Britta Nestler’s research while affiliated with Karlsruhe Institute of Technology and other places

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Publications (487)


3D morphology of SOFC anodes, consisting of nickel (blue), GDC (red) and pore space (yellow), for the pristine state (a) as well as for operating temperatures of 700 °C (b) and 900 °C (c). Both samples are manufactured by means of the infiltration process, reduced at a temperature of 650 °C, and imaged with a voxel size of 20 nm.
Time evolution of polarization resistance of the electrode of cells F and D, i.e., annealed at 700 °C and 900 °C, measured at 600 °C under a gas mixture of steam: hydrogen 50 : 50 for reference.
Geometrical descriptors of the three phases nickel (blue), GDC (red) and pore space (yellow) for different operating temperatures. Upper row: volume fraction (a), specific length of TPB (b), constrictivity (c), as well as SSA (d), which is divided into the contributions from the different interfaces through the hatching, is shown. Lower row: probability densities of local descriptors based on non-overlapping cubic cutouts of size 2.5 μm.
Mean geodesic tortuosity (a), mean geodesic tortuosity of paths starting from TPB (b), and dilated mean geodesic tortuosity with r = 0.1 μm (c), for the three phases nickel (blue), GDC (red) and pores (yellow), for different operating temperatures.
Cumulative distribution functions of spherical contact distance (a) and chord length (b) for the three phases nickel (blue), GDC (red) and pores (yellow), as well as centered two-point coverage probability functions for each of these phases (c), and for combinations of different phases (d), for an operating temperature of 700 °C and 900 °C, respectively.

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Comparing the 3D Morphology of Solid-Oxide Fuel Cell Anodes for Different Manufacturing Processes, Annealing Times, and Operating Temperatures
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  • Full-text available

April 2025

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10 Reads

Sabrina Weber

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Benedikt Prifling

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Martin Juckel

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Volker Schmidt

Solid oxide fuel cells (SOFCs) are becoming increasingly important due to their high electrical efficiency, the flexible choice of fuels and relatively low emissions of pollutants. However, the increasingly growing demands for electrochemical devices require further performance improvements as for example by reducing degradation effects. Since it is well known that the 3D electrode morphology, which is significantly influenced by the underlying manufacturing process, has a profound impact on the resulting performance, a deeper understanding for the structural changes caused by modifications of the manufacturing process or degradation phenomena is desirable. In the present paper, we investigate the influence of the annealing time and the operating temperature on the 3D morphology of SOFC anodes using 3D image data obtained by focused-ion beam scanning electron microscopy, which is segmented into gadolinium-doped ceria, nickel and pore space. In addition, structural differences caused by manufacturing the anode via infiltration or powder technology, respectively, are analyzed quantitatively by means of various geometrical descriptors such as specific surface area, mean geodesic tortuosity, and constrictivity. The computation of these descriptors from 3D image data is carried out both globally as well as locally to quantify the heterogeneity of the anode structure.

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FIG. 10. Dependence of the normalized film height˜hheight˜ height˜h on the capillary number for different contact angles at the time of breakthrough. The contact angles 60 • , 90 • , and 120 • are shown in brown, blue, and green.
FIG. 11. Nondimensionalized breakthrough time t breakthrough = t physical /t char , as a function of the capillary number Ca, for different contact angles.
FIG. 14. Schematic drawing of the fluid distribution at any time t > t 0 , with geometric relationships at the three-phase interface between the two fluids and the capillary wall.
Modeling the drying process in hard carbon electrodes based on the phase-field method

March 2025

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26 Reads

Physical Review Materials

The present work addresses the simulation of pore emptying during the drying of battery electrodes. For this purpose, a model based on the multiphase-field (MPF) method is used, since it is an established approach for modeling and simulating multiphysical problems. A model based on phase fields is introduced that takes into account fluid flow, capillary effects, and wetting behavior, all of which play an important role in drying. In addition, the MPF method makes it possible to track the movement of the liquid-air interface without computationally expensive adaptive mesh generation. The presented model is used to investigate pore emptying in real hard carbon microstructures. For this purpose, the microstructures of real dried electrodes are used as input for the simulations. The simulations performed here demonstrate the importance of considering the resolved microstructural information compared to models that rely only on statistical geometry parameters such as pore size distributions. The influence of various parameters such as different microstructures, fluid viscosity, and the contact angle on pore emptying are investigated. In addition, this work establishes a correlation between the capillary number and the breakthrough time of the solvent as well as the height difference of the solvent front at the time of breakthrough. The results indicate that the drying process can be optimized by doping the particle surface, which changes the contact angle between the fluids and the particles. Published by the American Physical Society 2025


