2- and 3-dimensional multiphysics numerical modeling of soft ferromagnets

Contacts:
Senior Researcher Kaspar Kirstein Nielsen (kaki@dtu.dk), Senior Researcher Rasmus Bjørk (rabj@dtu.dk) or Senior Researcher Christian Bahl (chrb@dtu.dk), DTU Energy

Challenge: Detailed modeling of finite sized soft ferromagnets with localized properties is lacking on a micron to millimeter scale. At larger dimensions bulk properties are well understood and modeled. Smaller scales (going into the nano-regime) so-called micro magnetism has been thoroughly developed over the past decades. The challenge is thus to bridge these two size scales through a multiphysics model. Heat transfer, magnetism and stress-strain are key physics involved in the project.

Figure 1. Magnetized sphere (the red arrows indicate the magnetic flux density field) and the color represents temperature (blue is colder while red is warmer)

Idea: The idea is to combine several numerical models into a multiphysics solver. These models are i) a 3D model for magnetostatic units (rectangular prisms or spheres), ii) a basic state function model enabling derivation of magnetization (M) and entropy (S) as a function of temperature and magnetic field, iii) a 3D heat transfer model simulating transient conduction and optionally iv) a 2D structural mechanics model enabling analysis of the stress-strain in combination with the heat transfer and magnetism models.

 

Student’s task: You will be tasked with combining the already existing models that describe magnetism and structural mechanics. You will then work on the development of a new model of 3D heat transfer and use this in combination with the existing models to study the dynamic properties of soft ferromagnetic samples.