Math Courses
Hydrodynamics models for superfluid helium turbulence
by
→
Europe/Rome
Ex-ISEF/Building-Main Lecture Hall (GSSI)
Ex-ISEF/Building-Main Lecture Hall
GSSI
20
Description
Lecturer: Prof. Luca Galantucci (CNR-IAC)
Title: Hydrodynamics models for superfluid helium turbulence
Syllabus:
- Introduction (1 h). Peculiarities of superfluid helium flows: superfluidity; heat transfers properties; elements of Landau two-fluid model; length scales and temperature range.
- Gross-Pitaevskii model at zero temperature (3 h). Gross-Pitaevskii (GP) model of condensates in the T=0 limit and fluid dynamics equivalent formulation (Madelung transformation); dispersion relation and sound waves, GP only qualitative model for helium; quantum vortices; generation of quantum vortices (rotation and lasers); quantum vortex reconnections; 2D manipulation of vortices; classical complex potential formulation of vortex dynamics and recent experiments;
- Two-Fluid model equations (2 h). Derivation. Mutual friction force.
- Vortex Filament Method, VFM (2 h). Schwarz's model; Local Induction approximation (LIA); Hall-Vinen's models mutual friction for VFM; Kinematic and self-consistent models.
- Classical Hydrodynamic model of mutual friction (1 h). Derivation; induced flow patterns, superfluid vortex equation of motion.
- Quantum Turbulence: Classical and Quantum characteristics (1 h). Quasi-classical quantum turbulence; counterflow turbulence; Energy spectra, energy decay.
- Recent advances in Quantum Turbulence (2 h). Statistical properties of counterflow turbulence; superfluid as active fluid?; inertial particle dynamics: from experiments to numerical simulations.
Schedule of the course:
- April 22, 11am - 1pm, MLH;
- April 23, 11am - 1pm, MLH;
- April 24, 11am - 1pm, Room B;
- May 2, 11am - 1pm, MLH;
- May 2, 3pm - 5pm, MLH;
- May 3, 11am, 1pm.
It is also possible to attend the lectures online. We ask the interested people to register to this event, a zoom link will be sent right before the beginning of the lectures.
For any enquiries please write to: apde_aq@gssi.it
Registration
Participants