Role of interfacial surface anisotropy on liquid grooving at grain boundaries: A phase-field study

March 2025

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41 Reads

Engineering materials are polycrystalline in nature, consisting of numerous single crystals interconnected through a three-dimensional interfacial network known as grain boundaries. Often essential in defining the performance and durability of materials, grain boundaries attract considerable attention during alloy development. Initially, we employ a multi-phase-field model and validate the phenomenon of grain-boundary grooving under isotropic energy conditions, with bulk diffusion as the dominant mass transport mechanism. Subsequently, we investigate the effects of interfacial surface anisotropy and crystal misorientation on groove formation. This present study focuses on the effects of interfacial surface anisotropy and crystal misorientation and, thus, allows us to draw comparisons between the effects of different physical phenomena on the grain-boundary behavior. It is observed that the groove kinetics accelerate as a result of fourfold anisotropy, with groove root deepening proportional to the imposed anisotropic strength. Furthermore, the phase-field results presented here align well with theoretical predictions. In addition, we briefly study on the effect of solid–solid anisotropy on the groove root position. We anticipate that the simulated liquid groove and its precise measurement will serve as important tools for studying the relative energies of grain boundaries.


Fluid propagation and protein adsorption patterns in porous nitrocellulose membranes for lateral flow assays

March 2025

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23 Reads

Lateral flow assays (LFAs) have caught new attention in recent years due to extensive use in the containment of the COVID-19 pandemic. Especially the protein and fluid interactions with the nitrocellulose membrane structure are yet to be fully investigated, which affect the fluid and protein distribution of the test and control lines differently due to different adsorptive properties of fluids and proteins. Therefore, the relationship between fluid spread and protein distribution, respectively, and structure needs systematic evaluation. Two procedures were developed based on passive adsorption of complementary fluorescent dyes to investigate these phenomena. These procedures enabled three-dimensional visualization of the membrane structure, fluid as well as the protein spreading, respectively. Confocal laser scanning microscopy was applied after depositing picoliter and nanoliter volumes of the printing buffers containing fluorophore-labeled proteins (immunoglobulin G) and Oregon Green™ 488 onto the membrane using a high precision micro dispenser. The resulting data were correlated with the membrane's tortuosity and permeability. Inverse-proportional dependencies for the lateral spread of the fluid and protein adsorption with the structural parameters were observed. Additionally, surfactants [polysorbate 80 (PS80) and sodium dodecylbenzenesulfonate (SDBS), both at 0.1%] were added individually to the buffers, and the spread of the liquids was evaluated. Both surfactants increase the similarities between fluid and protein shape compared to the reference data. While SDBS increases the general lateral spread, PS80 does increase the penetration depth of the protein into the membrane, which could lead to reduced signal in LFAs.


No-slip, slip and friction at fluid-solid interfaces: Concept of adsorption layer

February 2025

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83 Reads

When a fluid contacts solid surfaces, it can spread or slide, and the motion of the contact line involves a complex interplay between hydrodynamic and thermodynamic effects. Hydrodynamic theories, like the Huh & Scriven and Cox & Voinov models, assumeno-slip boundary condition, neglecting the macroscopic fluid slip at the fluid-solid interface. However, they cannot explain the contact line motion during droplet spreading whichthermodynamic theories is attribute to the microscopic surface diffusion of fluid molecules. To bridge these perspectives, we heed the physical origin of slip phenomenon by employing energy minimization principles to establish a force balance between solid-fluid friction, thermodynamic force, and viscous stress at the fluid-solid contact region. Our analysis reveals that slip is an intrinsic property, just like molecular surface diffusion, is also governedfluid-solid intermolecular interactions. Based on our model with slip, we extend the classical Huh & Scriven and Cox & Voinov theories by incorporating friction, enabling a more comprehensive understanding of droplet slide and kinetic induced contact angle hysteresis (CAH). Our results demonstrate that solid-fluid friction plays a vital role in momentum transfer between the substrate and the droplet, therefore, modifies the droplet internal fluid flow during wetting drastically. Under strong friction, classical wetting predictions with CAH are recovered, whereas weak friction suppresses internal fluid motion, leadingthe disappearance of CAH. These findings provide new insights into wetting dynamics, highlighting the importance of friction in slip behavior. This work has broad implications for droplet transport, surface engineering, and applications in microfluidics and coatings.


