Journal ArticleDOI
A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
Z. Hashin,S. Shtrikman +1 more
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In this article, the authors established and applied variational theorems for the derivation of bounds for the effective magnetic permeability of macroscopically homogeneous and isotropic multiphase materials.Abstract:
Variational theorems are established and applied to the derivation of bounds for the effective magnetic permeability of macroscopically homogeneous and isotropic multiphase materials. For reasons of mathematical analogy the results are also valid for the dielectric constant, electric conductivity, heat conductivity, and diffusivity of such materials. For the case of two‐phase materials, the bounds derived are the most restrictive ones that can be given in terms of the phase permeabilities and volume fractions. Comparison of present theoretical results with existing experimental data shows good agreement.read more
Citations
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Anomalously increased effective thermal conductivities of ethylene glycol-based nanofluids containing copper nanoparticles
TL;DR: In this paper, it was shown that a "nanofluid" consisting of copper nanometer-sized particles dispersed in ethylene glycol has a much higher effective thermal conductivity than either pure or pure glycol or even polyethylene glycol containing the same volume fraction of dispersed oxide nanoparticles.
Journal ArticleDOI
Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications
TL;DR: In this article, the authors consider the specific effects of a bias on anomalous diffusion, and discuss the generalizations of Einstein's relation in the presence of disorder, and illustrate the theoretical models by describing many physical situations where anomalous (non-Brownian) diffusion laws have been observed or could be observed.
Journal ArticleDOI
Measuring Thermal Conductivity of Fluids Containing Oxide Nanoparticles
TL;DR: In this paper, a transient hot-wire method was used to measure the thermal conductivity of a small amount of nanoparticles and the experimental results showed that these nanoparticles have substantially higher thermal conductivities than the same liquids without nanoparticles.
Journal ArticleDOI
Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids
TL;DR: In this article, a model is developed to analyze heat transfer performance of nanofluids inside an enclosure taking into account the solid particle dispersion, where the transport equations are solved numerically using the finite-volume approach along with the alternating direct implicit procedure.
Journal ArticleDOI
Analysis of Composite Materials—A Survey
TL;DR: In this paper, the authors review the analysis of composite materials from the applied mechanics and engineering science point of view, including elasticity, thermal expansion, moisture swelling, viscoelasticity, conductivity, static strength, and fatigue failure.
References
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Journal ArticleDOI
The Electrical Resistance of Binary Metallic Mixtures
TL;DR: In this paper, a theory for a random mixture is given, based on the assumption that each crystal acts as if surrounded by a homogeneous medium whose properties are those of the mixture.
Journal ArticleDOI
Thermal Conductivity of Porous Media. I. Unconsolidated Sands
W. Woodside,J. H. Messmer +1 more
TL;DR: In this paper, the problem of determining the effective thermal conductivity of a two-phase system, given the conductivities and volume fractions of the components, is examined, and an equation based on a three-element resistor model is proposed.
Journal ArticleDOI
Solid Mixture Permittivities
TL;DR: In this paper, a macroscopically homogeneous aggregate contains two materials A, B, with dielectric constants eA, eB, in volume ratio p: (1-p) where p is the volume ratio of the aggregate.
Journal ArticleDOI
Effect of Random Inhomogeneities on Electrical and Galvanomagnetic Measurements
TL;DR: In this article, the effects of inhomogeneities on piezoelectric, galvanomagnetic, and thermocyclic measurements have been investigated and formulas for all the effects are derived which are asymptotically exact in the limit of small fractional fluctuations in the local conductivity.
Journal ArticleDOI
Formulae for Dielectric Constant of Mixtures
J A Reynolds,J M Hough +1 more
TL;DR: In this paper, the major formulae suggested for the dielectric constant of a mixture of two components (at least one of which has the form of particles containing many molecules) are shown to be all related to another.