Abstract
In this paper, the modeling of a steady state two phase flow heated through a vertical upward flow under electro-magneto-hydro-dynamic forces is presented. The thermal non-equilibrium, non-homogeneous, two-phase flow model consisting of mass, momentum and energy conservation in each phase has been adjusted for subcooled inlet conditions close to saturation. The P-1 approximation, viscous dissipation and Joule heating are included in the energy equations. It was seen that the Lorentz force can decrease and postpone the bubble generation, as well as affect the slip velocity, flow forces, viscous dissipation and Joule heating. Furthermore, two correlations for the slip velocity under magnetohydrodynamic (MHD) forces are presented. As shown, skin friction and Joule heating increase with the magnetic field strength.
Highlights
Motivated by the above-mentioned literature, the purpose of the present study was to develop a numerical tool with a non-equilibrium model to analyze and predict the steady-state two-phase flow boiling, which will remain accurate for a large range of sub-cooling inlet conditions
As stated in the problem definition, steady state one-dimensional case experiment results performed on the geometry of the vertical concentric annular tube (Figure 1) by Shoukri [29] where sub-cooled water is entering upward were compared to the results of the numerical calculations of the model presented here
A numerical model of a steady state two-phase flow heated through a vertical upward flow under electromagnetohydrodynamic forces was performed to predict the effect of MHD on the onset of nucleate boiling; in addition, bubble generation and heat and the momentum characteristics of the sub-cooled boiling were developed
Summary
The two-phase flow of liquid water and vapor liquid occurring in a pipe is important in many applications, such as fluid engineering mechanics, multiphase heat exchanger design [5], solar heating systems [7], special heat exchangers [8], flow separation devices in central heating systems [9], the MHD generator [10], the MHD propulsor [11], etc. Based on the electrical conductivity of the water and vapor, they can be controlled and measured by electric and magnetic fields. An electromagnetic flow meter can measure air-water accurately at low void fractions (
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