Andris Buikis, Margarita Buike, "Multidimensional Intensive Steel Quenching and Wave Power Models for Cylindrical Sample," WSEAS Transactions on Heat and Mass Transfer, vol. 13, pp. 76-86, 2018, DOI:
Andris Buikis, Margarita Buike. Multidimensional Intensive Steel Quenching and Wave Power Models for Cylindrical Sample.
WSEAS Transactions on Heat and Mass Transfer. 2018;13:76-86.
WSEAS Transactions on Heat and Mass Transfer
Print ISSN: 1790-5044, E-ISSN: 2224-3461
Volume 13, 2018
Multidimensional Intensive Steel Quenching and Wave Power Models for Cylindrical Sample
Authors: ,
Abstract: In this paper we develop mathematical models for 3-D, 2-D and one-dimensional hyperbolic heat equations (wave equation or telegraph equation) with inner source power and construct their analytical solutions for the determination of the initial heat flux for cylindrical sample. In some cases we give expression of wave energy. Some solutions of time inverse problems are obtained in the form of first kind Fredholm integral equation, but others has been obtained in closed analytical form as series. We viewed both direct and inverse problems at the time.
Keywords:
Hyperbolic Equation, Ocean Energy, Steel Quenching, Green Function, Exact Solution, Inverse Problem, Fredholm integral equation, Series
Pages: 76-86 WSEAS Transactions on Heat and Mass Transfer, ISSN / E-ISSN: 1790-5044 / 2224-3461, Volume 13, 2018, Art. #7 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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