Determination of the heat transfer coefficient from IRT measurement data using the Trefftz method

¹ Kielce University of Technology, Faculty of Management and Computer Modelling, 25-314 Kielce
² Kielce University of Technology, Faculty of Mechatronics and Mechanical Engineering, 25-314 Kielce

^a Corresponding author: beatam@tu.kielce.pl

Published online: 28 March 2016

Abstract

The paper presents the method of heat transfer coefficient determination for boiling research during FC-72 flow in the minichannels, each 1.7 mm deep, 24 mm wide and 360 mm long. The heating element was the thin foil, enhanced on the side which comes into contact with fluid in the minichannels. Local values of the heat transfer coefficient were calculated from the Robin boundary condition. The foil temperature distribution and the derivative of the foil temperature were obtained by solving the two-dimensional inverse heat conduction problem, due to measurements obtained by IRT. Calculations was carried out by the method based on the approximation of the solution of the problem using a linear combination of Trefftz functions. The basic property of this functions is they satisfy the governing equation. Unknown coefficients of linear combination of Trefftz functions are calculated from the minimization of the functional that expresses the mean square error of the approximate solution on the boundary. The results presented as IR thermographs, two-phase flow structure images and the heat transfer coefficient as a function of the distance from the channel inlet, were analyzed.