L. Botto
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12 records found
1
Turbulent Dissolution
Numerical Simulation of Multiphase Particle Dissolution with Focus on Lithium Recovery from Waste Batteries
The simulations show a clear non-monotonic performance penalty caused by turbulence. The global reaction rate is lowest at a resonant Kolmogorov-based Stokes number of 0.23. At this condition, preferential concentration is the strongest. This causes strong local clustering and reactant starvation inside the dense particle filaments. This resonant condition is the basis for a predictive engineering model for mixer design. The model defines a "clustering risk" zone for critical particle sizes as a function of mixer power and geometry. The analysis also shows internal kinetic limits, like the formation of a product layer, that if not quickly dissolved, inhibits the overall performance.
The main conclusion is that making the process faster by increasing mixing is not always as productive as expected. It is limited by a resonant clustering penalty.
This challenges the common engineering idea that more mixing energy is always good for dissolution. Finally, this work gives a physics-based model to help with practical industrial problems. These problems include reactor design, process scale-up, and optimization of solids loading. This optimization must balance throughput with the performance reduction from particle clustering. ...
The simulations show a clear non-monotonic performance penalty caused by turbulence. The global reaction rate is lowest at a resonant Kolmogorov-based Stokes number of 0.23. At this condition, preferential concentration is the strongest. This causes strong local clustering and reactant starvation inside the dense particle filaments. This resonant condition is the basis for a predictive engineering model for mixer design. The model defines a "clustering risk" zone for critical particle sizes as a function of mixer power and geometry. The analysis also shows internal kinetic limits, like the formation of a product layer, that if not quickly dissolved, inhibits the overall performance.
The main conclusion is that making the process faster by increasing mixing is not always as productive as expected. It is limited by a resonant clustering penalty.
This challenges the common engineering idea that more mixing energy is always good for dissolution. Finally, this work gives a physics-based model to help with practical industrial problems. These problems include reactor design, process scale-up, and optimization of solids loading. This optimization must balance throughput with the performance reduction from particle clustering.
The first part focuses on MDS, in which a two-dimensional particle tracking model was developed to simulate the separation of graphite particles suspended in a paramagnetic MnCl2 solution subjected to a non-uniform magnetic field. The model incorporated experimentally determined magnetic suscep- tibility values, a magnetic field profile generated from COMSOL and a particle size distribution. The simulation reproduced key phenomena which were experimentally observed such as levitation height around 5-6 mm, settling dynamics and lateral particle accumulation.
In the second part a dimensionless SCM was developed to describe the leaching behaviour of LiCoO2 particles in sulfuric acid. The model includes mass transfer, diffusion and surface reaction mechanisms to describe the dissolution of the LiCoO2 particles. While the SCM captured general leaching trends, it overestimated leaching efficiencies due to assumptions of uniform lithium dissolution and neglecting increasing diffusion resistance during the leaching process and it the effect of H2O2 was not taken into account. Therefore a more advanced SCM with varying crust was developed, which included the formation of a Co3O4 crust on the LiCoO2 core. For this model, the alignment with experimental leaching data was improved across varying conditions of acid concentrations, H2O2 concentrations, pulp density, temperature and particle size.
These results demonstrate that both MDS and leaching models can be effectively described through computational modelling. Both methods offer a valuable insight into LIB recycling process and can support the design of more sustainable and efficient recovery systems. ...
The first part focuses on MDS, in which a two-dimensional particle tracking model was developed to simulate the separation of graphite particles suspended in a paramagnetic MnCl2 solution subjected to a non-uniform magnetic field. The model incorporated experimentally determined magnetic suscep- tibility values, a magnetic field profile generated from COMSOL and a particle size distribution. The simulation reproduced key phenomena which were experimentally observed such as levitation height around 5-6 mm, settling dynamics and lateral particle accumulation.
In the second part a dimensionless SCM was developed to describe the leaching behaviour of LiCoO2 particles in sulfuric acid. The model includes mass transfer, diffusion and surface reaction mechanisms to describe the dissolution of the LiCoO2 particles. While the SCM captured general leaching trends, it overestimated leaching efficiencies due to assumptions of uniform lithium dissolution and neglecting increasing diffusion resistance during the leaching process and it the effect of H2O2 was not taken into account. Therefore a more advanced SCM with varying crust was developed, which included the formation of a Co3O4 crust on the LiCoO2 core. For this model, the alignment with experimental leaching data was improved across varying conditions of acid concentrations, H2O2 concentrations, pulp density, temperature and particle size.
