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)
• Modelling the Influence of Ureteroscopes on Urological Flows and Stone Dynamics (Boston Scientific)
• Mathematical Modelling of Unsteady Flows during Ureteroscopy (Boston Scientific)
• Laser Modelling for Optimisation of Kidney Stone Removal (Boston Scientific)
• Modelling the Use of Dispersants on Oil Spills (BP)
• Fines Migration in Oil Reservoirs (BP)
• Multiphase Pipe-Flow with an Application to Oil Wells (PDS)
• 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)