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DOE OSTI2023

A First Principles Approach to Spectral Phonon Transport in Heterostructures

Understanding thermal transport across interfaces which give rise to a thermal resistance (also known as Kapitza resistance) is a critical issue affecting the development of nanotechnologies. Much modern and emergent nanotechnology consist of adjacent materials, and phonon mediated heat transfer governs thermal behavior across internal interfaces in these devices. The physics of thermal transport in solids are governed both by phenomena occurring at the atomic scale and interactions with the material's microstructure. The forecasting of fundamental quantities such as temperature, heat flux and thermal conductivity typically employs the semi-classical Boltzmann transport equation to predict the macroscopic behavior of materials in terms of the microscopic dynamics of its heat carriers. Kapitza resistance was first discovered in liquid helium experiments and has led to a fundamental research thrust in micro and nano-scale heat transport, the behavior of thermal carriers across internal interfaces. Thermal interfacial resistance (TIR) is a widely studied phenomenon, first engaged by Swartz and Pohl through their development of the acoustic and diffuse mismatch methods, then continued through myriad efforts with varying methods and approaches in an attempt to resolve carrier behavior at thermal interfaces. Many of the fundamental approaches to TIR have been at the nanoscale, and research is conducted with molecular dynamics (MD) and density functional theory (DFT) methods. The limitations of these methods is system size; atomistic methods tend to be limited to system sizes of 100,000 atoms or less. Larger length-scale methods have also been pursued, based on the principles of acoustic or diffuse mismatch, but not all include simulation of TIR using a full phonon band spectrum, or temperature dependent methods. Our approach to enabling phonon transport in layered materials draws upon our previous work of demonstrating spectrally coupled phonon transport in homogeneous and heterogeneous materials. We use a semi-analytical approach in which the Bose-Einstein (B-E) statistics set the strength of the phonon radiance in a frequency group, but the B-E statistics are informed with information from the transport system. The B-E statistics in a single frequency group feels the influence of all the groups through the spatial temperature. We also include a new field term which is an indicator of the amount of non-equilibrium behavior of the phonon spectrum---this is added to the phonon source term in all groups to ensure closure and conservation of energy, as the phonon groups in the transport system and the analytical systems are coupled. This work builds upon our previous approach by adding a phonon coupling term at an internal interface, using the principles of the DMM through transmission and reflection coefficients. In this work, the coefficients are determined through computing a common temperature at the interface, influenced by the phonon band structure of both materials, in effect, providing mixing between the two material systems and using the common temperature to set the strength of the phonon radiance at the boundaries on either side of the interface. Our approach uses material properties computed along various crystallographic orientations, and while some isotropy is built into the interface condition, the material properties weight the phonon distributions in the proper crystalline direction. Greater resolution of phonon behavior in proximity to an interface, and more accurate predictions of TIR are obtained. While it is true the assumption of diffuse mismatch can yield inconsistent results compared to experiment especially at low temperatures, this work focuses on room temperature and beyond effects, for future applications in nuclear fuel, or thermoelectric devices; a modified mismatch approach may be feasible if applied properly. Additionally, our methods focus on bridging mesoscale to engineering scale

36 MATERIALS SCIENCE↗

DOE OSTI2018

Optimization of Advanced Steels for Cyclic Operation through an Integration of Material Testing, Modeling and Novel Component Test Validation

