Code: | AST3014 | Acronym: | AST3014 |
Keywords | |
---|---|
Classification | Keyword |
OFICIAL | Astronomy |
Active? | Yes |
Responsible unit: | Department of Physics and Astronomy |
Course/CS Responsible: | Bachelor in Physics |
Acronym | No. of Students | Study Plan | Curricular Years | Credits UCN | Credits ECTS | Contact hours | Total Time |
---|---|---|---|---|---|---|---|
L:B | 0 | Official Study Plan | 3 | - | 6 | 48 | 162 |
L:CC | 0 | study plan from 2021/22 | 2 | - | 6 | 48 | 162 |
3 | |||||||
L:F | 25 | Official Study Plan | 3 | - | 6 | 48 | 162 |
L:G | 0 | study plan from 2017/18 | 2 | - | 6 | 48 | 162 |
3 | |||||||
L:M | 0 | Official Study Plan | 2 | - | 6 | 48 | 162 |
3 | |||||||
L:Q | 0 | study plan from 2016/17 | 3 | - | 6 | 48 | 162 |
In the first part of the course, we will introduce the fundamental tools and concepts in fluid mechanics and some applications of this theory to physics and astrophysics. In the second part, this approach will be extended to the study of plasmas and particular emphasis on the orbital theory of plasmas and on magnetohydrodynamics (MHD) will be devoted. At the end of the course, some examples of applications of MHD.
Being able to understand a number of phenomena associated with the behaviour of neutral fluids either in the ideal limit or considering the effects of viscosity. Being able to understand the behaviour of plasmas and some of the phenomena associated with them, either at the limit without collisions or in the limit dominated by collisions. Being able to apply magnetohydrodynamics (MHD) to simple cases.
PART 1: FLUIDS
1. Introduction Fluids and plasmas in Physics and Astrophysics
2. Ideal fluid Properties Derivation of macroscopic equations of hydrodynamics. The equation of continuity. The equation of motion - Euler's equation. The energy equation. The condition for absence of convection. The flow of energy and the flow of momentum. Barotropic and incompressible fluids. The conservation of motion. The Kelvin's vorticity theorem. The Bernoulli principle for stationary flows. Hydrostatics. Forces on submerged solid surfaces. Modelling the solar corona. Potential flow. Flow around a cylinder Stream function.
3. Viscous fluids Properties. Tangential stresses in a Newtonian fluid. The Navier-Stokes equations. Energy dissipation in incompressible fluids. Flow between two parallel planes subjects, in a circular tube and between two rotating cylinders. Factors of scale and the Reynolds number. Viscous flows around solid bodies. Boundary layers. Accretion disks in astrophysics: dynamics of accretion disks; stationary solutions.
4. Linear theory of waves and instabilities The philosophy of the analysis of disturbances. Convective instability and internal gravity waves: the Schwarzschild criterion. Surface gravity waves. Disturbances in the separation between two fluids: the Rayleigh-Taylor instability; Kelvin-Helmholtz instability. Jeans instability and the process of star formation.
PART 2: PLASMAS
5. Plasma physics: plasma orbital theory. Orbits of motion of particles in a plasma. Larmor radius and frequency. Effect of a perpendicular force. The gradient and curvature drifts. Magnetic mirrors. Van Allen Belt.
6. Dynamics of multiple charged particles and processes without collisions in plasmas. Approaches used in the theory of plasmas Basic properties of plasmas. Different types of plasma. Electrical neutrality in a plasma. Shielding and the Debye length. The plasma parameter. Oscillations in plasmas. The plasma frequency. Electromagnetic waves in cold and warm plasmas.
6. Magnetohydrodynamics (MHD): Fundamental equations. The plasma equations. The equation of induction and its consequences. Soluções of magnetohydrostatics. Force-free and potential fields.
Expository methods in theoretical lectures (T). In theoretical-practical classes (TP) resolution of exercises by the students.
designation | Weight (%) |
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Exame | 100,00 |
Total: | 100,00 |
designation | Time (hours) |
---|---|
Estudo autónomo | 106,00 |
Frequência das aulas | 56,00 |
Total: | 162,00 |
The student has frequency to the course if he/she misses no more than 1/4 of the planned theoretical-practical classes (TP's).
Final Mark = Exam Mark
The students with a special status, namely working-students will be subject to an evaluation equal to the remaining students.
Following the regulations of FCUP, the student that has passed this curricular unit, can improve grades one single time. Either in the appeal season of the academic year in which he passed or in the following academic year (not only in the appeal season).
Jury of the curricular unit:
João Lima
Carla Rosa