Two Phase Flow Stability Analysis of Multiple Horizontal Uniformaly Heated Channel (original) (raw)

Lecture Notes in Mechanical Engineering, 2016

Abstract

ABSTRACT Two-phase flow in multiple horizontal heated channels has wide applications in heat exchangers, solar heating systems, nuclear systems etc. The theoretical study of two-phase flow instability analysis for parallel multiple channels are carried out by Zhang et al., 2009. This was done for vertical channels and they used nodal methods to carry out stability analysis. Similar analysis was done by Lee et al. 1999 & 2005, for multiple vertical, parallel boiling channels with forced flows. Following the Zhang et al. 2009 and Lee et al. 1999 & 2005, the stability analysis of multiple horizontal channels with uniform heat flux has been carried out. The system is mathematically represented by non-linear PDEs for mass, momentum and energy in single as well as two-phase region. Coupling equation is being used under the assumption that pressure drop in each channel is same and total mass flow rate is equal to sum of individual mass flow rate. The homogeneous equilibrium model is assumed to be valid in the two phase region. Stability boundary is obtained in terms of phase change number (Npch) and Sub-cooling Number (Nsb) and can be validated by comparing it with result obtained by Matcont under same parametric values. Numerical simulations of the time-dependent, nonlinear ODEs are carried out for selected points in the operating parameter space to obtain the actual damped and growing oscillations in the channel inlet flow velocity which confirms the stability region across the stability map.

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