The efforts in this project were focused in three primary objectives, provided below: • To develop the needed microstructural processing and performance relationships and associated material models for specific constituents in fabricated weldments (such as the parent material, heat affected zone regions and weld metal), • Apply these metallurgical relationships through modeling of a welded pressure bearing power plant component subjected to cyclic operational conditions under both mechanical and thermal loading, and • Validate the model through novel structural feature and component tests. An attempt was made to optimize the heat treatment schedule to reduce or eliminate the presence of boron nitride (BN) in the matrix of the Grade 92 material. BN has been shown to be a primary nucleation source for creep damage. Proper evaluation of material behavior, and as assessed in this research, included the influence of geometric notches (such as those from poor fabrication or design) and metallurgical notches (such as weldments or poorly processed parent material). Better practice methodologies were implemented in the theoretical design of a high-temperature, critical component for cyclic operation. It was demonstrated that vessel testing can be reliably performed and provides a critical link between standard testing, structural assessment and validation. While the goal of an improved Grade 92 steel was not achieved in this project, there is considerable value in applying the documented testing and assessment methodologies to assess material and/or component behavior. This is especially true for materials and/or designs which are expected to be subjected to flexible operating modes. Design of a cycling state of the art thick wall steam header for long term operation with a state of the art ferritic steel was a task in this project. Implementation of that task showed how many factors including plant operating mode, creep strength, creep ductility, fatigue strength, and resistance to crack growth should be considered and evaluated to properly design high temperature components for long term service (200,000 operating hours or more) in a modern Fossil energy power plant. The current ASME non-nuclear boiler design code does not mandate this level of complex analysis nor does it provide all the metallurgical and mechanical properties data needed to perform this kind of design analysis.

20 FOSSIL-FUELED POWER PLANTS↗

DOE OSTI2021

Developing Accelerated Test Protocols and Tuning Microstructures of the Common Materials to Improve Robustness, Reliability, and Endurance of SOFC Cells

This work is built on our prior work where we found that phase transformation in praseodymium nickelates, e.g. Pr 2 NiO 4 (PNO) and (Pr 1-x Nd x ) 2 NiO 4 (PNNO), can be electrochemically driven, and is substantially faster when compared to thermal annealing studies. The first task aims at an attempt to further accelerate the phase transformation in the oxygen electrode by alternating the current input in the cells, which lead to the development of accelerated test protocols (ATPs). ATPs showed up to 60x faster phase transformation and up to 10x faster performance degradation in (Pr 0.50 Nd 0.50 ) 2 NiO 4 electrodes, when compared to long-term operation under constant current density. Furthermore, the phase stable Nd 2 NiO 4 and (La 0.6 Sr 0.4 )(Co 0.8 Fe 0.2 )O 3 (LSCF6482) electrodes were tested in full cells under ATPs, and showed up to 10x faster performance degradation within 1,100 hours in a comparison with long-term thermal annealing studies and electrochemical operation under constant current density. The second task aims at the quantification of the contributions of cell components to the total impedance of a solid oxide fuel cell (SOFC) using electrochemical impedance spectroscopy (EIS) and distribution of relaxation times (DRT). Specifically, the role of gas composition at both anode and cathode was systematically studied, aiming at deconvoluting, identifying and quantifying the contributions of different electrode processes. This was achieved by first tuning the partial pressure of H 2 at the anode and subsequently varying the partial pressure of O 2 at the cathode. The results suggest that, while DRT offers a viable way of deconvoluting different times distributions, additional attention is needed before assigning a peak to a specific electrode process due to the significant overlap of the contributions from the cathode and the anode. Density function theory studies show that both Pr-vacancies and O-defects play a key role on the activity and stability for nickelates towards oxygen reduction reaction. The resident O-interstitials and oxygen ions in the PrO layer form peroxide (O 2 2- ) nearby Pr vacancies. The O 2 2- limits oxygen-ion transport due to the required additional energy to break its O-O bond. We further calculated the formation and segregation energies for different Ln ions (La, Pr, Nd, Pm, Sm, Gd, Tb, Dy, and Ho) in PNO and CeO 2 (111) surfaces. In addition to Nd, Pm and La are suggested as potential dopants in PNO to enhance it stability without decomposition due to their more negative formation energies, lower diffusion energies, and positive separation energies.

01 COAL, LIGNITE, AND PEAT↗

DOE OSTI2018

Experimentally Validated Numerical Models of Non-Isothermal Turbulent Mixing in High Temperature Reactors

