Analytical solution of two-phase spherical Stefan problem by heat polynomials and integral error functions

Kharin, Stanislav N.; Sarsengeldin, Merey M.; Kharin, Stanislav N; Nouri, Hassan; Merey M, Sarsengeldin

Abstract

© 2016 Author(s). On the base of the Holm model, we represent two phase spherical Stefan problem and its analytical solution, which can serve as a mathematical model for diverse thermo-physical phenomena in electrical contacts. Suggested solution is obtained from integral error function and its properties which are represented in the form of series whose coefficients have to be determined. Convergence of solution series is proved.

• Presentation Conference Type: Conference Paper (published)
• Acceptance Date: May 4, 2016
• Online Publication Date: Aug 10, 2016
• Publication Date: Aug 10, 2016
• Deposit Date: Nov 14, 2016
• Publicly Available Date: Sep 10, 2017
• Journal: AIP Conference Proceedings
• Print ISSN: 0094-243X
• Electronic ISSN: 1551-7616
• Publisher: AIP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 1759
• Issue: 020031
• DOI: https://doi.org/10.1063/1.4959645
• Keywords: Thomson effect, symmetric and asymmetric contacts
• Public URL: https://uwe-repository.worktribe.com/output/908106
• Publisher URL: http://dx.doi.org/10.1063/1.4959645
• Additional Information: Corporate Creators : Institute of Mathematics and Mathematical Modeling, 050010, Almaty, Kazakhstan
• Contract Date: Nov 14, 2016