Figure 1: Modelling nanoporous, polycrystalline agglomerates. a) Nanoporous Li X TMO 2 cathode particle in half-cell configuration. b) The model combines the smoothed boundary method to parametrize the interface between electrolyte and active material with the multiphase-field approach to model anisotropic diffusion in polycrystalline agglomerates coupled with phase transitions. Secondary particle morphologies of c) as-prepared NCM111 and d) nano-porous NMC111 after spraydrying reproduced from Müller et al. [5] published under a CC BY-NC-ND licence. The Na X Ni 1/4 Mn 3/4 O 2 particle shown in e) is reproduced from Pfeiffer et al. [3] and has been published under the CC BY licence.
Figure 3: Multi-phase smoothed boundary method. a) Starting from labelled microscopy data the b) phase-fields φ i can be defined. The spatial overlap of phase-fields within the diffuse transition region is illustrated by the blending of RGB values. c) The interface between electrolyte and active material is then implicitly defined by |∇φ elyte |.
Figure 6: Evolution of Li concentration and phases during 1C CC-CV charge. Top row shows a dense agglomerate where concentration gradients form in the radial direction and the phase transitions follow a shrinking core behaviour. The nanoporous agglomerate in the bottom row exhibits a more homogenous lithium distribution and follows a mosaic pattern during the phase transition.
Simulation of intercalation and phase transitions in nano-porous, polycrystalline agglomerates

February 2025

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88 Reads

Optimal microstructure design of battery materials is critical to enhance the performance of batteries for tailored applications such as high power cells. Accurate simulation of the thermodynamics, transport, and electrochemical reaction kinetics in commonly used polycrystalline battery materials remains a challenge. Here, we combine state-of-the-art multiphase field modelling with the smoothed boundary method to accurately simulate complex battery microstructures and multi-phase physics. The phase-field method is employed to parameterize complex open pore cathode microstructures and we present a formulation to impose galvanostatic charging conditions on the diffuse boundary representation. By extending the smoothed boundary method to the multiphase-field method, we build a simulation framework which is capable of simulating the coupled effects of intercalation, anisotropic diffusion, and phase transitions in arbitrary complex polycrystalline agglomerates. This method is directly compatible with voxel-based data, e.g. from X-ray tomog-raphy. The simulation framework is used to study the reversible phase transitions in LiX NiO2 in dense and nanoporous agglomerates. Based on the thermodynamic consistency of phase-field approaches with ab-initio simulations and the open circuit potential, we reconstruct the Gibbs free energies of four individual phases (H1, M, H2 and H3) from experimental cycling data. The results show remarkable agreement with previously published DFT results. From charge simulations, we discover a strong influence of particle morphology on the phase transition behaviour, in particular a shrinking core-like behaviour in dense polycrystalline structures and a particle-by-particle mosaic behavior in nanoporous samples. Overall, the proposed simulation framework enables the detailed study of phase transitions in intercalation materials to enhance microstructure design and fast charging protocols.





Unveiling the complex morphologies of sessile droplets on heterogeneous surfaces

January 2025

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99 Reads

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1 Citation

Droplets exhibiting a myriad of shapes on surfaces are ubiquitous in both nature and industrial applications. In high-resolution manufacturing processes, e.g., semiconductor chips, precise control over wetting shapes is crucial for production accuracy. Despite the high demand for describing droplet wetting shapes and their transformations across a wide range of applications, a robust model for precisely depicting complex three-dimensional (3D) wetting droplet shapes on heterogeneous surfaces remains elusive. Herein, we fill this gap by developing a universal, high-precision model that accurately describes wetting shapes, including those with polygonal baselines and irregular footprints. Our model reveals the intricate wetting morphologies beyond the classic Young’s law and Cassie-Baxter-Wenzel models. Besides, it aligns quantitatively with physical simulations for various droplet volumes. This work provides a potential method to achieve highly complex morphologies of droplets via low-cost beforehand design of the surfaces, thereby opening up potential applications in 3D printing, printed electronics, and microfluidics.


Citations (52)


... Our model is limited to the case where surface tension forces are much more important than the gravitational force, i.e., the Bond number is much less than 1. When gravity is pronounced, such as with increased droplet volume, we refer to the ellipsoidal and pancake models 63 . ...