These results demonstrate that both MDS and leaching models can be effectively described through computational modelling. Both methods offer a valuable insight into LIB recycling process and can support the design of more sustainable and efficient recovery systems.
A point-bubble model for bubble generation, transport and interaction in electrolysis
Numerical simulations of bubble flow for hydrogen production
However, green hydrogen production suffers from scalability issues, as large-scale water electrolysis is limited by the efficiency of the actual electrolysis process. Such efficiency problems arise from the formation of bubbles on the electrodes, which eventually rise with the motion of the water surrounding said electrode. These bubbles in turn are capable of coalescing and producing a boundary-like layer around the electrode. This "plume" affects the efficiency of the electrolysis process.
This master thesis aims to aid in the understanding of how said bubble formation affects the efficiency of the electrolysis process, by creating point-bubble simulations to model the thought-to-be stochastic generation of bubbles on an electrode, their dynamics (growth and detachment) near the electrode, and the collision between bubbles. This will hopefully help to better understand how these bubbles evolve inside of the electrolyser. ...
However, green hydrogen production suffers from scalability issues, as large-scale water electrolysis is limited by the efficiency of the actual electrolysis process. Such efficiency problems arise from the formation of bubbles on the electrodes, which eventually rise with the motion of the water surrounding said electrode. These bubbles in turn are capable of coalescing and producing a boundary-like layer around the electrode. This "plume" affects the efficiency of the electrolysis process.
This master thesis aims to aid in the understanding of how said bubble formation affects the efficiency of the electrolysis process, by creating point-bubble simulations to model the thought-to-be stochastic generation of bubbles on an electrode, their dynamics (growth and detachment) near the electrode, and the collision between bubbles. This will hopefully help to better understand how these bubbles evolve inside of the electrolyser.
These investigations defined and modeled potential phenomena, including, but not limited to, pressure-induced liquid ”leakout” from the wick and the re-wetting of the undersaturated wick. A 2D axisymmetric computational model of the heat pipe was also developed in COMSOL Multiphysics for simulating steady-state operation. The model solves the coupled equations for heat transfer and fluid flow, accounting for the solid casing, the liquid-saturated porous wick, and the compressible vapor core. The dynamic analysis revealed that under high accelerations, significant wick dryness can occur, with its severity being highly dependent on wick permeability. Furthermore, the theoretical results indicate that the leaked liquid can shorten the re-wetting period of the wick, possibly leading to a rapid recovery of thermal performance. The steady-state computational model was also successfully validated against existing literature, demonstrating accurate predictions of temperature, pressure, and velocity profiles. The study successfully provides a validated steady-state model and a preliminary mathematical framework for understanding the complex physics of sloshing in heat pipes. While the final objective of coupling the dynamic and steady-state models was not achieved, this work lays the critical groundwork for future transient multiphysics simulations of heat pipes. ...
These investigations defined and modeled potential phenomena, including, but not limited to, pressure-induced liquid ”leakout” from the wick and the re-wetting of the undersaturated wick. A 2D axisymmetric computational model of the heat pipe was also developed in COMSOL Multiphysics for simulating steady-state operation. The model solves the coupled equations for heat transfer and fluid flow, accounting for the solid casing, the liquid-saturated porous wick, and the compressible vapor core. The dynamic analysis revealed that under high accelerations, significant wick dryness can occur, with its severity being highly dependent on wick permeability. Furthermore, the theoretical results indicate that the leaked liquid can shorten the re-wetting period of the wick, possibly leading to a rapid recovery of thermal performance. The steady-state computational model was also successfully validated against existing literature, demonstrating accurate predictions of temperature, pressure, and velocity profiles. The study successfully provides a validated steady-state model and a preliminary mathematical framework for understanding the complex physics of sloshing in heat pipes. While the final objective of coupling the dynamic and steady-state models was not achieved, this work lays the critical groundwork for future transient multiphysics simulations of heat pipes.
In the Langmuir-Blodgett assembly, nanosheets adsorbed at planar fluid interfaces are compressed by barriers. The compression results in buckling of the fluid interface laden with a monolayer of nanosheets. To understand the buckling of a monolayer of nanosheets, we studied a simplified model system comprising millimetric Mylar sheets at a fluid-fluid interface. This model system allowed the precise measurement of both the buckling force and the buckling wavelength. The wavelength was found to be of the order of a few particle diameters. We developed a theoretical model based on energy minimization, which agrees well with the experimentally measured buckling force and wavelength. Building on insights from the model systems and accounting for van der Waals interactions between overlapping 2D nanosheets, we proposed a theoretical model to explain the buckling wavelengths observed in monolayers of nanosheets.
