https://doi.org/10.1051/epjconf/20122502007
The use of Trefftz functions for approximation of measurement data in an inverse problem of flow boiling in a minichannel
Kielce University of Technology,
AL. 1000-lecia PP
7, 25-314
Kielce,
Poland
e-mail: ztpsf@tu.kielce.pl, hozej@tu.kielce.pl
The paper is devoted to a computational problem of predicting a local heat transfer coefficient from experimental temperature data. The experimental part refers to boiling flow of a refrigerant in a minichannel. Heat is dissipated from heating alloy to the flowing liquid due to forced convection. The mathematical model of the problem consists of the governing Poisson equation and the proper boundary conditions. For accurate results it is required to smooth the measurements which was obtained by using Trefftz functions. The measurements were approximated with a linear combination of Trefftz functions. Due to the computational procedure in which the measurement errors are known, it was possible to smooth the data and also to reduce the residuals of approximation on the boundaries.
© Owned by the authors, published by EDP Sciences, 2012