Chris Breward
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View article: The transition from lubrication flow to extensional flow in the overflow fusion process
The transition from lubrication flow to extensional flow in the overflow fusion process Open
We derive a mathematical model for the overflow fusion glass manufacturing process. In the limit of zero wedge angle, the model leads to a canonical fluid mechanics problem in which, under the effects of gravity and surface tension, a free…
View article: Mathematical Modelling of Face Coverings for Virus Protection
Mathematical Modelling of Face Coverings for Virus Protection Open
Traditional face masks used extensively, for example, during the COVID-19 pandemic, are relatively impermeable, forcing aerosol-containing breath to flow into the surrounding atmosphere by ``leaking" out from the lateral edges of the mask.…
View article: Modelling throughput through the justice system
Modelling throughput through the justice system Open
His Majesty's Courts and Tribunal Service is a complex system that criminal cases flow through. Understanding how the system works and how cases flow through the system can be used to plan and evaluate the system. We design a simple compar…
View article: Surface-tension-driven buckling of a thin viscous sheet
Surface-tension-driven buckling of a thin viscous sheet Open
We derive leading-order governing equations and boundary conditions for a sheet of viscous fluid retracting freely under surface tension. We show that small thickness perturbations about a flat base state can lead to regions of compression…
View article: The role of temperature and drying cycles on impurity deposition in drying porous media
The role of temperature and drying cycles on impurity deposition in drying porous media Open
We consider a liquid containing impurities saturating a porous material; when the liquid evaporates, the impurities are deposited within the material. Applications include filtration and waterproof textiles. We present a mathematical model…
View article: Evaporation and deposition in porous media
Evaporation and deposition in porous media Open
In this work, we consider a porous material that is filled with a liquid solution containing molecules from multiple species with known starting concentrations. As the solvent evaporates, molecules from these species are left behind and de…
View article: Oxygen profile in an experimental cell culture apparatus
Oxygen profile in an experimental cell culture apparatus Open
Cells can be readily grown outside of the body on the bottom of specialised plastic tissue culture dishes containing a nutrient liquid. The use of culture dishes with an oxygen-permeable base allows oxygen to reach the cells from below. In…
View article: Mathematical modelling of pipe flow and extrusion of composite materials
Mathematical modelling of pipe flow and extrusion of composite materials Open
There are a large number of industrial applications which involve the extrusion of aerated composite materials through an orifice. Often such delicate structures change due to shear and pressure fields experienced on extrusion. We formulat…
View article: Perspiration modelling of the human foot
Perspiration modelling of the human foot Open
SATRA Technology wishes to use an “artificial foot” to replace those of live volunteers in comfort tests for shoes. The artificial foot has the size and shape of a real foot and is made of a heated aluminium core surrounded by a polyuretha…
View article: A simple model for desulphurisation of flue gas using reactive filters
A simple model for desulphurisation of flue gas using reactive filters Open
Desulphurisation of flue gas is essential before it can be released safely into the atmosphere. One way of removing sulphur dioxide is to use a purification device incorporating a reactive filter, in which the flue gas stream passes in fro…
View article: Modelling the flow through Sugar Cane
Modelling the flow through Sugar Cane Open
We construct mathematical models for the flow of sugarcane and juice through a sugar diffuser. The models describe how the concentration of sugar in the juice increases during the process. The flow through the sugar cane in the diffuser is…
View article: Modelling the flow through Sugar Cane
Modelling the flow through Sugar Cane Open
We construct mathematical models for the flow of sugarcane and juice througha sugar diffuser. The models describe how the concentration of sugar in thejuice increases during the process. The flow through the sugar cane in thediffuser is an…
View article: Data for: A dynamic network model for the action of low salinity on two-phase flow.
Data for: A dynamic network model for the action of low salinity on two-phase flow. Open
The network data files contain information about the network structure of each simulation, including the volume of the pores, and the adjacency matrix weighted by the throat radius. The drainage, high salinity waterflood, low salinity wate…
View article: Modelling Low-Salinity Oil Recovery Mechanisms Using an Ion Dissociation Model
Modelling Low-Salinity Oil Recovery Mechanisms Using an Ion Dissociation Model Open
Experimental evidence shows that injecting low-salinity water during the oil recovery process can lead to an increase in the amount of oil recovered. Numerous mechanisms have been proposed to explain this effect, and, in recent years, two …
View article: Art by the Many: London Style Cults of the 1960s
Art by the Many: London Style Cults of the 1960s Open
The annals of art history can readily be reduced to a catalogue of names, but salient examples of group effort are never hard to find. In London, the example of the Independent Group (IG) need only be adduced, but its immediate successors …