In spray drying, the evaporation of water drops containing particles results in the formation of buckled capsules. Previous studies on spherical colloids have shown that evaporation leads to accumulation of particles at the air-water interface. This accumulated particle layer (shell) buckles under further compression as evaporation proceeds. However, the following questions remain unanswered: (1) how particle adsorption at the interface affects evaporation rate, (2) what criterion governs onset of buckling, (3) how this criterion depends on particles adsorption at the interface, and (4) how the evaporation rate affects the final buckled morphology. To address these questions, we studied the evaporation of a single water drop containing graphene oxide nanosheets deposited on superhydrophobic substrates.
We found that particle adsorption at the interface had a negligible effect on the evaporation rate of drops. We explain this by adapting mathematical models from an analogous electrostatic problem. The model predicts that when the particles are uniformly distributed at the interface and are much smaller than the drop, the evaporation rate is identical to that of a pure water drop. In contrast, the onset of buckling strongly depends on particle adsorption at the interface. To explain this dependence, we modeled the shell as a particle bilayer. The bilayer buckles when the total interfacial tension becomes negative, which is qualitatively in agreement with the experiments. Finally, the buckling wavelength of the dried capsule decreased with increasing evaporation rate. For a fixed solid fraction, faster evaporation results in thinner shells. In thin shells, the low bending energy compared to the stretching energy favors high-curvature deformations, producing shorter buckling wavelengths.
In conclusion, this dissertation advances the fundamental understanding of the buckling of interfaces laden with plate-like particles. The results obtained provide practical ways to control the microstructure of industrially produced 3D materials made from 2D nanosheets. ...
In the Langmuir-Blodgett assembly, nanosheets adsorbed at planar fluid interfaces are compressed by barriers. The compression results in buckling of the fluid interface laden with a monolayer of nanosheets. To understand the buckling of a monolayer of nanosheets, we studied a simplified model system comprising millimetric Mylar sheets at a fluid-fluid interface. This model system allowed the precise measurement of both the buckling force and the buckling wavelength. The wavelength was found to be of the order of a few particle diameters. We developed a theoretical model based on energy minimization, which agrees well with the experimentally measured buckling force and wavelength. Building on insights from the model systems and accounting for van der Waals interactions between overlapping 2D nanosheets, we proposed a theoretical model to explain the buckling wavelengths observed in monolayers of nanosheets.
In spray drying, the evaporation of water drops containing particles results in the formation of buckled capsules. Previous studies on spherical colloids have shown that evaporation leads to accumulation of particles at the air-water interface. This accumulated particle layer (shell) buckles under further compression as evaporation proceeds. However, the following questions remain unanswered: (1) how particle adsorption at the interface affects evaporation rate, (2) what criterion governs onset of buckling, (3) how this criterion depends on particles adsorption at the interface, and (4) how the evaporation rate affects the final buckled morphology. To address these questions, we studied the evaporation of a single water drop containing graphene oxide nanosheets deposited on superhydrophobic substrates.
We found that particle adsorption at the interface had a negligible effect on the evaporation rate of drops. We explain this by adapting mathematical models from an analogous electrostatic problem. The model predicts that when the particles are uniformly distributed at the interface and are much smaller than the drop, the evaporation rate is identical to that of a pure water drop. In contrast, the onset of buckling strongly depends on particle adsorption at the interface. To explain this dependence, we modeled the shell as a particle bilayer. The bilayer buckles when the total interfacial tension becomes negative, which is qualitatively in agreement with the experiments. Finally, the buckling wavelength of the dried capsule decreased with increasing evaporation rate. For a fixed solid fraction, faster evaporation results in thinner shells. In thin shells, the low bending energy compared to the stretching energy favors high-curvature deformations, producing shorter buckling wavelengths.
In conclusion, this dissertation advances the fundamental understanding of the buckling of interfaces laden with plate-like particles. The results obtained provide practical ways to control the microstructure of industrially produced 3D materials made from 2D nanosheets.
To provide insights for the rational design of the LCC procedure and the understanding of deformation of nanosheets in the shear flow, this thesis tackles two relevant fluid dynamics problems: (i) sedimentation of polydisperse suspensions, and (ii) buckling of flexible particles in the shear flow, both in the Stokes flow regime. The approaches adopted in this thesis are mainly numerical, including Stokesian dynamics and boundary integral method, which are efficient methods to simulate particle dynamics in Stokes flow. Moreover, collaborations with experimentalists have been established during this thesis. The code developed has been used to answer practical questions.
