Thermal convection in rotating spherical shell is the fundamental model of the fluid inner core of the Earth.
Fluids
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Patterns of convection in rotating spherical shell
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Patterns of thermal convection.
Thermal convection is one of the simplest pattern forming spatially extended systems.
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Busse columns of convection
Thermal convection in rotating spherical shell is the fundamental model of the fluid inner core of the Earth.
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Radial component of the geomagnetic field
Comparison between observations (left) and a numerical simulation (right).
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Flowfield around bacteria
The flowfield around a single cell of the bacterium Bacillus subtilis that is constrained between a lower no-slip boundary and an upper stress-free boundary.
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Simulation of swimming algae
The flowfield around the biflagellated swimming green algae Chlamydomonas nivalis produced using the method of regularized stokeslets: the flagella beat at 50 Hz.
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Counterflow turbulence
The study of vortex dynamics in superfluid helium may help us understand complex fluid motions, which remains one of natures great challenges.
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.
