The contamination crisis and a filtration fix: Two modelling frameworks for particle filtration

By Arkady Wey FiltrationFiltration is the separation of particles from fluid, usually by passing it through a membrane (Figure 1). It is used extensively for wastewater decontamination, and for harmful-particulate removal from exhaust gases in combustion plants. There are few larger problems facing humanity: The WHO has predicted that 10% […]

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Mathematical modelling of washing machines and tumble dryers

By Torin Fastnedge and Chloe Bernard Research estimates suggest that up to 35% of the microplastics found in our oceans originate from our clothing, specifically microfibres, which are released during the washing machine cycle. Subsequently, these minuscule particles enter the water and are ingested by humans through our food and […]

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The mathematics of chemical decontamination

by Ellen Luckins Following a chemical weapons attack, it is crucial for public safety that any hazardous chemical agent remaining in the environment is properly removed. In particular, if the hazardous agent has seeped into porous building materials such as plasterboard, brick, or concrete, it cannot simply be wiped away. […]

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COVID-19 modelling: rapidly predicting the spatially varying infection risk indoors from airborne transmission

By Ian Griffiths 1, Katerina Kaouri 2, Aaron English 2, and Zechariah Lau 2. 1. University of Oxford, Mathematical Institute 2. Cardiff University, Dep. of Mathematics The virus causing the COVID-19 pandemic, SARS-CoV-2, is transmitted through virus-carrying respiratory droplets, which are released when an infected person coughs, sneezes, talks or […]

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The UK Graduate Modelling Camp 2020: A Student’s Perspective

By Ed Donlon The UK Graduate Modelling Camp (www.maths.ox.ac.uk/r/infommgradcamp) took place from 15-17 July 2020 under slightly unusual circumstances, as the COVID-19 pandemic necessitated online-only attendance, rather than the usual in-person experience. Nevertheless, the camp was undoubtedly a huge success, thanks in no small part to the fantastic work put […]

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Using mathematics to optimise the performance of filtration membranes

By Victoria Pereira Membrane filtration is a process used for the clarification, purification, and separation of fluid mixtures. In a typical filtration system, a mixture of fluid and contaminant particles is passed through a porous membrane; the fluid passes through while the particles are retained, either on the surface of […]

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Accurate answers using imprecise calculations

By Oliver Sheridan-Methven, University of Oxford Mathematical Institute, PhD in industrially focused mathematical modelling For a huge variety of tasks we require computer simulations to produce useful answers. This can be from everyday items, such as simulating weather patterns to produce the weather forecasts, to on-demand simulations of financial markets […]

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BAKING THE CARBON CAKE Homogenisation Applied to the Electrical Calcination of Carbon Materials

By Caoimhe Rooney The metallurgy industry is a gold-mine for mathematical treasures, from partial differential equation models describing crust formation (which notoriously hinders furnace operation), to population balance equations explaining the formation and growth of microsilica particles (which impacts the performance of composite materials). Through the collaboration of the University […]

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