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Prof Mike Cates

Prof Mike Cates

Lucasian Professor of Mathematics (DAMTP)

Royal Society Research Professor


Specialist research areas

Biological Fluid Dynamics:

 

Capsule/cell dynamics

    • cytoskeletal locomotion; cell crawling

Micro-organism dynamics

    • collective motion of self-propelled organisms in fluids

Propulsion

    • coupling of fluid motion to chemotaxis and other taxes

Complex Fluids:

 

Colloids

    • glass transition and resulting flow behaviour in dense colloidal fluids

Emulsions

    • dense emulsions and their rheology; models based on "soft glassy materials"

Foams

    • foam rheology via models based on "soft glassy materials"; Ostwald ripening

Granular media

    • bulk granular and surface granular flows; jamming transitions

Liquid crystals

    • hydrodynamic equations for active and passive LCs and their numerical solution

Suspensions

    • shear thickening rheology in dense suspensions

Instability:

 

Nonlinear instability

    • Rheological instabilities at zero Reynolds number; rheo-chaos

Materials Processing Flows:

 

Polymer processing

    • statistical physics models of molten and glassy polymers

Micro-/Nano-fluid Dynamics:

 

Non-continuum effects

    • breakdown of lubrication layers in suspensions; slip lengths and slip velocities

Multiphase and Particle-laden Flows:

 

Particle/fluid flow

    • dynamics of interfacial particle in binary fluids

Non-Newtonian Flows:

 

Plastic materials

    • physical modelling of polymer glasses

Polymers

    • physical modelling of polymer glasses

Rheology

    • rheology of complex fluids: relation to microstructure, glass transitions etc

Viscoelasticity

    • viscoelasticity in complex fluids: relation to microstructure, glass transitions etc

Nonlinear Dynamical Systems:

 

Chaos

    • rheological instabilities at zero Reynolds number; rheo-chaos

Pattern formation

    • phase ordering dynamics and its arrest

Departments and Institutes

Applied Maths (DAMTP):

Collaborators outside this directory

Application Areas

 

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Bio-medical

    • Health impacts

Manufacturing

    • Chemicals & materials
    • Food & drink
    • Hi-tech

Natural world

    • Mass movement

Techniques

 

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Analytical

Physically-based

    • Scaling arguments
    • Empirical modelling
    • Reduced models

Stochastic techniques

Numerical

Grid-based

    • Direct numerical simulation