Maps in Three Dimensions Academic Article uri icon


  • It has been the central goal of hydrodynamics for more than a century to predict the velocity field, u, of fluid flows in various geometries. The purpose of the present work is to investigate the relations between given velocity fields and the corresponding trajectorics of marker particles (passive scalars) suspended in the fluid. This problem is important in the theory of mixing of fluids which in turn has a fundamental role in fields like combustion and chemical reactions. Understanding the behavior of marker particles is also crucial in evaluating the outcome of flow visualization experiments. It is commonly accepted that the role of markers in flow visualization techniques is to revcal, via their motion, the properties of the velocity ficló. Therefore, they should be small enough such as to induce only negligible perturbations in the values of u. Moreover, the motion of markers and the velocity field should ideally be …

publication date

  • December 6, 2012