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 Martina Cracco

Martina Cracco

Research student, School of Mathematics

Email
craccom@cardiff.ac.uk
Campuses
Room M/2.30, 21-23 Senghennydd Road, Cathays, Cardiff, CF24 4AG

Overview

Research Group

Applied Mathematics

Research Interests

Computational Fluid Dynamics, viscoelasticity, non-Newtonian fluids, boundary layers, hydrodynamics stability theory, bypass transition, numerical methods

Research

Research interests

The aim of my research project is to improve the understanding of the stability behaviour of non-Newtonian fluids in boundary layers.

In the first part of my PhD I considered a flow of a second grade fluid over a wedge. A first look at the 2D linear stability analysis suggests that non-Newtonian effects tend to delay the instability. Three-dimensional perturbations cannot be ignored for non-Newtonian fluids because Squire's theorem is not proven in general. In fact, I showed that elasticity in this model tends to destabilise disturbances that are highly three-dimensional. Moreover, the non-Newtonian effects in this model increase the growth of energy over short periods of time. This approach is called bypass transition analysis and gives a more complete insight of the linear stability than the eigenmode analyis.

Currently I am working on the bypass transition of a more complex viscoelastic model, that is Oldroyd B.

Teaching

PAST

  • MATHS support
  • Foundations of Mathematics II tutorials
  • Linear algebra I tutorials

CURRENT

  • MATHS support

Thesis

Stability Analysis of non-Newtonian Fluids in Boundary Layers

Funding source

EPSRC

Supervisors

Tim Phillips photograph

Professor Tim Phillips

Head of School, Mathematics

Areas of expertise