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Date of download: 7/10/2016 Copyright © ASME. All rights reserved. From: Investigation of Anisotropic Thermal Conductivity in Polymers Using Infrared Thermography.

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Presentation on theme: "Date of download: 7/10/2016 Copyright © ASME. All rights reserved. From: Investigation of Anisotropic Thermal Conductivity in Polymers Using Infrared Thermography."— Presentation transcript:

1 Date of download: 7/10/2016 Copyright © ASME. All rights reserved. From: Investigation of Anisotropic Thermal Conductivity in Polymers Using Infrared Thermography J. Heat Transfer. 2014;136(11):111303-111303-8. doi:10.1115/1.4028324 Schematic of rectangular sheet with laser beam propagating in the z 3 -direction Figure Legend:

2 Date of download: 7/10/2016 Copyright © ASME. All rights reserved. From: Investigation of Anisotropic Thermal Conductivity in Polymers Using Infrared Thermography J. Heat Transfer. 2014;136(11):111303-111303-8. doi:10.1115/1.4028324 Temperature profiles from analytic solution in Eq. (14) (solid) and from FE solution with three values of Bi W (dashed): T(x 1, 0) (black / blue online only) and T(0, x 2 ) (gray / red online only). All the profiles are for unstretched (λ = 1) samples with Bi 0 = 0.035. Figure Legend:

3 Date of download: 7/10/2016 Copyright © ASME. All rights reserved. From: Investigation of Anisotropic Thermal Conductivity in Polymers Using Infrared Thermography J. Heat Transfer. 2014;136(11):111303-111303-8. doi:10.1115/1.4028324 Temperature profiles from analytic solution in Eq. (14) (solid) and from FE solution with BiW=0.35/λ (dashed): T(x 1, 0) (black / blue online only) and T(0, x 2 ) (gray / red online only). The Biot number on the faces of the sample is set to Bi = 0.035/λ. (a) Unstretched sample, λ = 1; (b) stretched sample with λ = 4:129, α 1 = 1.23, and α 2 = 0.954. Residuals between analytic and FE solutions are shown in the insets. Figure Legend:

4 Date of download: 7/10/2016 Copyright © ASME. All rights reserved. From: Investigation of Anisotropic Thermal Conductivity in Polymers Using Infrared Thermography J. Heat Transfer. 2014;136(11):111303-111303-8. doi:10.1115/1.4028324 Schematic of a sample before and after stretching showing the camera field of view and the area that is used for the analysis of the thermographs Figure Legend:

5 Date of download: 7/10/2016 Copyright © ASME. All rights reserved. From: Investigation of Anisotropic Thermal Conductivity in Polymers Using Infrared Thermography J. Heat Transfer. 2014;136(11):111303-111303-8. doi:10.1115/1.4028324 Schematic of the IRT experimental setup Figure Legend:

6 Date of download: 7/10/2016 Copyright © ASME. All rights reserved. From: Investigation of Anisotropic Thermal Conductivity in Polymers Using Infrared Thermography J. Heat Transfer. 2014;136(11):111303-111303-8. doi:10.1115/1.4028324 Averaged thermographs taken on a cross-linked PBD200k sample. (a) Unstretched sample, λ = 1 and Bi 0 = 0.029 ± 0.001. (b) Stretched sample, λ = 4.129, α 1 = 1.23 ± 0.049 and α 2 = 0.954 ± 0.039. The colormap in the side of the figures give the temperature in °C. Figure Legend:

7 Date of download: 7/10/2016 Copyright © ASME. All rights reserved. From: Investigation of Anisotropic Thermal Conductivity in Polymers Using Infrared Thermography J. Heat Transfer. 2014;136(11):111303-111303-8. doi:10.1115/1.4028324 Residuals distribution (bars) of the fit to Eq. (14) for the stretched sample thermograph (λ = 4.129) in Fig. 6(b) compared to a Gaussian distribution of the same average and standard deviation (solid line) Figure Legend:

8 Date of download: 7/10/2016 Copyright © ASME. All rights reserved. From: Investigation of Anisotropic Thermal Conductivity in Polymers Using Infrared Thermography J. Heat Transfer. 2014;136(11):111303-111303-8. doi:10.1115/1.4028324 Comparison of fits of Eq. (14) (solid lines) with data (circles) for the temperatures profiles T(x 1, 0) (black / blue online only) and T(0, x 2 ) (gray / red online only). (a) Unstretched sample, λ = 1 and Bi 0 = 0.029 ± 0.001; (b) stretched sample, λ = 4:129, α 1 = 1.23 ± 0.049 and α 2 = 0.954 ± 0.039. Residuals distributions for the fits are shown in the insets. Figure Legend:

9 Date of download: 7/10/2016 Copyright © ASME. All rights reserved. From: Investigation of Anisotropic Thermal Conductivity in Polymers Using Infrared Thermography J. Heat Transfer. 2014;136(11):111303-111303-8. doi:10.1115/1.4028324 Thermal conductivity ratios α 1 (squares) and α 2 (circles) versus stretch ratio λ for cross-linked PBD200k subjected to uni-axial elongation. Comparison of IRT method (gray / red online only) and FRS (black) techniques. Figure Legend:

10 Date of download: 7/10/2016 Copyright © ASME. All rights reserved. From: Investigation of Anisotropic Thermal Conductivity in Polymers Using Infrared Thermography J. Heat Transfer. 2014;136(11):111303-111303-8. doi:10.1115/1.4028324 Thermal conductivity ratios α 1 (squares) and α 2 (circles) versus normalized stress σ = G N for cross-linked PBD200k subjected to uni- axial elongation. Comparison of IRT method (gray / red online only) and FRS technique (open black). Also shown are results from a previous study (filled black) [22]. Figure Legend:

11 Date of download: 7/10/2016 Copyright © ASME. All rights reserved. From: Investigation of Anisotropic Thermal Conductivity in Polymers Using Infrared Thermography J. Heat Transfer. 2014;136(11):111303-111303-8. doi:10.1115/1.4028324 Test of the stress-thermal rule using IRT (gray / red online only) and FRS (open black) for cross-linked PBD200k subjected to uni- axial elongation. The slope of the line through the data gives the dimensionless stress thermal coefficient C t G N = 0.038 ± 0.009. Also shown are results from a previous study (filled black) [22]. Figure Legend:


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