Mathematical
Modelling of Fluid Flows
Contact:
Prof John Blake
Applied Mathematics Group
School of Mathematics
The University of Birmingham
Edgbaston, Birmingham
B15 2TT, United Kingdom
Email: informatics-crn-enquiries[at]cs.bham.ac.uk
Website: http://www.mat.bham.ac.uk/research/applied/
Mathematical and computational
models of fluid flows, bubble formation and interaction, film formation,
hydrodynamics, cell dynamics, with applications ranging from engineering,
to seismology and biology, are being studied.
For example, the study
into bubble dynamics is motivated by the need to understand a variety
of practical problems, including acoustic source signatures from arrays
of seismic airguns; laser, acoustic and shock generated cavities near
biological tissue; underwater explosion bubbles; mine defence systems;
non-linear acoustic wave propagation through bubbly flows; and cell damage
due to bursting bubbles in bioreactors. The major theoretical and computational
challenge in this area is to develop numerical methods to solve the non-spherical
collapse of a bubble in a compressible fluid. The aim is to understand
the complex shock structure induced by the violent collapse of the bubble,
building on incompressible and weakly compressible theories and numerical
expertise at Birmingham.
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