In the Very High Temperature Reactor (VHTR), the non-uniform heat generation and flow maldistribution of coolant in the core generates conditions leading into the lower plenum with many jets at different temperatures and velocities. The hope is that the combined flow becomes fully mixed in a short distance so that the fluctuating temperatures in the mixing region do not cause unwanted thermal stresses in the supporting structures. These cyclic thermal stresses can cause degradation of the wall microstructure including crack initiation and growth, ultimately leading to the fatigue failure in the lower plenum, and can be accelerated by the high temperature environment in the VHTR. The focus of this project was to provide experimental data for future validation of computational efforts aimed at capturing the turbulent mixing in the lower plenum. Computational fluid dynamics (CFD) is also used as part of this effort to assess the requirements to model fundamental flows with application to the lower plenum as well at the applied flow conditions that mimic the experimental facilities. These efforts will lay the groundwork for future incorporation of stress analysis as well as fatigue and failure studies for multiple VHTR components. An additional emphasis is placed on reduced order models (ROM) using canonical flows, which will help to balance computational expense and accuracy and enable future work in uncertainty quantification. The flow in the lower plenum is extremely complex with hundreds of cooling jets entering and then being forced to change directions by 90° while navigating through an array of cylindrical support posts. Generating experimental data for such a complicated flow is difficult, not to mention that the computational requirements to generate an adequate temporal and spatial sampling is extremely expensive and time consuming. Therefore, the ultimate focus of this research is a “unit cell” which consists of six jets in the presence of a crossflow, and seven cylindrical support posts. It is scaled to achieve similar ranges of key dimensionless numbers. This serves to mimic flow conditions in different regions of the lower plenum by adjusting velocities, temperatures, and orientations, and represents a compromise between the complexity inside the full-scale application and the ideal conditions of a more fundamental study. In addition to the unit cell experiments and simulations, the complex flows in the VHTR lower plenum are broken down into a number of simplified (in some cases even fundamental) flows, two of which are turbulent jets and flow past cylinders. Each of these are studied, computationally and experimentally for isothermal and non-isothermal conditions. Flows where trusted experimental data is available in the literature (e.g., turbulent free jet), additional experiments are not needed. The result of these efforts is a database of experimental data and multiple computational studies, which provide an outlook to the requirements, needed to capture turbulent mixing flow physics The ROM results provide assessments for appropriate resource-light models that balance accuracy with reduced computational burdens.

21 SPECIFIC NUCLEAR REACTORS AND ASSOCIATED PLANTS↗

DOE OSTI2019

Advanced low-cost intermetallic coatings for molten salt pump impeller. Final report

