Anthony Thornton Homepage

Post-Doctoral Researcher

Office : AT 2.231

Member of Manchester Centre for Non-Linear Dynamics

Department of Mathematics

The University of Manchester

Oxford Road

M13 9PL

E-mail : anthony.thorntonATmanchester.ac.uk

Click here to obtain a copy of my CV

Teaching

MT 30241 : Asymptotic Expansions and Perturbation Methods

Research Interests

My main research interest is in granular materials. I am interested in size segregation in dense granular avalanche flows. This research under the supervision of Dr Nico Gray. During this research we have developed a continuum model of size segregation for dense granular free surface flows. A large number of analytical and numerical solutions to these equation have been constructed and compared to experiments.

The focus of this research is now on using this model to explained phenomena cause by segregation. These include pattern formation in rotation drums, levee formation in geophysical flows, particle size structure of a flowing finite mass of material in avalanches and axial segregation in long rotating cylinders.

Publications

Published

[6] Shearer, M, Gray, J.M.N.T and Thornton, A.R. Stable solutions of a scalar conservation law for particle-size segregation in dense granular avalanches. Euro. Jnl of Applied Mathematics (2008) 19 p61-86
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[5] McIntryre, M. Rowe, E.L., Shearer, M., Gray,J. M. N. T and Thornton, A. R. Evolution of a Mixing Zone in Granular Avalanches Applied Mathematics Research eXpress (2008)
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[4] Thornton, A.R. and Gray, J.M.N.T. Breaking size-segregation waves and particle recirculation in granular avalanches JFM (2008) 598 p261-284
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[3] Gray, J.M.N.T , Shearer, M. and Thornton, A.R. Time-dependent solutions for particle-size segregation in shallow granular avalanches. Proc Royal Soc.(2006)462 p947-972
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[2] Thornton, A.R. Gray, J.M.N.T and Hogg, A. A Three-Phase Model of Segregation in Granular Avalanche Flows. JFM(2006) 550 p1-25
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[1] Gray, J.M.N.T and Thornton, A.R. Theory for Particle Size segregation in Shallow Granular Free-Surface Flows. Proc Royal Soc. A (2005) 461 p 1447-1473
Click here to obtain a copy