Abstract

In present paper, a mathematical model based on the one dimensional nonlinear mass, momentum and energy conservation equations has been developed to study the density wave instability (DWI) in horizontal heater and horizontal cooler supercritical water natural circulation loop (HHHC-SCWNCL). The one dimensional nonlinear mass, momentum and energy conservation equations are discretized by using finite difference method (FDM). The numerical model is validated with the benchmark results (NOLSTA model). Numerical simulations are performed to find the threshold stability zone (TSZ) and draw the stability map for natural circulation loop. Further, effect of change in diameter and riser height on the density wave instability of SCWNCL has been investigated.

Highlights

  • Supercritical water reactor (SCWR) is one of the most important technologies among the Generation-IV forum in the nuclear reactor

  • When providing the perturbation in the mass flow rate in the SCWNCL, if the mass flow rate come back to the first state or stable point, where the oscillation of mass flow rate is not growing with respect to time, they system is known as stable. if the oscillation of mass flow rate is continuous growing with respect to time, such system is known as unstable, whereas the oscillation of mass flow rate neither growing nor shrinking, but it oscillate with constant amplitude with respect to time, such system is known as neutral stable[13-22]

  • The amplitude of mass flow rate has been calculated for a particular input such as applied heater power, inlet pressure and inlet specific enthalpy with respect to time

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Summary

Introduction

Supercritical water reactor (SCWR) is one of the most important technologies among the Generation-IV forum in the nuclear reactor. In the SCWRs, the size of the turbine is compact due to high steam enthalpy which reduced the capital cost of the load Due to their exceptional properties such as heat removing capacity, better fuel utilization, and minimum capital cost to generate electricity [5]. SCWRs will experience drastic change in the density along the core, there is lot of chances to occur instability in the SCWRs, which is similar to the BWRs insatiability namely static, Ledinegg, dynamic, density wave oscillation and pressure wave oscillation instability etc [6-12]. These instabilities are not desirable in the reactor because failure of control and damage to the wall of the reactor. The density wave instability (DWI) can be affected by the various parameters of the loop such as diameter and riser heights, the main works are draw the threshold stability zone (TSZ) of the loop for DWI and incorporate the effect of them

Initial and boundary conditions
Equation of state
Steady state methodology numerical solution
Comparison of present model against literature result
Transient numerical solution approach
Density wave instability
Neutral Stable
Conculsions

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