Overall, this thesis contributes to the understanding of particle dynamics in Stokes flow, including the settling of polydisperse suspensions and buckling of flexible sheets in the shear flow, utilizing the theories and numerical approaches of microhydrodynamics. Results of this thesis can be used to optimize the procedures of liquid processing of 2D nanomaterials and in other relevant applications. ...
To provide insights for the rational design of the LCC procedure and the understanding of deformation of nanosheets in the shear flow, this thesis tackles two relevant fluid dynamics problems: (i) sedimentation of polydisperse suspensions, and (ii) buckling of flexible particles in the shear flow, both in the Stokes flow regime. The approaches adopted in this thesis are mainly numerical, including Stokesian dynamics and boundary integral method, which are efficient methods to simulate particle dynamics in Stokes flow. Moreover, collaborations with experimentalists have been established during this thesis. The code developed has been used to answer practical questions.
Overall, this thesis contributes to the understanding of particle dynamics in Stokes flow, including the settling of polydisperse suspensions and buckling of flexible sheets in the shear flow, utilizing the theories and numerical approaches of microhydrodynamics. Results of this thesis can be used to optimize the procedures of liquid processing of 2D nanomaterials and in other relevant applications.
We analysed the particle sizes of anode and cathode material obtained from a spent Li-ion battery. A shift in particle size distributions is observed by grinding the materials, significantly reducing the particle sizes. We calculated the velocity distributions using Stokes’ formula for the settling velocity of spherical particles in dilute suspensions from these size distributions. Combining the velocity distributions for the anode andcathode showed the overlap of the velocities. A combination of milled and unmilled material shows the smallest overlap between the velocity distributions and, therefore, the largest difference in sedimentation velocity and the highest theoretical separation.
We measured the sedimentation of anode and cathode particles in water optically using a light source. A camera tracks the moving front of the dilute suspensions over time. Experiments of different milled samples for various concentrations show insights into the anode and cathode sedimentation behaviour. Results show that increasing concentration significantly reduces sedimentation velocities for the anode material. Theseresults deviate from what would be expected from the hindered settling of dilute suspension. A significant velocity reduction is measured for the milled anode and cathode, therefore showing the potential for separation if the materials have a marked difference in size.
In this thesis, a novel method is developed for characterising the sediment structure of the mixed active materials. By freezing sedimented suspensions, sample layers are horizontally cut off to look for the spreading of the different material components through the sediment. A combination of characterisation methods offers information about the anode and cathode fractions through the sediment layers. Significant differences between the sediment’s top and bottom layers regarding morphology, elemental components and thermal stability are observed.
The results show the potential for circular batteries in the future, where centrifugation can play a vital role in separating the electrode materials if they have a marked size difference. ...
We analysed the particle sizes of anode and cathode material obtained from a spent Li-ion battery. A shift in particle size distributions is observed by grinding the materials, significantly reducing the particle sizes. We calculated the velocity distributions using Stokes’ formula for the settling velocity of spherical particles in dilute suspensions from these size distributions. Combining the velocity distributions for the anode andcathode showed the overlap of the velocities. A combination of milled and unmilled material shows the smallest overlap between the velocity distributions and, therefore, the largest difference in sedimentation velocity and the highest theoretical separation.
We measured the sedimentation of anode and cathode particles in water optically using a light source. A camera tracks the moving front of the dilute suspensions over time. Experiments of different milled samples for various concentrations show insights into the anode and cathode sedimentation behaviour. Results show that increasing concentration significantly reduces sedimentation velocities for the anode material. Theseresults deviate from what would be expected from the hindered settling of dilute suspension. A significant velocity reduction is measured for the milled anode and cathode, therefore showing the potential for separation if the materials have a marked difference in size.
In this thesis, a novel method is developed for characterising the sediment structure of the mixed active materials. By freezing sedimented suspensions, sample layers are horizontally cut off to look for the spreading of the different material components through the sediment. A combination of characterisation methods offers information about the anode and cathode fractions through the sediment layers. Significant differences between the sediment’s top and bottom layers regarding morphology, elemental components and thermal stability are observed.
The results show the potential for circular batteries in the future, where centrifugation can play a vital role in separating the electrode materials if they have a marked size difference.
...
