P. Satyamurthy et al., 2-FLUID MODEL STUDIES FOR HIGH-DENSITY 2-PHASE LIQUID-METAL VERTICAL FLOWS, International journal of multiphase flow, 24(5), 1998, pp. 721-737
Liquid metal magnetohydrodynamic power converters (LMMHD PC) have been
recently proposed for electrical power generation. These systems cont
ain two-phase vertical flows consisting of high density liquid metals
and suitable gas-vapor. Optimum design of LMMHD power plants require a
ccurate modeling of two-phase flows in the riser. A two-fluid model ha
s been developed for this purpose. One-dimensional, steady state two-f
luid flow equations consisting of conservation of mass, momentum of ea
ch phase along with auxiliary relations have been solved numerically b
y the Runge-Kutta method. Interfacial drag force corresponding to mult
i-bubble, churn turbulent and slug flow based on Ishii et al. and Tait
el classification has been used. Effect of variation of void fraction
and phase velocities of the fluids across the cross section of the pip
e has been studied based on Ishii et al. model by modifying relative v
elocity and incorporating appropriate coefficients in the conservation
equations. Bubble size at the mixer orifice exit has been calculated
using the equations of Kumar et al. In order to verify the accuracy of
the model, a nitrogen-mercury experimental system has been set up. Vo
id profiles have been measured using gamma-ray attenuation method. Voi
d fraction, slip and pressure at different locations were determined f
or the mass fluxes varying from 0.125 to 2.302 kg/sm(2) for nitrogen a
nd 5.52 x 10(3) to 12.26 x 10(3) kg/sm(2) for mercury. The predicted v
alues have been compared with the experimental data. The void fraction
values matched well with the experimental data within 10% and within
20% when cross-sectional effects were included. The over all pressure
values were within 13% and 8%, respectively, while the slip values dev
iated within 25% and 27%, respectively. In general, the model matched
better with experimental data when the cross-sectional effects were no
t included. This is due to the high density of the liquid metal and re
latively larger pipe diameter. (C) 1998 Elsevier Science Ltd. All righ
ts reserved.