Beschrijving

Course goals

By the end of this lecture series, you will be able to derive basic hydrodynamic equations and perform the necessary frame transformations. You will understand how these transformations come about and what properties of a fluid give rise to certain flow behaviors. You will have familiarity with rheological analysis and understand how to characterize complex fluids. In addition, you will have become proficient in analytically solving fluid dynamical equations for (certain) complex fluids in simple geometries in the linear regime. You will also be able to solve analytically using Green's functions the behavior of (an)isotropic particles in a Newtonian fluid. Lastly, you will have a basic understanding of how microorganisms self-propel and how this influences their interaction with each other and their environment.

The focus is on analytic approaches, as well as understanding scaling and parameter relevance through dimensional analysis. However, there will also be numerical elements to the course, which help illustrate features of a few flowing systems,~\textit{e.g.}, microswimmers and other active matter. Since we generally stay away from the statistical aspects of fluid dynamics, we will also not dive deeply into the turbulent regime and how this brings together classical mechanics and statistical physics.

Content

By the end of this lecture series, you will be able to derive basic hydrodynamic equations and perform the necessary frame transformations. You will understand how these transformations come about and what properties of a fluid give rise to certain flow behaviors. You will have familiarity with rheological analysis and understand how to characterize complex fluids. In addition, you will have become proficient in analytically solving fluid dynamical equations for (certain) complex fluids in simple geometries in the linear regime. You will also be able to solve analytically using Green's functions the behavior of (an)isotropic particles in a Newtonian fluid. Lastly, you will have a basic understanding of how microorganisms self-propel and how this influences their interaction with each other and their environment.

The focus is on analytic approaches, as well as understanding scaling and parameter relevance through dimensional analysis. However, there will also be numerical elements to the course, which help illustrate features of a few flowing systems,~\textit{e.g.}, microswimmers and other active matter. Since we generally stay away from the statistical aspects of fluid dynamics, we will also not dive deeply into the turbulent regime and how this brings together classical mechanics and statistical physics.

Toetsing

Test	Weight	Min. grade
Final result	100

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Non-Equilibrium Physics 2

Beschrijving

Course goals

Content

Toetsing

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