Differential Equations
The construction and analysis of mathematical models based on differential equations is a useful methodology for understanding industrial processes. A full list of InFoMM research projects in differential equations, organised by topic, is given below.
The affiliated company is given in brackets after the project's name. Click on a project title to find out more about its mathematical and industrial background, progress so far, and plans for future work.
Electrical and Chemical Modelling
- Electrochemical Modelling of Batteries for Off-Grid Energy Storage Systems (BBOXX)
- Long-Term Degradation of Lithium-Ion Batteries (Siemens)
- Silicon Anodes in Lithium-Ion Batteries (Nexeon)
- Thermal Electrical Behaviour of Metallurgical Processes (Norce)
- New Models for Ion Transport in Liquid Crystal Devices (Merck)
- Electrical current distribution in a silicon furnace (Elkem)
- Material flow in a silicon furnace (Elkem)
Fluid Mechanics
- Liquid Lithium Heat Flux Transport Inside a Tokamak Fusion Reactor (Tokamak Energy)
- A Critical Analysis of Cereal Extrusion (Nestlé)
- Dynamics and Stability of a Thin Liquid Lithium Flow within a Tokamak Divertor (Tokamak Energy)
- Fluid Flow through Vegetation (US Army Corps of Engineers and HR Wallingford)
- Improving the Efficiency of Low-Head Hydropower (VerdErg)
- Modelling and Analysis of Paste Flow and Segregation in High Performance Søderberg Electrodes (Elkem)
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Modelling the Influence of Ureteroscopes on Urological Flows and Stone Dynamics (Boston Scientific)
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Mathematical Modelling of Unsteady Flows during Ureteroscopy (Boston Scientific)
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Laser Modelling for Optimisation of Kidney Stone Removal (Boston Scientific)
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Modelling the Use of Dispersants on Oil Spills (BP)
- Modelling Removal of Sulphur Dioxide from Flue Gas (Gore)
- Mathematical Models of Particle Filtration (Gore)
Heat and Mass Transfer
- Mathematical Modelling of Alumina Feeding (Norce)
- Mathematical Modelling of Silicon Furnaces (Elkem)
- Modelling the Mechanisms of Microsilica Particle Formation and Growth (Elkem)
- Modelling Solidification of Binary Alloys (Elkem)
- Multiphase Modelling of Coffee Bean Roasting (Jacobs Douwe Egberts)
Mathematical Biology
- Characterising the Behaviour of Bifurcating Systems with Parameter Distribution (AstraZeneca)
- Forecast modelling for combination disease comorbidity (Biosensors Beyond Borders)
- Predictive Models of Metabolite Concentration for Organoid Expansion (Cellesce)