Course Contents:
Flows of Newtonian liquids are described by the continuity and Navier-Stokes equations, Bernoulli equations or Archimedes law. However, the description of small scale flows is influenced by the additional physics. At the gates to micro- and nano-liquid flows stay interfacial and other forces caused by intermolecular interactions. In this course we will study the nature of surface tension and wettability, their effect on the liquid flow in drops, films and jets, as well as their instability, which in some cases leads to the liquid breakup and atomization. On the examples of the most beautiful solutions, we will study how to theoretically treat the problems in which the interfacial forces are significant.
The topics to study are:
Surface Tension
Geometry and kinematics of 3D surfaces
Landau-Levich problem
Wetting phenomena
Capillary waves
Breakup
Drop oscillation
Free liquid films
Drop impact
Marangoni convection
Preconditions:
completed undergraduate course on Introduction to Fluid Mechanics
Expected Number of Participants:
10 - 15
Further Grading Information:
Examination:
The examination is oral in the form of seminar, which includes presentation and discussion of a paper, published in a top physical journals. The papers for presentations are distributed by the lecturer.
Additional Information:
On successful completion of this module, students should be able to
- Identify basic interfacial phenomena which influence various engineering problems
- Solve hydrodynamic problems with capillary flows in drops, films, and jets
- Evaluate and present modern scientific publications in the field of hydrodynamics of capillary flows
Online Offerings:
Moodle
The recorded lectures and the scripts to all the lectures are provided to the students on the Moodle site
- Lehrende: Ilia Roisman