Fluid Dynamics and Magnetohydrodynamics

Year
1
Academic year
2023-2024
Code
02003221
Subject Area
Physics
Language of Instruction
Portuguese
Other Languages of Instruction
English
Mode of Delivery
Face-to-face
Duration
SEMESTRIAL
ECTS Credits
6.0
Type
Elective
Level
2nd Cycle Studies - Mestrado

Recommended Prerequisites

Intermediate knowledge of Electromagnetism.

Teaching Methods

Expository teaching with constant references to physical systems whose description fits the equations presented. Systems will be modelled using computational tools.

Learning Outcomes

Understanding the basic concepts and the equations of flow of viscous fluids.
Understanding the electromagnetic induction mechanism which has its origin in the movement of fluids that are good electrical conductors.

Ability to translate a magnetic hydrodynamic problem in an appropriate mathematical form.
Ability to interpret the solutions of the equations established in physical terms.

Skills in analysis and synthesis; the application of knowledge and problem solving; critical thinking and independent learning.

Work Placement(s)

No

Syllabus

Revision of basic concepts in fluid dynamics.
Solution of the Navier-Stokes equation in different geometries;  limit layers theory.
Magnetohydrodynamics approximation and the induction equations.
Lorentz force in the Navier-Stokes equation; magneto-hydrostatic equilibrium.
Stationary solutions; Hartmann flow.
Linearisation of the motion equations: Alfven waves and torsion waves.
Applications; dynamo mechanism; geophysical and astrophysical applications.

Assessment Methods

Assessment 1
Synthesis work: 30.0%
Mini Tests: 70.0%

Assessment 2
Synthesis work: 30.0%
Exam: 70.0%

Bibliography

L D Landau, E M Lifshitz, Fluid Mechanics, Pergamon Press, 1987 ISBN: 0750627670

P K Kundu, I M Cohen, Fluid Mechanics, Academic Press, 2012, ISBN: 0123821002

G K Batchelor, An Introduction to Fluid Mechanics, Cambridge University Press 2000, ISBN: 0521663962

L D Landau, E M Lifshitz, Electrodynamics of Continuous Media, Pergamon Press 1984,  ISBN: 0750626348

P A Davidson, An Introduction to Magnetohydrodynamics, Cambridge University Press, 2001 ISBN: 0521794870

D D Schnack, Lectures in Magnetohydrodynamics: with an appendix on extended MHD, Springer 2009, ISBN: 3642006876

J. P. Freidberg, Ideal MHD, Cambridge University Press 2014, ISBN: 9781107006256