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EPSRC Reference: GR/J36877/01
Title: THE MICROSCOPIC MODELLING OF CELLULAR AND DENTRITIC GROWTH
Principal Investigator: Hunt, Professor JD
Other Investigators:
Researcher Co-Investigators:
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Department: Materials
Organisation: University of Oxford
Scheme: Standard Research (Pre-FEC)
Starts: 01 August 1994 Ends: 31 October 1997 Value (£): 190,453
EPSRC Research Topic Classifications:
Materials Characterisation
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Summary on Grant Application Form
Recent work in a Brite Euram scheme on Rapid solidification has led us to develop a numerical model for cellular and dendritic growth. This is the first model that has been able to make predictions about array spacings and undercooling without including an arbitrary growth criteria such as marginal stability . it is also the only model which distinguishes between cells and dendrites. Initial calculations indicate that the model agrees very well with experiment both at low and very high growth rates. In the proposed project the model will be rewritten so that results may be obtained more efficiently and will be extended to better describe dendritic growth. Extensive calculations will be carried out to characterise the complete range of growth conditions between the onset of constitutional undercooling and absolute stability. Critical experiments will be carried out on transparent material in glass cells and thin tubes (to minimise convection) to validate the predictions. Similar experiments will be carried out on metallic systems using different size tubes so that comparison may be made with experiment not appreciably influenced by convection. The transition between cellular and dendritic growth will be investigated both experimentally and numerically (by considering the relative stability of the two arrays). Finally the numerical results will be used to produce an analytical description of the two growth forms.
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Organisation Website: http://www.ox.ac.uk