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. Sequence of images illustrating bubble dynamics mathematical research

 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

Dr Qianxi Wang

Dr Qianxi Wang

Senior Lecturer

School of Mathematics

Qianxi’s current research is mainly on bubble dynamics and cavitation generation.

Qianxi has published 60 journal papers. 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 google scholar or researchgate.

Qianxi has obtained over £2M research ...

Telephone
+44 (0) 121 414 6602
Email
q.x.wang@bham.ac.uk

Dr Rosemary Dyson

Dr Rosemary Dyson

Reader in Applied Mathematics

School of Mathematics

Rosemary Dyson is a Reader in Applied Mathematics and Director for New Staff. 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 ...

Telephone
+44 (0) 121 414 3415
Email
r.j.dyson@bham.ac.uk

Dr David Leppinen

Dr David Leppinen

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

Dr Warren R. Smith

Dr Warren R. Smith

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