Electromagnetohydrodynamic two-phase flow-induced vibrations in vertical heated upward flow

In this paper, a mathematical model is presented to determine the effect of electro-magneto-hydro-dynamic forces on steady-state fluid-induced vibrations of vapor and liquid water flow in a heated vertical channel. The two-phase flow model used in this study includes continuity, non-homogeneous Navier-Stokes, non-equilibrium temperature balance with an approximation of spherical harmonics method (P-1 model) for thermal radiation at low-pressure condition close to saturation (1–2 bars). Governing equations are solved by finite volume method. The result of the code is validated with the various experimental data’s accessible in previous works. Then the code is used to estimate the effects of Lorentz forces on two-phase flow-induced vibrations. As shown, the fluid-induced vibrations increase with the increase of electro-magneto-hydrodynamic forces. As shown by the increase of Lorentz force, the fluid impact, cross-sectional, water-hammer forces, the frequency of two-phase fluctuations and peak velocities are controlled while the root-mean-square fluid force increased. Furthermore, the result has shown that the Lorentz force has not influenced the bubble departure frequency, surface tension force, and density of active nucleation site, bubble departure diameter, sound velocity, and the liquid superficial velocity.