Reference:

Unveiling the complex morphologies of sessile droplets on heterogeneous surfaces
Wetting Phenomena: Line Tension and Gravitational Effect

Physical Review Letters

... More precisely, once calibrated to (e.g., 3D image) data, these kinds of stochastic models can be regarded as digital twins for material nano/microstructures since they allow for the generation of virtual, but realistic 3D nano/microstructures. Consequently, stochastic geometry models are informative mathematical tools for characterizing the nano/microstructure of materials with various applications. For example, using 3D morphologies generated by stochastic geometry models as input for spatially resolved numerical simulations (e.g., tensile tests or transport processes), comprehensive databases of morphologies and effective macroscopic material properties can be determined by means of computer simulations [7,21,22]. For a wide range of applications, such as batteries and fuel cells, virtual material microstructures can be generated stochastically and their properties can be analyzed using the specialized software tool GeoDict, which enables the simulation and evaluation of electrode properties, such as charging behavior, to support material optimization and performance assessment [23][24][25]. ...

Microstructure Characterization of Battery Materials Based on Voxelated Image Data: Computation of Active Surface Area and Tortuosity

... Past studies often focused on discovering new antibody-antigen-systems, 10,11 establishing new LFA-applications for different analytes [12][13][14] as well as for improved and more sensitive diagnostics. [15][16][17] On a more fundamental level, computational studies have been conducted [18][19][20][21] and a deeper understanding of the protein line printing was generated. 22 Experimentally, porous membranes have proven to be a challenging material to investigate time-and space-resolved protein adsorption, 23 which typically results in experimental settings in lower special resolutions. ...

Geometric flow control in lateral flow assays: Macroscopic two-phase modeling

... With this, the proposed LS approach is validated against all analytical predictions proposed by Garcke across the entire heterogeneity range. This LS front-capturing formulation achieves unprecedented accuracy and robustness in modeling multiple junctions, even in the presence of extreme interface heterogeneity generally neglected in the discussion of existing front-capturing models [31,15]. ...

Triple junction benchmark for multiphase-field models combining capillary and bulk driving forces

... In contrast to a sharp theory, the dividing surfaces between different fluids are replaced by a diffuse transition region, also called diffuse interface (cf. [60] for a detailed discussion). Therefore, phase variables ϕ α (x, t ) ∈ [0, 1] are introduced for each of the N considered phases. ...

Viscous stress approximations in diffuse interface methods for two-phase flow based on mechanical jump conditions
  • Citing Article
  • December 2024

Computer Methods in Applied Mechanics and Engineering

... where ℓ is a characteristic length vector reflecting the repulsive and attractive forces of neighbouring atoms and molecules. Substituting the non-local concentration,c, into the Boltzmann mixing entropy,c lnc, we see that the free energy density depends not only on c but also on ∇c (see details in Ref. [16]), namely (Fig. 1c, d) ...

Chemo-elasto-electro free energy of non-uniform system in the diffuse interface context

... Today, the diffuse interface model serves as a powerful computational tool for simulating interfacial phenomena at the mesoscale, including phase separation [4][5][6][7], solidification [8][9][10], grain boundary grooving [11], wetting behavior [12], to name a few. Unlike the sharp-interface model, the diffuse interface model represents phase boundaries as gradual transitions over a finite region, eliminating the need to explicitly track the interface position. ...

Electric-field induced phase separation and dielectric breakdown in leaky dielectric mixtures: Thermodynamics and kinetics

... Overall, stacking distortion is an important aspect of the structural performance of nickel hydroxides. Understanding this distortion is critical to optimizing the design and functionality of nickel hydroxide-based materials, especially in energy storage and conversion applications where structural integrity and electrochemical efficiency are of utmost importance [34][35][36]. ...

Surface energies control the anisotropic growth of β -Ni(OH)2 nanoparticles in stirred reactors
  • Citing Article
  • July 2024

Surfaces and Interfaces

... In the present paper we complement these analyses by arguing that inertia may also be one of the factors responsible for generic (extended) criticality behavior during martensitic transformations. We build on the observation that none of the above models takes into account the fact that martensitic phase transitions are usually accompanied by audible clicks because the corresponding phase boundaries move close to sound velocity emitting lattice scale elastic waves [70][71][72][73][74][75][76][77][78][79]. This suggests that the system exhibits rich dynamics which is revealed, in particular, by the observed intense acoustic emission activity [80]. ...

Modeling of martensitic phase transformation accounting for inertia effects

International Journal of Mechanical Sciences

... Whitaker 34 elaborated on how to derive the Darcy's law with Forchheimer correction for a uniform porous medium using the volume averaging method. Kneer et al. 35 analyzed the heat transfer and thermal storage processes in porous media using a dual-porosity model. Considering the dynamic changes in pore structure with the seepage pressure and stress, establishing a theoretical model for the relationship between permeability and porosity presented certain challenges. ...

Dual-porosity approach: heat transfer and heat storage processes in porous media
  • Citing Article
  • May 2024

Mathematical and Computer Modelling of Dynamical Systems