Abstract
Thermal transport in high-strength polymethacrylimide (PMI) foam insulations is described, with special emphasis on the density and temperature effects on the thermal transport performance. Measurements of the effective thermal conductivity are performed by a freestanding sensor-based \(3\omega \) method. A linear relationship between the density and the effective thermal conductivity is observed. Based on the analysis of the foam insulation morphological structures and the corresponding geometrical cell model, the quantitative contribution of the solid conductivity and the gas conductivity as well as the radiative conductivity to the total effective thermal conductivity as a function of the density and temperature is calculated. The agreement between the curves of the results from the developed model and experimental data indicate the model can be used for PMI foam insulating performance optimization.
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Abbreviations
- \(A\) :
-
Transfer parameter
- \(b\) :
-
Half-width of the metal strip
- \(B\) :
-
Parameter
- \(d\) :
-
Thickness
- \(e\) :
-
Emissive power
- \(f\) :
-
Mass fraction
- \(I\) :
-
Electric current
- \(K\) :
-
Extinction coefficient
- \(l\) :
-
Length between two inside pads
- \(L\) :
-
Thickness of the thin sample
- \(P\) :
-
Heating power
- \(q\) :
-
Heat flux
- \(t\) :
-
Time
- \(T\) :
-
Transmission, temperature
- \(U\) :
-
Electric voltage
- \(V\) :
-
Volume
- \(\alpha _\mathrm{CR}\) :
-
Temperature coefficient of resistance
- \(\beta \) :
-
Integrating factor
- \(\delta \) :
-
Porosity
- \(\lambda \) :
-
Thermal conductivity
- \(\varLambda \) :
-
Wavelength
- \(\rho \) :
-
Density
- \(\sigma _\mathrm{B}\) :
-
Stefan–Boltzmann constant
- \(\tau \) :
-
Optical thickness
- \(\varPhi \) :
-
Diameter
- \(\omega \) :
-
Angular frequency
- b:
-
Blackbody
- c:
-
Cell
- e:
-
Effective
- f:
-
Foam
- g:
-
Gaseous
- m:
-
Mean
- r:
-
Radiative
- s:
-
Strut, solid
- w:
-
Wall
- 0:
-
Bulk material
- \(1\omega \) :
-
First harmonic component
- \(3\omega \) :
-
Third harmonic component
References
H.F. Seibert, Reinf. Plast. 50, 44 (2006)
V.L. Rizov, Mater. Des. 27, 947 (2006)
H.Y. Tang, L. Chen, Adv. Mater. Res. 160–162, 1309 (2011)
Roehm & Haas GM BH, Foamable thermoplastic synthetic resins. GB 1045229 (1966)
P. Huch, G. Schröder, Verfahren zur Herstellung von durch Erhitzen schaeum baren Kunststoffen. DE 1595214 (1970)
J. Wang, S.Y. Lai, F.X. Li, Adv. Mater. Res. 600, 157 (2012)
G. Marsh, Reinf. Plast. 54, 31 (2010)
Röhm GmbH & Co. KG, Polymethacrylimide plastic foam materials with reduced inflammability in addition to a method for the production thereof. EP 1478690 (2005)
J. Kuhn, H.-P. Ebert, M.C. Arduini-Schuster, D. Büttner, J. Fricke, Int. J. Heat Mass Transf. 35, 1795 (1992)
E. Placido, M.C. Arduini-Schuster, J. Kuhn, Infrared Phys. Technol. 46, 219 (2005)
L.M. Zwolinski, in Insulation Materials, Testing and Applications, ed. by D.L. McElroy, J.F. Kimpflen (American Society for Testing and Materials, Philadelphia, 1990), p. 189
M. Bomberg, D.A. Brandreth, in Insulation Materials, Testing and Applications, ed. by D.L. MeElroy, J.F. Kimpflen (American Society for Testing and Materials, Philadelphia, 1990), p. 156
R. Caps, U. Heinemann, J. Fricke, Int. J. Heat Mass Transf. 40, 269 (1997)
T. Chen, G.C. Zhang, X.H. Zhao, J. Polym. Res. 17, 171 (2010)
S.Q. Zeng, R. Greif, P. Stevens, M. Avers, A. Hunt, J. Mater. Res. 11, 687 (1996)
U. Heinemann, R. Caps, J. Fricke, Int. J. Heat Mass Transf. 39, 2115 (1996)
R. Siegel, J.R. Howell, Thermal Radiation Heat Transfer, 3rd edn. (Taylor & Francis, New York, 1992)
L. Qiu, D.W. Tang, X.H. Zheng, G.P. Su, Rev. Sci. Instrum. 82, 045106 (2011)
L. Qiu, X.H. Zheng, G.P. Su, D.W. Tang, Int. J. Thermophys. 34, 2261 (2013)
L.R. Glicksman, in Low Density Cellular Plastics, ed. by N.C. Hilyard, A. Cunningham (Chapman & Hall, London, 1994), p. 115
L.R. Glicksman, M. Torpey, J. Build. Phys. 12, 257 (1989)
K. Kadoya, N. Matsunaga, A. Nagashima, J. Phys. Chem. Ref. Data 14, 947 (1985)
H.W. Russell, J. Am. Ceram. Soc. 18, 1 (1935)
Acknowledgments
The authors acknowledge financial support from Projects 51306183 and 51336009 supported by National Natural Science Foundation of China and National Basic Research Program of China (Grant No. 2012CB933200).
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Qiu, L., Zheng, X.H., Zhu, J. et al. Thermal Transport in High-Strength Polymethacrylimide (PMI) Foam Insulations. Int J Thermophys 36, 2523–2534 (2015). https://doi.org/10.1007/s10765-014-1651-z
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DOI: https://doi.org/10.1007/s10765-014-1651-z