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The KTN, most often in conjunction with the Research Councils, supports collaborative postdoctoral research. This page is a catalogue of the projects that have been supported in this way.
This project will develop the theoretical underpinnings of water droplet impact and splashing through a combination of modelling, simulation and experimentation. The focus will be on the effects of droplet distortion prior to impact and surface roughness on impact dynamics. Better prediction in droplet impacts will improve the design of ice protection systems for aircraft wings and engine intakes and support compliance with rigorous new icing-safety regulations.
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This Faraday research project aims to develop and validate models of cell seeding, cell transport, tissue growth, scaffold blocking and degradation and flow of nutrients and waste in bioreactors. There is currently rather limited detailed mathematical modelling in this area and the complexity of the interactions involved suggests that significantly greater insight and quantitative understanding may be obtained by complementing experimental approaches with mathematical studies.
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Multimode fibres are being used increasing for short-range communications applications in buildings, aircraft, trains, etc, owing to their low cost and ease of splicing. However, if information about individual modes is required, traditional modelling techniques are inadequate.
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Microwave heating produces moisture distributions that are complex and fundamentally different from convective heating. Moisture loss occurs through evaporation, diffusion and pressure driven flow, and directly affects food quality. Uneven heating will increase moisture loss as well as leading to nutrient loss and flavour degradation.
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The final texture or structure of foodstuffs such as bread and cake depends upon how the originally liquid material (dough in the case of bread) and its gas content evolve during baking. This Faraday Partnership project has developed mathematical models and numerical solutions for the temperature and density of the final solid matrix.
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Scraped surface heat exchangers (SSHEs) are devices used to transfer heat into and out of food substances in a quick and efficient manner, whilst retaining structure in the food. However, there is a balance to be sought, in terms of processing treatment, between final structure and sterilisation of the food. This Faraday Partnership project was directed at using mathematical models to understand the basic mechanisms that may be exploited for heat exchange.
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In seismic exploration the ground is illuminated with accoustic or
elastic waves in the 5-100 Hz frequency band. The scattered energy is recorded for multiple source and receiver positions. From measurements of the scattered wavefield can be deduced information
about properties of the subsurface.
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The aim of this Faraday Partnership project was to develop models of high speed impact of water droplets, into water layers, that result in splashing. Heat, as well as mass, transfer will be included, and the effects on surface geometry will be carefully studied. This research enhances the understanding of ice formation on aircraft passing through clouds.
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There is great interest in prediction methods that enable
specific designs to be analysed and the probability of EMC compliance assessed, and this was the major motivation of this Faraday Partnership project.
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The study of penetration by a shaped charge jet is of great importance, in respect of both military and civil applications.
The latter include the oil industry, ejector seat mechanisms, and also civil engineering work such as the decommissioning of large structures.
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Grating aligned nematic liquid crystal (LC) cells are of
interest for displays and other optical devices. To understand
and optimise these devices, one needs to be able to probe the
LC director profile around and above the grating structure.
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This project has developed novel
methodologies for the fusion of physical knowledge with observations. Its aim was to provide (probabilistic) models which are compatible both with the underlying physics and expert human knowledge, and also with the data.
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The objective in this Faraday Partnership project was to provide distributed mechanisms for the allocation of resources in telecommunications networks. The approach taken was to allocate bandwidth quickly and effectively in response to signals from users about anticipated future demand, drawing on many ideas from economics.
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