COURSE OUTLINE: This course provides a broad overview of fluid phenomena in Astrophysics. The first few weeks cover the basics of fluid dynamics, with an emphasis on compressible phenomena. These basic concepts will be applied in understanding astrophysical phenomena ranging from the solar wind to black hole accretion disks. Magnetic fields are often important in astrophysical situations - we therefore treat the basics of magnetohydrodynamics and use it to understand astrophysical dynamos and jets. Students of this course will be equipped with the basics needed for understanding the research literature in several areas in astrophysics.
Fluid Dynamics for Astrophysics
NPTEL and Indian Institute of Science Education and Research, Pune via YouTube
Overview
Syllabus
Fluid Dynamics for Astrophysics.
mod01lec01 - Introduction to the course.
mod01lec02 - Continuum hypothesis, distribution function and stress-viscosity relation.
mod01lec03 - Continuum hypothesis, distribution function and stress-viscosity relation - Recap.
mod01lec04 - Fluid Kinematics.
mod01lec05 - Fluid Kinematics - Recap.
mod02lec06 - Conservation laws: Mass conservation and incomprehensibility.
mod02lec07 - Conservation laws: Momentum conservation and Euler equation.
mod02lec08 - Conservation laws - Recap.
mod02lec09 - Potential flows.
mod02lec10 - Bernoulli constant, its applications and voracity equation.
mod03lec11 - Recap - Potential flows, Bernoulli constant and its applications.
mod03lec12 - Voracity dynamics -- Kelvin's voracity theorem and Magus effect.
mod03lec13 - Navier-Stokes equation.
mod03lec14 - Navier-Stokes equation (contd.) and energy equation.
mod03lec15 - Energy equation in a conservative form.
mod03lec16 - Boundary conditions in Navier-Stokes equation, d'Alembert's paradox.
mod03lec17 - Poiseuille flow, deriving viscosity from microscopics.
mod04lec18 - Dimensionless numbers -- Mach number, Reynolds number.
mod04lec19 - Dimensionless numbers.
mod04lec20 - Reynolds number and dynamic similarity.
mod04lec21 - Reynolds number recap, Low Re flows, and drag on a sphere (Stokes law).
mod04lec22 - High Re flows -- turbulent drag law, vortex shedding and drag crisis.
mod05lec23 - Lift on a body, introduction to compressible flows.
mod05lec24 - Compressible flows -- derivation of sound speed and dispersion relation.
mod05lec25 - Subsonic and supersonic flows.
mod05lec26 - Propagation of sonic information, shock tube problem and piston problem.
mod05lec27 - Criterion for neglect of compressibility, method of characteristics.
mod06lec28 - Shock thickness.
mod06lec29 - Shock thickness recap, shock jump conditions.
mod06lec30 - Shock jump conditions (contd), transonic 1D flows, converging/diverging channels.
mod06lec31 - Coverging/diverging channels, de Laval nozzle and its application to astrophysical jets.
mod06lec32 - Spherically symmetric transonic flows.
mod06lec33 - Spherically symmetric transonic flows (contd).
mod07lec34 - Solar wind : Parker's solution.
mod07lec35 - Solar wind : Modifications in Parker's solution.
mod07lec36 - Spherical accretion onto a compact object : Eddington luminosity and accretion rate.
mod07lec37 - Spherical accretion onto a compact object : Solutions for flow properties.
mod07lec38 - Spherical accretion (contd), disk accretion--Roche lobe overflow.
mod08lec39 - Disk accretion : Mass conservation and vertical hydrostatic equilibrium.
mod08lec40 - Disk accretion : Removal of angular momentum, Shakura-Sunyaev viscosity parameter.
mod08lec41 - Disk accretion : Viscous dissipation and the energy equation, two-temperature criterion.
mod08lec42 -Particle acceleration in astrophysical settings:Shocks & non-thermal energy distribution.
mod08lec43 - Particle acceleration in astrophysical settings : Diffusive shock acceleration.
mod09lec44 - Spherical blast waves : Bomb explosion and supernova explosion.
mod09lec45 - Spherical blast waves : Sedov -Taylor solution.
mod09lec46 - Spherical blast waves : Sedov - Taylor solution (contd.).
mod09lec47 - Magnetohydrodynamics (MHD) : Introduction.
mod09lec48 - Magnetohydrodynamics (MHD) : The induction equation.
mod10lec49 - Magnetohydrodynamics(MHD):Currents in MHD, momentum equation and magnetic stress tensor.
mod10lec50 - Magnetohydrodynamics (MHD) : Magnetic stresses and magnetic buoyancy.
mod10lec51 - Magnetohydrodynamics (MHD): Plasma beta, force-free fields and potential configurations.
mod10lec52 - Magnetohydrodynamics (MHD) : Magnetic flux-freezing.
mod10lec53 - Magnetohydrodynamics (MHD) : Magnetic flux-freezing (contd.), magnetic dynamos.
mod10lec54 - Magnetohydrodynamics (MHD) : Dynamo theory.
mod11lec55 - Magnetohydrodynamics (MHD) : Waves in MHD - Alfven waves.
mod11lec56 - Magnetohydrodynamics (MHD) : Waves in MHD - Alfven waves and magnetosonic waves.
mod11lec57 - Magnetohydrodynamics (MHD) : Waves in MHD - Magnetosonic waves.
mod11lec58 - Magnetohydrodynamics (MHD) : Shocks in MHD.
mod11lec59 - Magnetohydrodynamics (MHD) : Shocks in MHD - Shock jump conditions.
mod12lec60 - Non-ideal MHD : Introduction to magnetic reconnection.
mod12lec61 - Non-ideal MHD : Magnetic reconnection - The Sweet-Parker model.
mod12lec62 - Non-ideal MHD : Magnetic reconnection - The Petscheck model.
mod12lec63 - Sun's atmosphere : Solar corona and the coronal heating problem.
mod12lec64 - Solar eruptions : Coronal Mass Ejections (CMEs) and solar flares.
Taught by
NPTEL-NOC IITM
