Effective thermal conductivity of nonlinear composite media with contact resistance

Ni, Fan; Gu, G. Q.; Chen, K.M.

doi:10.1016/0017-9310(96)00156-1

Cited by 15 publications

(7 citation statements)

References 12 publications

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“…Although these method has been successfully used for the measurement with high accuracy, much attention should be paid to eliminate thermal contact resistance between the sensor and the specimen (13,14,15) . Since the resistance depends on the contact pressure, clamping both specimens tightly is important for the measurement (5,6,11) .…”

Section: Introductionmentioning

confidence: 99%

Measurement of Thermal Conductivity and Thermal Diffusivity of Solid Materials Using a Novel Stamp Sensor: A Feasibility Study with Numerical Analysis

Hadi

Nishitani

Wijayanta

et al. 2012

JTST

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Contact-probe methods have been developed to measure thermal transport properties of solid materials. Although they have an advantage of being used for non-destructive in-situ measurement, it has a substantial problem that the measured results are influenced by thermal contact between the probe and the specimen. To overcome this problem, we proposed a new technique using a gel to eliminate the contact resistance. A unique feature of the method is that a thin film heater is fabricated on a substrate at the bottom of a shallow cavity, which provides a gel layer of the thickness that is almost the same as the cavity depth. When we use this sensor, we press it against a surface of a specimen with a gel in between. We named it "stamp sensor" from its supposed use and appearance. The thermal conductivity and the thermal diffusivity of a specimen and the thickness of the gel layer are determined simultaneously by comparing the measured temperature rise of the sensor with that obtained by numerical analysis. The objective of the present paper is to demonstrate the feasibility of the method by virtual experiments. The process to determine the thermal conductivity and the thermal diffusivity was examined using simulated experimental data that have been generated from the temperature rise of the sensor obtained by numerical analyses with given artificial scattering. Effects of the scattering of the data, the heating power and the heating time on the measurement error were also discussed.

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Section: Introductionmentioning

confidence: 99%

Measurement of Thermal Conductivity and Thermal Diffusivity of Solid Materials Using a Novel Stamp Sensor: A Feasibility Study with Numerical Analysis

Hadi

Nishitani

Wijayanta

et al. 2012

JTST

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“…Notice that the improved lower bound (18) represents a remarkable improvement over the Ponte Castañeda bound (19). Also, notice that the elementary upper bound (17) and the improved lower bound (18) are practically indistinguishable. This fact is confirmed by the data in Table I, which contains the maximal values of the difference h i t of bounds (17) and (18) with respect to and Â for all the microstructures considered here.…”

Section: The Comparison Materials and Characterization Of The Microstrmentioning

confidence: 89%

“…Also, notice that the elementary upper bound (17) and the improved lower bound (18) are practically indistinguishable. This fact is confirmed by the data in Table I, which contains the maximal values of the difference h i t of bounds (17) and (18) with respect to and Â for all the microstructures considered here. The values in the first line are of max .h i t / for 2 OE 2, 5 and Â D 0.5, whereas the values in the other two lines are of max Â .h i t / for Â 2 OE0, Â p /, where Â p is the corresponding percolation value of the porosity Â, for D 2 (second line) and D 20 (third line), respectively.…”

Section: The Comparison Materials and Characterization Of The Microstrmentioning

confidence: 96%

See 1 more Smart Citation

Negligible microstructure in a class of porous nonlinear materials via variational bounds

Pérez-Fernández

León-Mecías

Bravo‐Castillero

2017

Math Methods in App Sciences

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Communicated by I. SevostianovThis work is devoted to the estimation of the effective energy density of porous nonlinear materials by means of variational bounds. Because of the unavailability of an improved upper bound, attention is turned to the improved bound obtained by considering constant nonzero polarization fields in the formal lower bound, which follows from the generalization to nonlinear behavior of the Hashin-Shtrikman variational principles. A particular class of nonlinearity is considered which is relevant in different physical situations. Also, 11 different microstructures are considered. Several computational experiments performed show that the elementary upper bound and the improved lower bound are indistinguishable, suggesting that nonlinearity dominates over the microstructural effects. In other words, at least for the nonlinearity considered here, the influence of microstructure on the effective behavior is negligible. So, in this case, there is no need to search for an improved upper bound, as the elementary one provides a simple but accurate estimate of the effective energy density.

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“…Ni et al (1997) applied the perturbation expansion method to nonlinear mixtures containing low-particle-volume concentrations of cylindrical particles with interfacial thermal resistance and derived formulas for linear and nonlinear effective thermal conductivities. Ni et al (1997) applied the perturbation expansion method to nonlinear mixtures containing low-particle-volume concentrations of cylindrical particles with interfacial thermal resistance and derived formulas for linear and nonlinear effective thermal conductivities.…”

Section: Interfacial Thermal Resistancementioning

confidence: 99%

Theoretical Modeling of Thermal Conductivity in Nanofluids

Das

Choi

et al. 2007

Nanofluids

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Effective thermal conductivity of nonlinear composite media with contact resistance

Cited by 15 publications

References 12 publications

Measurement of Thermal Conductivity and Thermal Diffusivity of Solid Materials Using a Novel Stamp Sensor: A Feasibility Study with Numerical Analysis

Measurement of Thermal Conductivity and Thermal Diffusivity of Solid Materials Using a Novel Stamp Sensor: A Feasibility Study with Numerical Analysis

Negligible microstructure in a class of porous nonlinear materials via variational bounds

Theoretical Modeling of Thermal Conductivity in Nanofluids

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