Fluids

Fluid Dynamics is the study of the motion of fluids (both liquids and gases) and poses one of the great unsolved problems of classical physics - the problem of turbulence. Our research in Fluid Mechanics covers a number of interdisciplinary applications, and an enormous range of scales from the magnetohydrodynamics of stellar and planetary magnetic fields to the swimming of bacteria, and there is considerable overlap of interests with the Mathematical Biology Group. The group has funding from the EPSRC, and many collaborators in Europe and the USA.

Dr Andrew Baggaley Lecturer

Turbulence ; superfluids ; magnetohydrodynamics ; dynamo theory 

Member of other research groups: Mathematical Biology
Postgraduate opportunities: Counterflow turbulence , Two-fluid turbulence at low temperatures

Dr David Bourne Lecturer

Calculus of variations; partial differential equations; numerical analysis; applications in fluid and solid mechanics and materials science;  application of mathematics to problems in industry

Member of other research groups: Solid Mechanics, Analysis

Prof Nicholas A Hill Head of School

Biological and physiological fluid dynamics; bioconvection; physiological pulse propagation

Member of other research groups: Solid Mechanics, Mathematical Biology
Research students: Weiwei Chen, Muhammad Umar Qureshi, Lei Wang, Reem Almahmud

Prof Xiaoyu Luo Professor of Applied Mathematics

Biomechanics; fluid-structure interactions; mathematical biology ; solid mechanics

Member of other research groups: Solid Mechanics, Mathematical Biology
Research staff: Hao Gao, Wenguang Li
Research students: Weiwei Chen, Yujue Hao, Xingshuang Ma, Nan Qi, Lei Wang, Andrew Allan

Dr Steven Roper Lecturer

Fluid driven fracture; compositional convection; thin films; phase-change driven fluid motion and crystal growth

Member of other research groups: Solid Mechanics
Research student: Lei Wang

Dr Radostin Simitev Lecturer

Thermal convection in rotating systems. MHD and dynamo theory

Member of other research groups: Mathematical Biology
Research staff: Luis Silva
Research students: Andrew Allan, Ameneh Asgari Targhi

Nan Qi PhD Student

Research Topic: Finite element-immersed boundary method and its application to mitral valves and the heart
Member of other research groups: Solid Mechanics, Mathematical Biology
Supervisor: Xiaoyu Luo

Muhammad Umar Qureshi PhD Student

Research Topic: Pulse Propagation in the Pulmonary Circulation
Supervisor: Nicholas A Hill

Counterflow turbulence (PhD)

Supervisors: Andrew Baggaley
Relevant research groups: Fluids

The two-fluid model of superfluid helium was invented by Tisza & Landau in the late 1930s to account for the remarkable flow properties of liquid helium at very low temperatures. These properties include the fluid’s ability to perfectly conduct heat and to flow without friction, superfluidity. Counterflow is a mechanism of heat conduction in these special fluids, in which the counterflow of two fluids prevents the formation of any localised "hot spots" ( hence bubbles don’t form in boiling liquid helium below 2.17 Kelvin). This (apparently) ideal heat transfer makes liquid helium very useful to engineers: lacking any other usable fluid (below 4 K, all other materials freeze), liquid helium can cool many important devices, from infrared detectors on board orbiting satellites, to the powerful superconducting magnets that accelerate elementary particles or that form the heart of medical imaging equipment. However above a certain critical velocity the smooth laminar flow of the superfluid component transitions into into a disordered tangle of quantized vortex filaments, which dissipate kinetic energy. A number of important open questions are outstanding in this turbulent regime and we would aim to address some of these questions in this project.

 

Two-fluid turbulence at low temperatures (PhD)

Supervisors: Andrew Baggaley
Relevant research groups: Fluids

Nearly every fluid in the universe is affected by turbulence, from the flow of blood in your body, clouds in the atmosphere, and the interstellar medium in the galaxy. Although our understanding of the nature of turbulence is improving, we are a long way from a full understanding of the random, chaotic motion of these liquids and gases. Part of the problem is that although we commonly think of turbulence as being a collection of vortices or eddies, in a classical fluid such as water or air these vortices are not well defined elements. However at very low the weirdness of quantum mechanics changes the game. The fluid loses its friction and rotational motion in the fluid is constrained to thin well defined quantised vortices, mini tornadoes, which thread through the fluid. This project would investigate the coupling between the normal and superfluid components of liquid helium, when both fluids are driven into a turbulent state. We would aim to model experiments taking place in Grenoble and Prague, and disseminate our work at leading international conferences.