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Proceedings of the 24th National and 2nd International ISHMT-ASTFE Heat and Mass Transfer Conference (IHMTC-2017)

ISSN: 2688-7231 (Online)

THREE REGION REDUCE ORDER MODEL FOR STABILITY ANALYSIS OF THE SUPERCRITICAL FLUID IN HEATED CHANNEL

Munendra Pal Singh
Dept. of Energy Science and Engineering, Indian Institute of Technology Bombay, Mumbai-400076, Maharashtra, India

Md Emadur Rahman
Dept. of Energy Science and Engineering, Indian Institute of Technology Bombay, Mumbai-400076, Maharashtra, India

Suneet Singh
Dept. of Energy Science and Engineering, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India

DOI: 10.1615/IHMTC-2017.2690
pages 1923-1927

要約

This paper captures the phenomena of density wave oscillation instability of supercritical water (SCW) flowing as a working fluid in a single heated channel. In the heated channel, the SC fluid density shows dramatic downfall near the pseudo-critical temperature based on which it has been divided into three zones viz. heavy fluid phase, mixture fluid phase and supercritical fluid phase. These zones are mathematically presented by the conservation equations which are in the form of partial differential equations (PDEs). The reduced order model (ROM) is developed by using weighted residual method on these PDEs. The corresponding time dependent non-linear ordinary differential equations (ODEs) are obtained under appropriate assumptions and approximations for each zone. These ODEs are used to capture the stability boundary (SB) in terms of trans-pseudo-critical phase change number (Ntpc), pseudo-subcooling number (Nspc) by applying constant external pressure drop (ΔPext) condition across the channel. The results have been verified by numerical simulation and the dependence of the parametric values on the system is also presented.

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