Andrew Crosby
I am fourth year PhD student under the supervision of Prof. John Lister and based in the Department of Applied Maths and Theoretical Physics at the University of Cambridge.
Research Interests
I am a member of the Institute of Theoretical Geophysics with interest in buoyancy driven viscous flows. My research falls broadly into two categories:
- Viscous plumes: Motivated geophysically by the hypothesis that buoyant uprisings of hot fluid within the Earth's mantle are responsible for the formation of volcanic island chains such as Hawaii. My research here has included an experimental and numerical investigation into the instability of titled cylinders of buoyant fluid as a model for plume conduits that have been sheared over by background flow within the Earth's mantle. I'm also interested in the effects of temperature dependent viscosity on the structure of mantle plumes.
- Particle sedimentation: Most research in this field has focussed on one particular scenario: the sedimentation of particles within a large closed container. My interest is in a wider class of sedimentation flows where the region of sedimenting particles is either localised spatially or is under the influence of an applied background flow. In particular, I'm interested in the effect of a background flow on the hydrodynamic mixing of particles within a suspension.
During the summer of 2011 I was fortunate enough to attend the excellent Geophysical Fluid Dynamics Program at the Woods Hole Oceanographic Institution. As a result of my work there, I also have a side interest in the (somewhat different) area of inviscid vortex dynamics.
Publications
- Lister, Kerr, Russell & Crosby, 2011, Rayleigh–Taylor instability of an inclined buoyant viscous cylinder, J. Fluid Mech.
- Crosby & Lister, 2012, Falling plumes of point particles in viscous fluid, Phys. Fluids
- Crosby, Johnson & Morrison, 2013, Deformation of vortex patches by boundaries, Phys. Fluids
- Crosby & Lister, Hydrodynamic diffusion of sedimenting point particles in a vertical shear flow (Under consideration for publication in J. Fluid Mech. )
Teaching
I have supervised undergraduate students from all three years of the Mathematical Tripos in the following courses:
- Dynamics and Relativity
- Differential Equations
- Methods
- Asymptotic Methods
Contacts
Office: H1.04
Address:
Department of Applied Mathematics and Theoretical Physics,
Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA
Telephone: +44 1223 764066
Fax: +44 1223 765900
