Analytical Solutions to Temperature Field in Various Relative-Scale Media Subjected to a Reciprocating Motion Point Heat Source

• Main Authors: Huang, D. (Author), Lu, X. (Author), Lu, Y. (Author), Sheng, X. (Author), Xu, Y. (Author), Zhang, J. (Author)
• Format: Article
• Language: English
• Published: MDPI 2022
• Subjects: analytical solutions; dimensionless parameters; reciprocating motion point heat source; temperature evolution influence rules
• Online Access: View Fulltext in Publisher

 To reveal the temperature rise evolution mechanism of isotropic media subjected to reciprocating motion constant-strength point heat source, various forms of analytical solutions are derived on the basis of differentiated relative scales, and non-dimensionalized parameters are de-signed to characterize the thermal distribution regularities by utilizing numerical calculations. Temperature rise curves of media subjected to a reciprocating motion point heat source allow similar quasi-steady-state characteristics to appear, which finally achieve a stable state, so that the values of surplus temperature oscillate around the constant time-average quantity. The time to reach quasi-steady state, the time-averaged quantity and the fluctuation amplitude of surplus temperature are comprehensively impacted by the dimensionless distance parameter γ, the con-vective heat transfer parameter ω and the velocity and travel parameter β. This work discusses influence rules of temperature evolution in various relative-scale media and further enriches the moving heat source theory. © 2022 by the authors. Licensee MDPI, Basel, Switzerland.