Modeling of flashing-induced flow instabilities for a natural circulation driven novel modular reactor

Shi, Shanbin; Ishii, Mamoru

doi:10.1016/j.anucene.2016.11.005

The NEUP funded project, NEUP-3496, aims to experimentally investigate two-phase natural circulation flow instability that could occur in Small Modular Reactors (SMRs), especially for natural circulation SMRs. The objective has been achieved by systematically performing tests to study the general natural circulation instability characteristics and the natural circulation behavior under start-up or design basis accident conditions. Experimental data sets highlighting the effect of void reactivity feedback as well as the effect of power ramp-up rate and system pressure have been used to develop a comprehensive stability map. The safety analysis code, RELAP5, has been used to evaluate experimental results andmore » models. Improvements to the constitutive relations for flashing have been made in order to develop a reliable analysis tool. This research has been focusing on two generic SMR designs, i.e. a small modular Simplified Boiling Water Reactor (SBWR) like design and a small integral Pressurized Water Reactor (PWR) like design. A BWR-type natural circulation test facility was firstly built based on the three-level scaling analysis of the Purdue Novel Modular Reactor (NMR) with an electric output of 50 MWe, namely NMR-50, which represents a BWR-type SMR with a significantly reduced reactor pressure vessel (RPV) height. The experimental facility was installed with various equipment to measure thermalhydraulic parameters such as pressure, temperature, mass flow rate and void fraction. Characterization tests were performed before the startup transient tests and quasi-steady tests to determine the loop flow resistance. The control system and data acquisition system were programmed with LabVIEW to realize the realtime control and data storage. The thermal-hydraulic and nuclear coupled startup transients were performed to investigate the flow instabilities at low pressure and low power conditions for NMR-50. Two different power ramps were chosen to study the effect of startup power density on the flow instability. The experimental startup transient results showed the existence of three different flow instability mechanisms, i.e., flashing instability, condensation induced flow instability, and density wave oscillations. In addition, the void-reactivity feedback did not have significant effects on the flow instability during the startup transients for NMR-50. ii Several initial startup procedures with different power ramp rates were experimentally investigated to eliminate the flow instabilities observed from the startup transients. Particularly, the very slow startup transient and pressurized startup transient tests were performed and compared. It was found that the very slow startup transients by applying very small power density can eliminate the flashing oscillations in the single-phase natural circulation and stabilize the flow oscillations in the phase of net vapor generation. The initially pressurized startup procedure was tested to eliminate the flashing instability during the startup transients as well. The pressurized startup procedure included the initial pressurization, heat-up, and venting process. The startup transient tests showed that the pressurized startup procedure could eliminate the flow instability during the transition from single-phase flow to two-phase flow at low pressure conditions. The experimental results indicated that both startup procedures were applicable to the initial startup of NMR. However, the pressurized startup procedures might be preferred due to short operating hours required. In order to have a deeper understanding of natural circulation flow instability, the quasi-steady tests were performed using the test facility installed with preheater and subcooler. The effect of system pressure, core inlet subcooling, core power density, inlet flow resistance coefficient, and void reactivity feedback were investigated in the quasi-steady state tests. The experimental stability boundaries were determined between unstable and stable flow conditions in the dimensionless stability plane of inlet subcooling number and Zuber number. To predict the stability boundary theoretically, linear stability analysis in the frequency domain was performed at four sections of the natural circulation test loop. The flashing phenomena in the chimney section was considered as an axially uniform heat source. And the dimensionless characteristic equation of the pressure drop perturbation was obtained by considering the void fraction effect and outlet flow resistance in the core section. The theoretical flashing boundary showed some discrepancies with previous experimental data from the quasi-steady state tests. In the future, thermal non-equilibrium was recommended to improve the accuracy of flashing instability boundary. As another part of the funded research, flow instabilities of a PWR-type SMR under low pressure and low power conditions were investigated experimentally as well. The NuScale reactor design was selected as the prototype for the PWR-type SMR. In order to experimentally study the natural circulation behavior of NuScale iii reactor during accidental scenarios, detailed scaling analyses are necessary to ensure that the scaled phenomena could be obtained in a laboratory test facility. The three-level scaling method is used as well to obtain the scaling ratios derived from various non-dimensional numbers. The design of the ideally scaled facility (ISF) was initially accomplished based on these scaling ratios. Then the engineering scaled facility (ESF) was designed and constructed based on the ISF by considering engineering limitations including laboratory space, pipe size, and pipe connections etc. PWR-type SMR experiments were performed in this well-scaled test facility to investigate the potential thermal hydraulic flow instability during the blowdown events, which might occur during the loss of coolant accident (LOCA) and loss of heat sink accident (LOHS) of the prototype PWR-type SMR. Two kinds of experiments, normal blowdown event and cold blowdown event, were experimentally investigated and compared with code predictions. The normal blowdown event was experimentally simulated since an initial condition where the pressure was lower than the designed pressure of the experiment facility, while the code prediction of blowdown started from the normal operation condition. Important thermal hydraulic parameters including reactor pressure vessel (RPV) pressure, containment pressure, local void fraction and temperature, pressure drop and natural circulation flow rate were measured and analyzed during the blowdown event. The pressure and water level transients are similar to the experimental results published by NuScale [51], which proves the capability of current loop in simulating the thermal hydraulic transient of real PWR-type SMR. During the 20000s blowdown experiment, water level in the core was always above the active fuel assemble during the experiment and proved the safety of natural circulation cooling and water recycling design of PWR-type SMR. Besides, pressure, temperature, and water level transient can be accurately predicted by RELAP5 code. However, the oscillations of natural circulation flow rate, water level and pressure drops were observed during the blowdown transients. This kind of flow oscillations are related to the water level and the location upper plenum, which is a path for coolant flow from chimney to steam generator and down comer. In order to investigate the transients start from the opening of ADS valve in both experimental and numerical way, the cold blow-down experiment is conducted. For the cold blowdown event, different from setting both reactor iv pressure vessel (RPV) and containment at high temperature and pressure, only RPV was heated close to the highest designed pressure and then open the ADS valve, same process was predicted using RELAP5 code. By doing cold blowdown experiment, the entire transients from the opening of ADS can be investigated by code and benchmarked with experimental data. Similar flow instability observed in the cold blowdown experiment. The comparison between code prediction and experiment data showed that the RELAP5 code can successfully predict the pressure void fraction and temperature transient during the cold blowdown event with limited error, but numerical instability exists in predicting natural circulation flow rate. Besides, the code is lack of capability in predicting the water level related flow instability observed in experiments.

