Estimation of linear expansion coefficient and thermal diffusivity by photoacoustic numerical self-consistent procedure

Author:

Nesic M. V.1ORCID,Popovic M. N.1ORCID,Galovic S. P.1ORCID,Djordjevic K. Lj.1ORCID,Jordovic-Pavlovic M. I.2ORCID,Miletic V. V.3,Markushev D. D.4ORCID

Affiliation:

1. “VINCA” Institute of Nuclear Sciences—National Institute of thе Republic of Serbia, University of Belgrade, P.O. box 522, Belgrade 11351, Serbia

2. College of Applied Sciences, Trg svetog Save 34, Uzice 31000, Serbia

3. Faculty of Philosophy, University of East Sarajevo, Pale 71420, Bosnia and Herzegovina

4. 4Institute of Physics, University of Belgrade, Pregrevica 118, Belgrade 11080, Serbia

Abstract

In this paper, a self-consistent inverse procedure is developed for the estimation of linear thermal expansion coefficient and thermal diffusivity of solids from transmission photoacoustic measurement. This procedure consists of two single-parameter fitting processes applied alternately: phase data are fitted by shifting thermal diffusion coefficient, while amplitude data are fitted by shifting thermal expansion coefficient. Each fitting process uses the resulting parameter of the other, previously finished one, thus converging to the best solution-pair achievable. In numerical experiments, the convergence proves to be very fast. The achieved parameter estimation error is as low as 1%, and it can be lowered further more by increasing the fitting resolution in parameter space. The application of the procedure on experimentally obtained aluminum photoacoustic response (measurements) on three thickness levels returns the estimates of its thermal diffusion and thermal expansion coefficients within expected literature boundaries.

Funder

Ministry of Education and Science of the Republic of Serbia

Publisher

AIP Publishing

Subject

General Physics and Astronomy

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