.mdpi.com/2079-3197/11/7/131

Internet

https://www.mdpi.com/2079-3197/11/7/131

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