Micropolar fluid models: Applications and Implementation

Micropolar fluid models: Applications and Implementation

Internship Description

Cosserat’s media differ from Cauchy’s media of classical continuum mechanics by admitting infinitesimal deformations besides the infinitesimal translations. In this case a couple stress tensor has to be considered additionally to the classical Cauchy stress tensor.  The restriction of the infinitesimal deformations to allow only rotations gives rise to a simplified model known as micropolar (theory). When describing fluids motion the kinematical description is augmented by a vector field, known as micro-rotations or spin, taking into account for the infinitesimal rotations, and an additional equation for the balance of the angular momentum, where the couple stress comes in.  With respect to applications this model lends itself to the description of suspensions of nano-sized particles. Two technologies recently targeted by our group are: Nanofluids and Ferrohydrodynamics (FHD). The interest in the former is related to its heat transfer properties. The later, a suspension of magnetic nano-sized particles, is more challenging due to its multi-physics nature coupling fluid mechanics and magnetism, and has great potential in biomedical applications. Regarding implementation, our group is continuously developing and extending an in-house parallel code based on the isogeometric analysis concept, providing discretization capabilities to work with such complex and multi-physics models.  The internship will have the opportunity to work and contribute with other members of the project focusing in his/her abilities and interests.  Possible contributions are: implementing those complex models, parallel programming (our code are all developed with the PETSc library), verification and validation of the models, but are not limited to those.

Faculty Name

Field of Study

​​Physical Science & Engineering