Bubble dynamics
Our research group has been established for more than 30 years and is recognised as a world leader in the mathematics of bubbles. 
Research interests
- Multi-scaled modelling of bubble dynamics in compressible and viscous liquid
- Bubble dynamics near a rigid boundary, a free surface, an interface between two liquids and/or other bubbles, at a corner, inside a tube or fully confined domain, subject to buoyancy or ultrasound
- Physical, mathematical and computational studies of cavitation generation
- Kelvin impulse theory
- Bubble jetting, topological transition of bubbles and toroidal bubble dynamics
- Energy loss of a bubble system due to the emission of shockwaves and viscous effects
- Cavitation cleaning of implant teeth using ultrasonic scaler
- Underwater explosion bubbles
- Drug delivery using encapsulated microbubbles and ultrasound
- Analytical modelling of spherical bubbles and encapsulated microbubbles
- Stability analyses of bubbles and encapsulated microbubbles
Group members
Associate Professor
School of Mathematics
Qianxi's current research is mainly on bubble dynamics and cavitation generation.
Qianxi has published 65 journal papers with 10 papers in Journal of Fluid Mechanics and 21 papers in Physics of Fluids. About a half of them are in A* journals in Applied Mathematics according to the ERA Journal rankings (widely used by mathematicians for journal ranking). For a list of publications, please see Goog ...
- Telephone
- +44 (0) 121 414 6602
- Email
- q.x.wang@bham.ac.uk
Professor in Applied Mathematics
School of Mathematics
Rosemary Dyson is a Professor in Applied Mathematics. She applies the principles of mathematical modelling to mechanical problems in biological and industrial contexts, generating novel insights into the systems involved, as well as new mathematical techniques. As such her work is inherently highly collaborative, involving frequent interactions with experimentalists.
She coordinates the ...
- Telephone
- +44 (0) 121 414 3415
- Email
- r.j.dyson@bham.ac.uk
Senior Lecturer
School of Mathematics
Dr David Leppinen is a Senior Lecturer in Applied Mathematics.
He has extensive experience applying mathematics to examine Industrial processes. His research has been recognized with a Patent for the design of a dissolved air flotation and has been exhibited at the Royal Society’s Summer Science Festival and on the BBC News 24 Science Review.
David is currently interested in studying the ...
- Telephone
- +44 (0) 121 414 6585
- Email
- d.m.leppinen@bham.ac.uk
Lecturer
School of Mathematics
Warren has published over 30 research papers in scientific journals in the fields of mathematical modelling and perturbation theory. He has received grants from the EPSRC and has collaborated with research groups in the Netherlands, United States and world-leading multinationals.
Warren has pioneered the application of strongly nonlinear analysis to the Navier-Stokes equations. Original results ...
- Telephone
- +44 (0) 121 414 6192
- Email
- w.smith@bham.ac.uk
Research collaborations since 2014
- School of Dentistry, University of Birmingham
- University of Warwick
- University of Oxford
- Queen Mary University
- Nanyang Technological University Singapore
- Dalian University of Technology, China
- Harbin Engineering University, China
- Jiangsu University of Science and Technology, China
- Shanghai Jiao Tong University, Chinaa
- Federal University of Rio de Janeiro, Brazil
- University of Colorado, USA