Open photoacoustic cell determination of the thermal interface resistance in two layer systems

Pichardo, J. L.; Alvarado‐Gil, J. J.

doi:10.1063/1.1342021

Cited by 26 publications

(10 citation statements)

References 23 publications

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“…Assuming that the layers are in perfect thermal contact, that is to say, there are not any interface thermal resistance between them [1,24,26], the boundary conditions obtained from the usual requirement of temperature and heat flux continuity at the interface x ¼ l, are given by:…”

Section: Formulation Of the Problem And Solutionsmentioning

confidence: 99%

Thermal wave oscillations and thermal relaxation time determination in a hyperbolic heat transport model

Ordoñez-Miranda

Alvarado‐Gil

2009

International Journal of Thermal Sciences

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Section: Formulation Of the Problem And Solutionsmentioning

confidence: 99%

Thermal wave oscillations and thermal relaxation time determination in a hyperbolic heat transport model

Ordoñez-Miranda

Alvarado‐Gil

2009

International Journal of Thermal Sciences

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“…Since the hyperbolic thermal conduction length for any frequency is larger than the parabolic thermal diffusion length, the hyperbolic thermal waves are less attenuated than the parabolic ones. Considering that there is a thermal resistance R (m 2 · K · W −1 ) at the interface of the layers [41,42], the boundary conditions obtained from the usual requirement of the temperature discontinuity and heat flux continuity at the interfaces x = l 1 , l are given by…”

Section: Mathematical Formulation and Solutionsmentioning

confidence: 99%

Effective Thermal Properties of Multilayered Systems with Interface Thermal Resistance in a Hyperbolic Heat Transfer Model

Ordoñez-Miranda¹,

Alvarado‐Gil²

2010

Int J Thermophys

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One-dimensional thermal wave transport in multilayered systems with an interface thermal resistance is studied under the framework of the CattaneoVernotte hyperbolic heat conduction model, considering modulated heat excitation under Dirichlet and Neumann boundary conditions. For a single semi-infinite layer, analytical formulas useful in the measurement of its thermal relaxation time as well as additional thermal properties are presented. For a composite-layered system, in the thermally thin regime, with the Dirichlet boundary condition, the well known effective thermal resistance formula is obtained, while for the Neumann problem, only the heat capacity identity is found. In contrast, in the thermally thick case, an analytical expression for both Dirichlet and Neumann conditions is obtained for the effective thermal diffusivity of the whole system in terms of the thermal properties of the individual layers and their interface thermal resistance. The limits of applicability of this equation, in the thermally thick regime, are shown to provide useful and simple results in the characterization of layered systems and that they can be reduced to the results obtained using the Fourier approach. The role of the thermal relaxation time, the interface thermal resistance, and the implications of these results in the possibility of enhancement in heat transport are discussed.

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“…Assuming that the layers are in perfect thermal contact [21], the boundary conditions obtained from the usual requirement of temperature and heat flux continuity at the interfaces z = 0, l 1 are given by…”

Section: Theorymentioning

confidence: 99%

Diffusion of Methylene Blue in Phantoms of Agar Using a Photoacoustic Technique

et al. 2010

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In this work, the kinetics of diffusion of methylene blue in agar aqueous solution is studied using a photoacoustic technique. Two agar phantoms solutions in water with a relation of mass/volume of 0.01 % and 0.05 % were analyzed. The study was performed using a modified Rosencwaig photoacoustic cell that is enclosed by transparent windows, on both sides. The sample is deposited directly on top of the upper window. A red light beam, at a fixed modulation frequency, is sent through the lower window illuminating the sample and inducing the photoacoustic effect inside the closed chamber of the cell. At the beginning of the experiment, a droplet of 100 µL of agar solution is deposited; afterwards, the signal stabilizes, and 10 µL of methylene blue aqueous solution (0.0125 g · mL −1 ) is added to the surface of the agar. During the first seconds of the experiment, the photoacoustic signal amplitude increases followed by a gradual and long decay. Results for modulation frequencies in the range from 10 Hz to 80 Hz for both agar concentrations are presented. A simple theoretical approach is presented to analyze the experimental data. It is demonstrated that the kinetics of the process can be parameterized as a function of the changes of an effective optical absorption coefficient. From these results, the characteristic time, in which the dye diffusion process stabilizes, is obtained. It is found that this time is larger for samples with a higher agar concentration. These differences provide important results for biomedical sciences in which agar gels are used as phantoms resembling some of the properties of living organs and tissues.

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Open photoacoustic cell determination of the thermal interface resistance in two layer systems

Cited by 26 publications

References 23 publications

Thermal wave oscillations and thermal relaxation time determination in a hyperbolic heat transport model

Thermal wave oscillations and thermal relaxation time determination in a hyperbolic heat transport model

Effective Thermal Properties of Multilayered Systems with Interface Thermal Resistance in a Hyperbolic Heat Transfer Model

Diffusion of Methylene Blue in Phantoms of Agar Using a Photoacoustic Technique

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