Mathematical models of single-phase long lines

Investigation of nanoparticles diameter on free convection of Aluminum Oxide-Water nanofluid by single phase and two phase models

In this research, effect of nanoparticles dimeter on free convection of aluminum oxide-water was investigated in a cavity by single phase and two phase models. The range of Rayleigh number is considered 105-107 in volume fractions of 0.01 to 0.03 for nanoparticles with various diameters (25, 33, 50 and 100 nm). Given that the two phase nature of nanofluids, necessity of modeling by this method ...

Numerical Study of Single Phase/Two-Phase Models for Nanofluid Forced Convection and Pressure Drop in a Turbulence Pipe Flow

In this paper, the problem of turbulent forced convection flow of water- alumina nanofluid in a uniformly heated pipe has been thoroughly investigated. In numerical study, single and two-phase models have been used. In single-phase modeling of nanofluid, thermal and flow properties of nanofluid have been considered to be dependent on temperature and volume fraction. Effects of volume fraction a...

Time domain single-phase reclosure scheme for transmission lines based on dual-Gaussian mixture models

The basic principle of new adaptive reclosures are to first identify whether a fault is transient or permanent and consequently to determine the reclosing moment. In this paper a novel method to enhance self-adaptive single phase autoreclosure of transmission lines is presented. Using Gaussian Mixture Models (GMM) the redundancy of setting the threshold is omitted. The proposed algorithm could ...

Mathematical Properties of Nonhyperbolic Models for Incompressible Two-Phase Flow

Many models for multi-fluid flow result in equations which fail to be hyperbolic. One example is one-dimensional flow of an incompressible two-phase fluid. In the simplest model, the principal part of the differential operator has characteristics with nonzero imaginary part for any state of the fluid which contains both phases. Thus, the linearized equations are catastrophically unstable. This ...

On Mathematical Models for Phase Separation in Elastically Stressed Solids