1.0 INTRODUCTION The use of solar energy to produce steam for the generation of electricity is an established technology, with multiple designs for concentrating solar power (CSP) steam generators available commercially and a number of such units currently operating. As part of the effort to improve the overall efficiency of this technology, designers have developed thermal energy storage (TES) mechanisms that employ molten salt to capture a portion of the solar energy available during the day-time hours and make that energy available for steam generation during periods when the sun’s energy is not available. In current TES systems, nitrate salts are used extensively as the medium of energy exchange. However, due to the chemical instability of these salts at temperatures above 600ºC, they are not being considered for use in the next more efficient generation of CSP plants, in which the energy exchange fluids will be required to operate in the range 600ºC to 800ºC. At these higher temperatures, molten chloride salts, such as KCl-MgCl2, are viewed as promising alternatives to the nitrate salts, but, of course, these chloride-based salts are highly corrosive to the engineering alloys commonly used in the construction of pressure vessels, heat exchangers, pumps and piping at high temperatures. Hence, a solution to the problem of material degradation is essential if the next generation of CSP plants is to be commercially viable (Ref 1). In order to effectively address the problem of molten chloride salt corrosion at high temperatures (≥ 750ºC) and thereby to reduce the cost of molten salt tanks and related apparatus, various options have been considered, with one of the most promising being an innovative coatings system developed and applied onto low alloy ferritic or austenitic stainless material. Development of such a coating system would reduce the capital costs of thermal energy storage (TES) and increase the overall efficiency of the concentrating solar power (CSP) system. Although high strength nickel base alloys are well suited for many high temperature applications, they have significant limitations when exposed to molten chloride salt conditions and they are very expensive. Monolithic materials such as the austenitic stainless steels (e.g., SS310 and SS347) and the more common nickel base alloys (e.g., IN625 and IN800H) have exhibited high corrosion rates in molten chloride salt environments (Ref1). Molten salt corrosion of IN625 in salts containing chlorides showed a catastrophic corrosion rate of 1.111”/year at 800ºC (Ref1). Hence, an innovative coatings solution to mitigate molten chloride salt corrosion is needed. Of the many coating techniques available in the market, no one technique appears to be capable of producing effective protection from molten salt corrosion at a relatively low cost. There are thermal spray coating techniques, in particular the twin wire-arc technology, that are attractive when considering the coating of large molten salt tanks because the coatings application rate is high, the overall application cost is low and repairs to the coating can readily be made either in the shop or in the field. However, the twin wire arc coating materials currently available in the market have certain inherent limitations, including porosity and mechanical bonding to the substrate, which limit their effectiveness in providing protection against molten chloride salt corrosion at high temperatures. What is required is an approach that combines the economy and versatility of thermal spray wire-arc technology with the superior resistance of advanced alloys to effectively combat molten chloride salt corrosion at elevated temperatures. Applied Thermal Coatings, Inc. (ATC) has investigated an innovative coatings technology to produce dual layer cermet/ceramic coatings that will be dense and impervious to any corrosive molten salts/fluids, thereby resisting the effects of molten salt corrosion. Development of coatings using this technology will make it possible to fabricate the molten salt systems using a relatively low-cost base material, which will reduce the overall cost of the power generating system and enhance the commercial viability of solar power. 2.0 PROJECT OVERVIEW Of the coating technologies available for the production of a cost-effective method of protection from the effects of high-temperature chloride attack, there are two that offer specific advantages for the CSP/TES application, particularly when used in a way that effectively complements the strengths of each coating method. The first of these is electroless nickel plating, through which a nickel-rich layer is produced on the surface of a component through chemical reduction. The second coating technology is aluminizing, in which aluminum is diffused into the surface of a component and, depending on the composition of the substrate, aluminides are formed. The objective of this project has been to demonstrate the feasibility of a low- cost coating for the protection of pump impellers used for the inductive transport of molten salts. Initial interest focused on an inter-metallic nickel aluminide coating and subsequently, for economic reasons, consideration also was given to a coating composed of iron aluminides. Applying such coatings to low alloy or austenitic stainless-steel substrates will provide the superior resistance to molten chloride salt corrosion and blade tip erosion that normally can be achieved only through the use of more highly alloyed – and, therefore, more expensive - nickel-base materials and it will do so at a substantially lower cost. The coating systems evaluated were designed to take advantage either of the combined strengths of the electroless nickel plating process and the aluminizing process to produce a nickel-aluminide intermetallic coating or to rely solely on the aluminizing process to produce, in conjunction with iron from the substrate, a protective layer consisting of iron aluminides. With respect to the nickel aluminide protection, this has been achieved by first depositing a layer of nickel-rich alloy onto an austenitic stainless substrate using the electroless nickel plating process and then aluminizing the nickel- coated surface to produce the nickel aluminide coating. With respect to the iron aluminide protection, this has been achieved by aluminizing bare austenitic stainless steel. Testing has supported the conclusion that the developed coatings will resist attack by molten chloride salts at high temperatures (550°C to 750°C) and have sufficient hardness to resist blade tip erosion.The steps taken to develop either a low-cost intermetallic nickel aluminide coating using electroless nickel plating and aluminizing or a low-cost iron aluminide coating using aluminizing only, and to demonstrate the quality of the coatings and their effectiveness against molten chloride salt corrosion and erosion at high temperatures (≤ 750ºC) have been as follows: 1. Design of the optimum electroless nickel plating and aluminizing mixtures using advanced thermodynamic analysis; 2. Development of processing parameters for the electroless nickel plating and aluminizing processes, to be used either together or separately; 3. Production of specimens coated using the designated electroless nickel plating process; 4. Production of samples with intermetallic nickel aluminide coating or iron aluminide coating; 5. Investigation of the performance of the intermetallic nickel aluminide coating and the iron aluminide coating when subjected to molten chloride salts corrosion at high temperatures (≥ 750ºC); and, 6. Metallurgical characterization of the microstructure of the coatings, both prior to and after exposure to molten salt environments at elevated temperatures.

14 SOLAR ENERGY↗