Development of a numerical platform for the modeling and optimal control of liquid metal flows

The main purpose of this work is to develop a numerical platform for the turbulence modeling and optimal control of liquid metal flows. Thanks to their interesting thermal properties, liquid metals are widely studied as coolants for heat transfer applications in the nuclear context. However, due to their low Prandtl numbers, the standard turbulence models commonly used for coolants as air or water are inadequate. Advanced turbulence models able to capture the anisotropy in the flow and heat transfer are then necessary. In this thesis, a new anisotropic four-parameter turbulence model is presented and validated. The proposed model is based on explicit algebraic models and solves four additional transport equations for dynamical and thermal turbulent variables. For the validation of the model, several flow configurations are considered for different Reynolds and Prandtl numbers, namely fully developed flows in a plane channel and cylindrical pipe, and forced and mixed convection in a backward-facing step geometry. Since buoyancy effects cannot be neglected in liquid metals-cooled fast reactors, the second aim of this work is to provide mathematical and numerical tools for the simulation and optimization of liquid metals in mixed and natural convection. Optimal control problems for turbulent buoyant flows are studied and analyzed with the Lagrange multipliers method. Numerical algorithms for optimal control problems are integrated into the numerical platform and several simulations are performed to show the robustness, consistency, and feasibility of the method.

Liquid biofuels for aviation: valorisation of the by-product biochar

Biochar is a carbonaceous material produced through pyrolysis of biomass. One promising application of biochar is phosphorus recovery from wastewater. Phosphorus is a vital nutrient for plant growth, but its use in fertilizers often leads to runoff or leaching. Wastewater treatment plants discharge large amounts of phosphorus-rich wastewater, contributing to eutrophication and ecological harm. Biochar can sorb phosphorus, retaining it in solid form. In this thesis, two composites made of biomass and dolomite or shells exhibited superior phosphate sorption compared to biochar alone, reaching up to 100% sorption. Biochar also finds use in soil remediation, specifically in cleaning up contaminated soil. Polycyclic aromatic hydrocarbons (PAHs), which can be carcinogenic and toxic, can be present in soil. Biochar adsorb PAHs, preventing their leakage or bioaccumulation. Hetero-PAHs, a subclass of PAHs with nitrogen, sulfur, or oxygen atoms in their ring structures, are particularly challenging to degrade. Little is known about their behavior or sorption onto biochar. In this thesis, biochar and activated carbon were effective in immobilizing PAHs and hetero-PAHs in real soils, with rates of immobilization reaching 100%. Biochar performed equally or better than activated carbon, offering a cost-effective alternative due to its lower price. Biochar reduce of metal(loid)s mobility in soil. Metal(loid)s like lead, zinc, and arsenic can contaminate soil through industrial sources, agricultural runoff, and other pollution, and are toxic to plants and animals, rendering the soil unsuitable for agriculture. When biochar is added to contaminated soil, it binds to metal(loid)s, preventing leaching into the environment. A biomass-dolomite composite was compared to activated carbon for immobilizing metal(loid)s in contaminated soils. The composite generally outperformed activated carbon and exhibited the ability to immobilize arsenic. In summary, biochar shows promise for phosphorus recovery, soil remediation, and reducing the mobility of heavy metals, offering cost-effective and sustainable solutions to these environmental challenges.