David Andrs

The Multiphysics Object-Oriented Simulation Environment (MOOSE) is an open-source objectoriented finite element framework written in C++ (Lindsay et al., 2022). The Thermal Hydraulics Module (THM) is an optional MOOSE physics module that provides capabilities for studying thermal hydraulic systems. Its core capability lies in assembling a network of coupled components, for instance, pipes, junctions, and valves. THM provides several new systems to MOOSE to enable and facilitate thermal hydraulic simulations, most notably the Components system, which provides a higher-level syntax to MOOSE's lower-level objects. This system is extensible by the user, but the current library primarily includes components based on a one-dimensional, single-phase, variable-area, compressible flow model, as well as heat conduction.

This report presents improvements made to RELAP-7 for modeling Rankine power cycles, which are used on the secondary side of some advanced reactor concepts. For example, for a High-Temperature gas-cooled Reactor Pebble bed Module (HTR-PM), in the primary loop, helium transfers heat from the fuel to a steam generator, and on the secondary side, dry steam from the steam generator applies work to a turbine, which is converted into electrical power by a generator. After passing through the turbine, the steam passes through a condenser and pumped to the steam generator inlet, completing a Rankine cycle on the secondary side. This HTR-PM concept is used as an example to demonstrate a steam-electric power cycle capability in RELAP-7. This power cycle requires a number of different physical components, including a pump, compressor, turbine, steam generator, and condenser. The steam generator is modeled using a heat exchange between primary and secondary loops, and the condenser is modeled using a cooling source term. Recent efforts demonstrated preliminary models for the turbomachinery components (pump/compressor and turbine), but more physical models were required. Furthermore, several improvements were made for the robustness of mixed single-phase/two-phase flow present in a Rankine cycle.

The U.S. Department of Energy's Office of Scientific and Technical Information

Balance of plant of a High-Temperature gas-cooled Reactor – Pebble bed Module (HTR-PM) is modeled using RELAP-7. The model includes the primary helium loop where the heat produced by the core is transferred to a helical-coil steam generator and the secondary loop where super- heated steam is fed to a turbine to extract power. The steam is then condensed to subcooled water and pumped back into the steam generator. Results demonstrate that RELAP-7 has the capability to model different regimes encountered in two-phase flow with wall boiling, superheated steam, subcooled liquid and condensation. RELAP-7 also has the capability of modeling different fluids with their own specific models in a very flexible way, without any code change. This also demonstrates the capability of modeling the transfer of fission power into electrical power.

Theory is presented for Sockeye, a MOOSE-based heat pipe application. Sockeye adapts the 1-D, 2-phase, compressible flow equations from RELAP-7 to the simulation of the working fluid in a heat pipe. Additionally to 1-D flow, Sockeye also provides the ability to perform 2-D heat conduction in heat pipe cladding. Sockeye also provides utilities for analyzing heat pipe operational limits using analytic relations. This manual presents the governing equations of flow and heat conduction, constitutive relations such as capillary pressure and interfacial are density, and spatial and temporal discretization.

Sockeye is a MOOSE-based computer code designed to simulate the thermal-hydraulic two-phase flows of heat pipes in a nuclear micro-reactor. For this application, a significantly modified version of the fully non-equilibrium, compressible, 7-equation, two-phase flow model of RELAP-7 was developed. This summary report documents the significant points of this model development.

Sockeye is a 1-D MOOSE-based application for modeling heat pipes. Sockeye is aimed at modeling heat pipes with annular wick and contains two-phase fluid property packages for sodium and potassium working fluids. Sockeye adapts the two-phase flow model from RELAP-7 to the simulation of heat pipes, by accounting for the capillary pressure in pressure relax- ation terms. Additionally, a simple, aggregate heat transfer model exists for transitioning from temperatures below the melting temperature of the working fluid. Results are presented for an example test problem, and some future work is discussed.

Microreactors are small mobile transportable nuclear reactors with thermal power less than 20 MWt that are designed to meet the needs of remote areas, military installations, emergency operations, and disaster relief zones. These reactor are concepts that are intended to be factory-manufacturable, easily transportable, and will allow for semi- or full-autonomous operation. To assist with development of microreactors, modeling and experimentation need to be performed with verification and validation to gain confidence in the models and tools. The objective of this study is apply advanced modeling and simulation capabilities being developed by the DOE Office of Nuclear Energy Nuclear Energy Advanced Modeling and Simulation (NEAMS) program to perform integrated modeling and simulation capability for multiphysics simulation of the microreactor concepts. This activity will provide an opportunity to exercise the codes to provide both gain experience and to provide feedback to the developers.

A transient in a SERTTA vessel geometry was modeled using RELAP-7. This transient included a significant amount of boiling in the fuel region, and a resulting transport of vapor into a large expansion tank. A preliminary gas mixture model and transport PDE was used for the presence of non-condensable gases. Results demonstrated that the solution algorithm and/or mixture model needs modification to avoid evaluation of unphysical mixture fluid properties.