Title: Modeling of flashing-induced flow instabilities for a natural circulation driven novel modular reactor

Citation Formats

Novel modular natural circulation BWR design and safety evaluation
journal, November 2015

Flashing-Induced Instability Analysis and the Start-Up of Natural Circulation Boiling Water Reactors
journal, October 2011

Experimental investigation of natural circulation instability in a BWR-type small modular reactor
journal, November 2015

The Effect of Gravity and Friction on the Stability of Boiling flow in a Channel
journal, July 1981

Flashing-induced density wave oscillations in a natural circulation BWR—mechanism of instability and stability map
journal, July 2005

Thermo-hydraulic instability of boiling natural circulation loop induced by flashing (analytical consideration)
journal, August 2000

Startup instability in natural circulation driven nuclear reactors
journal, July 2016

Modeling of flashing-induced instabilities in the start-up phase of natural-circulation BWRs using the two-phase flow code FLOCAL
journal, June 2005

Exploring the dodewaard type-I and type-II stability; from start-up to shut-down, from stable to unstable
journal, May 1997

Thermal and Stability Analysis of a Two-Phase Natural Circulation Loop
journal, May 1994

Theoretical and experimental study on density wave oscillation of two-phase natural circulation of low equilibrium quality
journal, June 2002

Steady-state performances and scaling analyses for an open flashing-driven natural circulation system
journal, March 2016

Nonlinear dynamic analysis of a two-phase natural circulation loop with multiple nuclear-coupled boiling channels
journal, June 2015

Core design optimization and analysis of the Purdue Novel Modular Reactor (NMR-50)
journal, August 2016

Experimental study of natural circulation instability with void reactivity feedback during startup transients for a BWR-type SMR
journal, August 2015

A Core Design Study for a Small Modular Boiling Water Reactor with Long-Life Core
journal, March 2016

Stability of Natural Circulation Boiling Water Reactors: Part I—Description Stability Model and Theoretical Analysis in Terms of Dimensionless Groups
journal, January 1998

Title: Modeling of flashing-induced flow instabilities for a natural circulation driven novel modular reactor

Citation Formats

Novel modular natural circulation BWR design and safety evaluation journal, November 2015

Flashing-Induced Instability Analysis and the Start-Up of Natural Circulation Boiling Water Reactors journal, October 2011

Experimental investigation of natural circulation instability in a BWR-type small modular reactor journal, November 2015

The Effect of Gravity and Friction on the Stability of Boiling flow in a Channel journal, July 1981

Flashing-induced density wave oscillations in a natural circulation BWR—mechanism of instability and stability map journal, July 2005

Thermo-hydraulic instability of boiling natural circulation loop induced by flashing (analytical consideration) journal, August 2000

Startup instability in natural circulation driven nuclear reactors journal, July 2016

Modeling of flashing-induced instabilities in the start-up phase of natural-circulation BWRs using the two-phase flow code FLOCAL journal, June 2005

Exploring the dodewaard type-I and type-II stability; from start-up to shut-down, from stable to unstable journal, May 1997

Thermal and Stability Analysis of a Two-Phase Natural Circulation Loop journal, May 1994

Theoretical and experimental study on density wave oscillation of two-phase natural circulation of low equilibrium quality journal, June 2002

Steady-state performances and scaling analyses for an open flashing-driven natural circulation system journal, March 2016

Nonlinear dynamic analysis of a two-phase natural circulation loop with multiple nuclear-coupled boiling channels journal, June 2015

Core design optimization and analysis of the Purdue Novel Modular Reactor (NMR-50) journal, August 2016

Experimental study of natural circulation instability with void reactivity feedback during startup transients for a BWR-type SMR journal, August 2015

A Core Design Study for a Small Modular Boiling Water Reactor with Long-Life Core journal, March 2016

Stability of Natural Circulation Boiling Water Reactors: Part I—Description Stability Model and Theoretical Analysis in Terms of Dimensionless Groups journal, January 1998