# Martina Cracco

## Myfyriwr ymchwil, Yr Ysgol Mathemateg

Email:
craccom@cardiff.ac.uk
Location:
Room M/2.30, 21-23 Ffordd Senghennydd, Cathays, Caerdydd, CF24 4AG

Mae'r cynnwys hwn ar gael yn Saesneg yn unig.

### Research Group

Applied Mathematics

Fluid Dynamics

### Dysgu

PAST

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

CURRENT

• MATHS support

### Traethawd ymchwil

#### Computational fluid dynamics

My research concerns the behaviour of non-Newtonian fluids in Boundary Layers. Many real fluids, such as water and air, are well described by the Navier-Stokes theory. This theory is based on the assumption of a Newtonian constitutive equation, where the extra-stress tensor can be expressed as a linear, isotropic function of the components of the velocity gradient. However, many rheological complex fluids such as polymer solutions, soaps, blood, paints, shampoo, ketchup are not well described by a Newtonian constitutive equation, which does not take into account any relaxation and retardation phenomena. Viscoelastic fluids are examples of non-Newtonian fluids, they exhibit both viscous and elastic properties when undergoing deformation. Elasticity is the tendency of the material to return to its original shape once the external force is removed.
The aim of the my research is to understand the behavior of such fluids in boundary layers. Boundary layers are thin layers near the surface of an object where the velocity varies from zero at the wall to the full velocity at a certain distance from the wall. The Boundary Layer theory, presented by Prandtl in 1904, has a lot of practical applications, such as the calculation of the friction drag of bodies in a flow. Therefore it is natural to extend it for non-Newtonian fluids. A lot of work in this sense has already been done, the aim of this project is to contribute to the research in this topic.

EPSRC