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Going beyond Navier-Stokes: fluid mechanics at the nanoscale

Develop advanced multiscale computational methods to accurately model non-continuum fluid flow at the nanoscale. Research will bridge molecular physics to predictive macro-scale models, enabling breakthroughs in sustainable energy and advanced manufacturing technologies.

Primary supervisor: Professor Duncan Lockerby - Email: Duncan.Lockerby@warwick.ac.uk

Project detail:
The limits of classical fluid dynamics are now the primary bottleneck in designing next-generation devices. When flow occurs through channels narrower than 100 nanometers—such as in advanced microchip cooling, desalination membranes, or drug delivery systems—the traditional continuum models fail entirely. This PhD project addresses this critical gap by moving beyond the Navier-Stokes framework to explore the fundamental kinetic behavior of fluids.

We are seeking a highly motivated PhD candidate for a project focused on developing multiscale computational methods. You will utilize and advance cutting-edge Direct Simulation Monte Carlo (DSMC) and Molecular Dynamics (MD) techniques to accurately model rarefied and non-equilibrium flow states. The core research will focus on bridging the gap between molecular interactions and macro-scale predictive models, providing necessary validation against experimental data. This research is essential for breakthroughs in sustainable energy technologies and advanced manufacturing.

This role is ideally suited for candidates holding, or expecting to obtain, degrees (or equivalent) in Mechanical Engineering, Physics, Applied Mathematics, or Computational Science. Any prior experience in fluid dynamics, statistical mechanics, numerical methods and scientific programming would be advantageous (but not all essential).


The University of Warwick provides an inclusive working and learning environment, recognising and respecting every individual’s differences. We welcome applications from individuals who identify with any of the protected characteristics defined by the Equality Act 2010.

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