An Introduction to Magnetohydrodynamics

The solutions of Maxwell and Rayleigh were the first of many attempts to determine the eective thermal conductivity of heterogeneous material. Early models assumed that no thermal resistance exists between the phases in heterogeneous material. Later studies on solid-liquid and solid-solid boundaries revealed that a temperature drop occurs when heat flows through a boundary between two phases and, as a consequence, the interfacial thermal resistance should be included in the heat transfer model. This paper is a review of the most popular expressions for predicting the eective thermal conductivity of composite materials using the properties and volume fractions of constituent phases. Subject to review were empirical, analytical and numerical models, among others.

https://papers.itc.pw.edu.pl/index.php/JPT/article/download/463/637

A review of models for effective thermal conductivity of composite materials

Thermal conductivity of metal-graphene composites

Cable Modeling and Internal Damping Developments

A comprehensive survey of the literature in the area of numerical heat transfer (NHT) published between 2000 and 2009 has been conducted Due to the immenseness of the literature volume, the survey

Literature Survey of Numerical Heat Transfer (2000–2009): Part II

Thermal–electrical analogy for simulations of superconducting fault current limiters

This article presents a numerical scheme, based on an isoparametric second-order finite-element discretization of the unit cell heat conduction problem, to calculate the effective thermal conductivity of composite materials with general 3-D microstructures and interfacial thermal resistance. Representative numerical results for the effective conductivity of ordered arrays of spheres, prolate ellipsoids of revolution, and finite-length circular cylinders are presented and, when possible, validated against previous analytical predictions. Furthermore, the effective conductivity of a disordered multiparticle cell is calculated, showing that the present computational approach is a valuable tool for understanding the macroscopic thermal behavior of composite materials.

Effective Thermal Conductivity of Composite Materials with 3-D Microstructures and Interfacial Thermal Resistance

Simulation of the transverse vibrations of a cantilever beam with an eccentric tip mass in the axial direction using integral transforms

Analysis of magnetohydrodynamic natural convection in closed cavities through integral transforms

The aim of the present paper is to describe the application of the generalized integral transform technique (GITT) for the theoretical analysis of wind-induced vibrations on overhead conductors. In the mathematical model adopted, the complicated helicoidal geometry of the conductor is simplified by treating it as a homogeneous taut string simple supported at both ends. Solving the governing partial differential equation through the GITT approach, one derives purely analytical or analytical–numerical solutions for the conductor transverse displacement as a function of both position and time. In order to highlight the potential and flexibility of the GITT approach to account for realistic features of the phenomenon, three particular cases of practical interest are analyzed in detail, for which benchmark results are provided: (i) the damped-free vibrations of the conductor; (ii) the harmonic-forced vibrations of the conductor without and with Stockbridge dampers; and (iii) the forced vibrations of the conductor under a non-linear wind excitation. The current results may be combined with previous analytical predictions to compute the conductor amplitudes and bending strains at critical locations. Although this work is focused on a taut string model for the conductor, the approach described herein may be easily extendable to the beam model. Copyright © 2008 John Wiley & Sons, Ltd.

C. F. T. Matt

Papers

Thermal–electrical analogy for simulations of superconducting fault current limiters

Effective Thermal Conductivity of Composite Materials with 3-D Microstructures and Interfacial Thermal Resistance

Simulation of the transverse vibrations of a cantilever beam with an eccentric tip mass in the axial direction using integral transforms

Analysis of magnetohydrodynamic natural convection in closed cavities through integral transforms

On the application of generalized integral transform technique to wind‐induced vibrations on overhead conductors