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Application of harmonic polynomials as complete solutions of Laplace equation in an inverse heat conduction problem
Author(s) -
Hożejowski L.,
Hożejowska S.,
Piasecka M.
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310165
Subject(s) - heat transfer coefficient , laplace transform , thermal conduction , mathematical analysis , heat transfer , mathematics , harmonic , inverse , heat equation , laplace's equation , orthogonal polynomials , thermodynamics , distribution (mathematics) , differential equation , physics , geometry , quantum mechanics
The area of interest is the issue of heat transfer into Freon 123 flowing through a narrow vertical channel. The paper presents a computational procedure whose aim is to determine a local heat transfer coefficient. In the described experiment thermosensitive liquid crystals were used for measuring temperature on the heating surface. Since the temperature distribution can be approximated with a linear combination of harmonic polynomials, the heat transfer coefficient is expressed with the use of these polynomials. solving differential equations, PWN, Warszawa 1960 (in Polish)