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An explicit numerical method for solving transient combined heat conduction and convection problems
Author(s) -
Gane C. R.,
Stephenson P. L.
Publication year - 1979
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620140804
Subject(s) - thermal conduction , stator , convergence (economics) , transient (computer programming) , mathematics , numerical analysis , convection , rotor (electric) , stability (learning theory) , computer science , control theory (sociology) , mechanics , mechanical engineering , engineering , mathematical analysis , physics , thermodynamics , control (management) , machine learning , artificial intelligence , economics , economic growth , operating system
This paper describes an explicit numerical method for solving transient combined heat conduction and convection problems. Applications include the cooling of many types of engineering plant; for example, stator and rotor windings of turbogenerators and high voltage underground cables. The Du Fort–Frankel and the fully implicit finite difference schemes have been used to solve the conduction and convection equations, respectively. It is shown that, with a suitable order of calculation, the overall method becomes explicit. Computational procedures are outlined and stability, accuracy and convergence are considered. Numerical examples are given to illustrate the use of the method and to validate some of the theoretical points. Results have also been obtained using existing numerical methods and have been compared with those from the proposed method. For certain problems, it is shown that the proposed method uses less overall computing time than other methods such as that devised by Crank and Nicolson.