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Interaction between the Blasius boundary layer and a free surface
(Cambridge University PressJournal of Fluid Mechanics, 2018-03-25)
We consider the steady, supercritical flow of a fluid layer. The layer is bounded above by a free surface and below by a rigid no-slip base. The base is in two parts: the downstream part of the base is stationary, while ...
New integrable models and analytical solutions in f(R) cosmology with an ideal gas
(American Physical SocietyPhysical Review D - Particles, Fields, Gravitation and Cosmology, 2018-01-23)
In the context of f(R)-gravity with a spatially flat FLRW metric containing an ideal fluid, we use the method of invariant transformations to specify families of models which are integrable. We find three families of f(R) ...
Black holes with a single Killing vector field: black resonators
(Journal of High Energy Physics, 2015-12-01)
Polarised black holes in AdS
(Classical and Quantum Gravity, 2016-05-03)
Hovering black holes from charged defects
(Classical and Quantum Gravity, 2015-05-21)
Mathematical Imaging Tools in Cancer Research - From Mitosis Analysis to Sparse Regularisation
(University of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsRobinson College, 2018-02-24)
This dissertation deals with customised image analysis tools in cancer research. In the field of biomedical sciences, mathematical imaging has become crucial in order to account for advancements in technical equipment and ...
The effect of gas on multi-stage mixed-flow centrifugal pumps
(University of CambridgeDepartment of Applied Mathematics and Theoretical PhysiscsDarwin, 2018-03-24)
The production from an oil reservoir is a mixture of liquids (oil and water) and gas, and is often maintained by using a pump placed in the well to ensure a continuous flow to the surface. Electrical Submersible Pumps ...
Geographic and demographic transmission patterns of the 2009 A/H1N1 influenza pandemic in the United States
(University of CambridgeApplied Mathematics and Theoretical PhysicsKing's, 2018-05-19)
This thesis describes how transmission of the 2009 A/H1N1 influenza pandemic in the United States varied geographically, with emphasis on population distribution and age structure. This is made possible by the availability ...
High-Energy Aspects of Inflationary Cosmology
(University of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsCorpus Christi College, 2017-07-21)
Since the discovery of the cosmic microwave background (CMB), our understanding of the cosmos has been rapidly evolving. Detailed measurements of the CMB temperature fluctuations have led to a standard cosmological model, ...
An analytically-based method for predicting the noise generated by the interaction between turbulence and a serrated leading edge
(ElsevierJournal of Sound and Vibration, 2018-05-26)
This paper considers the interaction of turbulence with a serrated leading edge. We investigate the noise
produced by an aerofoil moving through a turbulent perturbation to uniform flow by considering the scattered
pressure ...