*)N.B. if there are students who do not speak Portuguese the language is English.
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.
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.
Intermediate knowledge of Electromagnetism
Generic skills to reach
. Competence in analysis and synthesis; . Competence in information management; . Competence to solve problems; . Competence in applying theoretical knowledge in practice; . Competence in organization and planning; . Competence in oral and written communication; . Competence for working in group; . Critical thinking; . Competence in autonomous learning; (by decreasing order of importance)
Teaching hours per semester
total of teaching hours
Sseminar or study visit
Laboratory or field work
Synthesis work thesis
Bibliography of reference
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
Expository teaching with constant references to physical systems whose description fits the equations presented. Systems will be modelled using computational tools.