Thermal conduction in a homogeneous two-phase system

Pande, Rama; Kumar, Vikas; Chaudhary, D R

doi:10.1007/bf02875588

Cited by 34 publications

(19 citation statements)

References 14 publications

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“…Pande et al [30] also gave an expression for the prediction of effective thermal conductivity of a granular system by considering regular geometry of dispersed phase.…”

Section: Models For Two-phase Materialsmentioning

confidence: 97%

Predictions of Effective Thermal Conductivity of Complex Materials

Singh

2010

Advanced Structured Materials

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In this review, a comprehensive and systematic effort is made to incorporate the most significant and popular models for calculation of the effective thermal conductivity of complex materials and discuss their limitations. A brief review of the numerical techniques for prediction of the effective thermal conductivity of multi-phase materials is presented and discussed. The real structures and geometries around us are so vast and vivid, that one cannot use a single model to estimate effective thermal conductivity of complex materials in the whole range due to their inherent limitations.

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“…Pande et al [30] also gave an expression for the prediction of effective thermal conductivity of a granular system by considering regular geometry of dispersed phase.…”

Section: Models For Two-phase Materialsmentioning

confidence: 97%

Predictions of Effective Thermal Conductivity of Complex Materials

Singh

2010

Advanced Structured Materials

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“…The third type is a theoretical model based on the mechanism of heat transfer applicable to simplified geometries of the rock/fluid system. In the literature, efforts in this direction have been made by many authors [9,[12][13][14][15][16][17][18]. The proposed models have limited applicability and cannot be used for all types of systems, especially when the difference in the thermal conductivities of the constituent phases is very large.…”

Section: Models For Estimation Of Thermal Conductivitymentioning

confidence: 99%

Thermophysical Properties of Diorites along with the Prediction of Thermal Conductivity from Porosity and Density Data

Gul

Maqsood

2006

Int J Thermophys

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The main focus of this paper involves the use of models to predict the thermophysical properties of diorites. For the prediction of thermal conductivity, an existing mixing law and empirical models have been used. Due to the porosity dependence in all the existing models, ASTM (American Society for Testing and Materials) standard methods have been applied to measure the density, porosity, and specific gravity of diorite rocks taken from the Shewa-Shahbaz Garhi volcanic complex near Mardan, Pakistan. The chemical composition of these samples has been analyzed using the X-ray florescence technique. The theoretically calculated values of specific gravity and the density of the specimen based on the chemical composition and porosity are in good agreement with those obtained from experimental measurements at ambient conditions. The thermal conductivity and thermal diffusivity of these rocks have been measured simultaneously using the transient plane source (TPS) technique at room temperature. The effective thermal conductivity calculated from various models is in agreement with the experimental data within 15%. Simple correlations between estimated density and porosity and between the effective thermal conductivity and porosity are also established.

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“…The third type is a theoretical model based on the mechanism of heat transfer applicable to simplified geometries of the rock/fluid system. In the literature, efforts in this direction have been published [6,[8][9][10][11][12][13][14][15][16]. The two models proposed to date have limited applicability and cannot be used for all types of systems, especially when the difference in the thermal conductivities of the constituent phases is very large.…”

Section: Thermal Conductivity Prediction Modelsmentioning

confidence: 99%

Thermophysical Properties of Porous Sandstones: Measurements and Comparative Study of Some Representative Thermal Conductivity Models

Maqsood

Kamran

2005

Int J Thermophys

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The thermal conductivity and thermal diffusivity of porous consolidated sandstones have been measured simultaneously by the transient-plane source (TPS) technique in the temperature range from 280 to 330 K at ambient pressure using air as the saturant. The porosity and density parameters are measured using standard American Society for Testing and Materials (ASTM) methods at 307 ± 1 K. Data are presented for five types of samples ranging in porosity from 8 to 17 vol.%, taken from various positions above the baseline. The thermal conductivity and constituents of the minerals vary with porosity as well as with the position of the sample from the baseline. The thermal conductivity data are discussed in the framework of simple mixing laws and empirical models. Simple correlations between the effective density and porosity, and between the effective thermal conductivity and porosity, are also established.

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Thermal conduction in a homogeneous two-phase system

Cited by 34 publications

References 14 publications

Predictions of Effective Thermal Conductivity of Complex Materials

Predictions of Effective Thermal Conductivity of Complex Materials

Thermophysical Properties of Diorites along with the Prediction of Thermal Conductivity from Porosity and Density Data

Thermophysical Properties of Porous Sandstones: Measurements and Comparative Study of Some Representative Thermal Conductivity Models

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