Biochar for horticultural and agricultural applications using high temperature torrefaction technology
Biochar for horticultural and agricultural applications using high temperature torrefaction technology
A Lagrangian passive scalar solver for mass transport in electrolytes and coupling to the particle-resolved Bluebottle
Code development, testing & validation
The dynamics of the tracers are modelled using a simplified Langevin equation. In the present work, the migration flux is omitted and priority is given to convection and diffusion with the objective of establishing a foundation for the simulation of ionic mass transport. Brownian motion is described using a random displacement term. The coupling with the flow field is achieved using trilinear interpolation. The domain boundaries in regards to tracer dynamics are modelled as either a rigid wall pair or as a periodic boundary pair. Specular reflection is programmed for the former ensuring elastic collision of a tracer with the domain boundary. For the latter, the tracer position is altered so as to place the tracer in the opposite side of the domain in the axis of intrusion. Particles are assumed to be non-penetrative and hence, specular reflection is implemented at the surface of each particle. Since the tracer module is coupled one-way with the flow field and executed after a Bluebottle time-step, a subroutine is developed to push the tracers out of a particle radially if a tracer is located inside a particle after a Bluebottle time-step. To ensure particle interaction is ensured across periodic boundaries, a subroutine is developed that places the particle in an apparent location that enables particle-tracer interaction.
The module execution time is found to be linearly proportional to the number of particles and the number of tracers and consumes roughly 10% of a Bluebottle iteration execution time in nominal tests. The module is tested to ensure the Brownian displacement term obeys diffusion statistics and also to ensure that the trilinear interpolation works as intended. The numerically enforced no-penetration boundary at particle surfaces is also tested and observed to prevent intrusion of tracers.
The tracer module is then used to stochastically simulate mass transport across a particulate suspension in a stagnant and a sheared flow field. The Sherwood number Sh determined from the tracer module is found to agree well with the expected experimental and numerical results of Wang et al. (2009). The tracer module is also compared to a scalar field solver of Bluebottle. The tracer module is observed to capture features of the flow field quite well. However, the transient tracer positions upon conversion to a transient continuous concentration field exhibits noise due to the discrete nature of the tracers. Hence, transient comparisons with a continuous field in terms of absolute magnitude requires a large number of tracers.
Recommendations for improvement of the code is provided. The present work is intended to be followed up with the addition of migration flux to the equations of motion for the tracers through the solution of an additional equation for velocity of the tracer using a force equivalence of Coulomb's law and Stokes' drag law. Future challenges that will be encountered in the development of an accurate ionic mass transport solver is briefly discussed. ...
The dynamics of the tracers are modelled using a simplified Langevin equation. In the present work, the migration flux is omitted and priority is given to convection and diffusion with the objective of establishing a foundation for the simulation of ionic mass transport. Brownian motion is described using a random displacement term. The coupling with the flow field is achieved using trilinear interpolation. The domain boundaries in regards to tracer dynamics are modelled as either a rigid wall pair or as a periodic boundary pair. Specular reflection is programmed for the former ensuring elastic collision of a tracer with the domain boundary. For the latter, the tracer position is altered so as to place the tracer in the opposite side of the domain in the axis of intrusion. Particles are assumed to be non-penetrative and hence, specular reflection is implemented at the surface of each particle. Since the tracer module is coupled one-way with the flow field and executed after a Bluebottle time-step, a subroutine is developed to push the tracers out of a particle radially if a tracer is located inside a particle after a Bluebottle time-step. To ensure particle interaction is ensured across periodic boundaries, a subroutine is developed that places the particle in an apparent location that enables particle-tracer interaction.
The module execution time is found to be linearly proportional to the number of particles and the number of tracers and consumes roughly 10% of a Bluebottle iteration execution time in nominal tests. The module is tested to ensure the Brownian displacement term obeys diffusion statistics and also to ensure that the trilinear interpolation works as intended. The numerically enforced no-penetration boundary at particle surfaces is also tested and observed to prevent intrusion of tracers.
The tracer module is then used to stochastically simulate mass transport across a particulate suspension in a stagnant and a sheared flow field. The Sherwood number Sh determined from the tracer module is found to agree well with the expected experimental and numerical results of Wang et al. (2009). The tracer module is also compared to a scalar field solver of Bluebottle. The tracer module is observed to capture features of the flow field quite well. However, the transient tracer positions upon conversion to a transient continuous concentration field exhibits noise due to the discrete nature of the tracers. Hence, transient comparisons with a continuous field in terms of absolute magnitude requires a large number of tracers.
Recommendations for improvement of the code is provided. The present work is intended to be followed up with the addition of migration flux to the equations of motion for the tracers through the solution of an additional equation for velocity of the tracer using a force equivalence of Coulomb's law and Stokes' drag law. Future challenges that will be encountered in the development of an accurate ionic mass transport solver is briefly discussed.