Conductivity of nonuniform systems

Dul'nev, G. N.; Novikov, V. V.

doi:10.1007/bf00864139

Cited by 14 publications

(5 citation statements)

References 7 publications

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“…(56)- (58) and therefore provides better agreement with the experimental data available for certain systems (Fig. 1).…”

Section: Methods Of Functional Inequalitiessupporting

confidence: 68%

“…Apparently the same conclusion applies to the alternative approach which is conceptually similar to the RSRG method but is based on a slightly different tesselation technique [58,59]. At small concentrations (0 < tp _< q0~), each IsC represented by a cubical inclusion with linear dimension 12 = qo I/3 is separated by distance 2(1 -12) from its neighbors (Fig.…”

Section: The Percolation Modelmentioning

confidence: 78%

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Model treatments of the heat conductivity of heterogeneous polymers

Privalko

Novikov

Advances in Polymer Science

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Basic physical concepts and limitations of current approaches to the theoretical description of the composition dependence of heat conductivity of microheterogeneous polymer materials (MHM) are reviewed. All "pragmatic" approaches (i.e., those assuming the existence of a infinitely thin, "mathematieal" interface between the components) fail to account explicitly for salient structural features of MHM such as the onset of an "infinite" duster of a disperse component at the percolation threshold, and the transition of a portion of a continuous component into a structurally different "boundary interphase" (BI). Among the "physical" approaches, it is apparently the Step-by-Step-Averaging (SSA) model which accounts simultaneously for both cited structural features of MHM. The SSA model was shown to provide a quantitative description of the experimental data available by an appropriate choice of relevant BI parameters (i.e., thickness and "partial" heat conductivity): at the present stage, however, the numerical values of the latter should be considered as fitting variables, rather than true material properties of BI.

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“…(56)- (58) and therefore provides better agreement with the experimental data available for certain systems (Fig. 1).…”

Section: Methods Of Functional Inequalitiessupporting

confidence: 68%

Section: The Percolation Modelmentioning

confidence: 78%

Model treatments of the heat conductivity of heterogeneous polymers

Privalko

Novikov

Advances in Polymer Science

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“…The entire cell was used by Yu et al [79], one fourth was modeled by Dul'nev [80], one eighth by Dul'nev and Muratova [81], Paek et al [53] and Fiedler et al [26], Eq. (64), one eighth with cubic lump of metal by Dul'nev and Novikov [82], Eq. (65).…”

Section: 3mentioning

confidence: 99%

“…(64), conceived for metal foams gives MSEs of 0.795 and 0.280 for air and water, respectively. With the model of Dul'nev and Novikov[82], the best solution for air is obtained for y/x et al[83], Eq. (66), gives the best performance for air with γ c c = 0.55).…”

mentioning

confidence: 99%

On the effective thermal conductivity of aluminum metal foams: Review and improvement of the available empirical and analytical models

Ranut

2016

Applied Thermal Engineering

139

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“…For another class of correlations, the unit cell of the foam is approximated with a defined unit-cell geometry such as hexagonal, , cubic, − or tetradecahedron − unit cells. Recently, Bracconi et al also numerically investigated anisotropic unit-cell geometries for cubic unit cells. …”

Section: Theoretical Backgroundmentioning

confidence: 99%

Systematic Experimental Investigations and Modeling of the Heat Transfer in Additively Manufactured Periodic Open Cellular Structures with Diamond Unit Cell

Littwin

Röder

Freund

2021

Ind. Eng. Chem. Res.

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Additively manufactured periodic open cellular structures (POCS) represent a new class of structured catalyst carriers due to their favorable characteristics such as high specific surface area, low pressure drop, and remarkable heat transport properties. The periodic, well-defined, and reproducible geometry makes systematic investigations and geometric optimization possible. For a detailed optimization, models for the description of the transport characteristics of POCS are necessary. Besides the geometric parameters of the unit cell, the unit-cell geometry itself has a major effect on the dispersive thermal conductivity. POCS based on the diamond unit cell show a superior dynamic thermal conductivity in comparison to cubic structures and are therefore examined in detail. From the measurement results and the corresponding model parameters, influences of the geometric parameters of the structures are found. This leads to new design correlations for the heat transport in POCS. With this, a model-based optimization of POCS for a specific application, such as strongly exothermic reactions, is possible.

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Conductivity of nonuniform systems

Cited by 14 publications

References 7 publications

Model treatments of the heat conductivity of heterogeneous polymers

Model treatments of the heat conductivity of heterogeneous polymers

On the effective thermal conductivity of aluminum metal foams: Review and improvement of the available empirical and analytical models

Systematic Experimental Investigations and Modeling of the Heat Transfer in Additively Manufactured Periodic Open Cellular Structures with Diamond Unit Cell

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