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Course11510612465 lectures

Fluid Dynamics for Astrophysics

Prof. Prasad Subramanian · IISER Pune

Start with lecture 1 At NPTEL

Lectures

Week 1

  1. Introduction to the course Video
  2. Continuum hypothesis, distribution function and stress-viscosity relation Video
  3. Continuum hypothesis, distribution function and stress-viscosity relation - Recap Video
  4. Fluid Kinematics Video
  5. Fluid Kinematics - Recap Video

Week 2

  1. Conservation laws: Mass conservation and incomprehensibility Video
  2. Conservation laws: Momentum conservation and Euler equation Video
  3. Conservation laws - Recap Video
  4. Potential flows Video
  5. Bernoulli constant, its applications and voracity equation Video

Week 3

  1. Recap - Potential flows, Bernoulli constant and its applications Video
  2. Voracity dynamics -- Kelvin's voracity theorem and Magus effect Video
  3. Navier-Stokes equation Video
  4. Navier-Stokes equation (contd.) and energy equation Video
  5. Energy equation in a conservative form Video
  6. Boundary conditions in Navier-Stokes equation, d'Alembert's paradox Video
  7. Poiseuille flow, deriving viscosity from microscopics Video

Week 4

  1. Dimensionless numbers -- Mach number, Reynolds number Video
  2. DimDimensionless numbers contd -- plasma beta, magnetic Reynolds number, Alfven Mach number, Prandl numberensionless numbers -- Mach number, Reynolds number Video
  3. Reynolds number and dynamic similarity Video
  4. Reynolds number recap, Low Re flows, and drag on a sphere (Stokes law) Video
  5. High Re flows -- turbulent drag law, vortex shedding and drag crisis Video

Week 5

  1. Lift on a body, introduction to compressible flows Video
  2. Compressible flows -- derivation of sound speed and dispersion relation Video
  3. Subsonic and supersonic flows Video
  4. Propagation of sonic information, shock tube problem and piston problem Video
  5. Criterion for neglect of compressibility, method of characteristics Video

Week 6

  1. Shock thickness Video
  2. Shock thickness recap, shock jump conditions Video
  3. Shock jump conditions (contd), transonic 1D flows, converging/diverging channels Video
  4. Coverging/diverging channels, de Laval nozzle and its application to astrophysical jets Video
  5. Spherically symmetric transonic flows Video
  6. Spherically symmetric transonic flows (contd) Video

Week 7

  1. Solar wind : Parker's solution Video
  2. Solar wind : Modifications in Parker's solution Video
  3. Spherical accretion onto a compact object : Eddington luminosity and accretion rate Video
  4. Spherical accretion onto a compact object : Solutions for flow properties Video
  5. Spherical accretion (contd), disk accretion--Roche lobe overflow Video

Week 8

  1. Disk accretion : Mass conservation and vertical hydrostatic equilibrium Video
  2. Disk accretion : Removal of angular momentum, Shakura-Sunyaev viscosity parameter Video
  3. Disk accretion : Viscous dissipation and the energy equation, two-temperature criterion Video
  4. Particle acceleration in astrophysical settings : Shocks and non-thermal energy distribution Video
  5. Particle acceleration in astrophysical settings : Diffusive shock acceleration Video

Week 9

  1. Spherical blast waves : Bomb explosion and supernova explosion Video
  2. Spherical blast waves : Sedov-Taylor solution Video
  3. Spherical blast waves : Sedov-Taylor solution (contd.) Video
  4. Magnetohydrodynamics (MHD) : Introduction Video
  5. Magnetohydrodynamics (MHD) : The induction equation Video

Week 10

  1. Magnetohydrodynamics (MHD) : Currents in MHD, momentum equation and magnetic stress tensor Video
  2. Magnetohydrodynamics (MHD) : Magnetic stresses and magnetic buoyancy Video
  3. Magnetohydrodynamics (MHD) : Plasma beta, force-free fields and potential configurations Video
  4. Magnetohydrodynamics (MHD) : Magnetic flux-freezing Video
  5. Magnetohydrodynamics (MHD) : Magnetic flux-freezing (contd.), magnetic dynamos Video
  6. Magnetohydrodynamics (MHD) : Dynamo theory Video

Week 11

  1. Magnetohydrodynamics (MHD) : Waves in MHD - Alfven waves Video
  2. Magnetohydrodynamics (MHD) : Waves in MHD - Alfven waves and magnetosonic waves Video
  3. Magnetohydrodynamics (MHD) : Waves in MHD - Magnetosonic waves Video
  4. Magnetohydrodynamics (MHD) : Shocks in MHD Video
  5. Magnetohydrodynamics (MHD) : Shocks in MHD - Shock jump conditions Video

Week 12

  1. Non-ideal MHD : Introduction to magnetic reconnection Video
  2. Non-ideal MHD : Magnetic reconnection - The Sweet-Parker model Video
  3. Non-ideal MHD : Magnetic reconnection - The Petscheck model Video
  4. Sun's atmosphere : Solar corona and the coronal heating problem Video
  5. Solar eruptions : Coronal Mass Ejections (CMEs) and solar flares Video

Live Session

  1. Live Session 26-02-2021 Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IISER Pune
Department
Physics
Teacher
Prof. Prasad Subramanian
Level
Undergraduate
Language
English
Subjects
Physics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge. Coordinated by IIT Madras.
Who can watch
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