Learn · Fluid Dynamics for Astrophysics

Lecture 26 of 65Week 5

Propagation of sonic information, shock tube problem and piston problem

Prof. Prasad Subramanian · IISER Pune

Credits and licence

From
Fluid Dynamics for Astrophysics, IISER Pune (at NPTEL)
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
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
Teens profiles and older. How courses are placed

All the lectures

  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
  6. Conservation laws: Mass conservation and incomprehensibility Video
  7. Conservation laws: Momentum conservation and Euler equation Video
  8. Conservation laws - Recap Video
  9. Potential flows Video
  10. Bernoulli constant, its applications and voracity equation Video
  11. Recap - Potential flows, Bernoulli constant and its applications Video
  12. Voracity dynamics -- Kelvin's voracity theorem and Magus effect Video
  13. Navier-Stokes equation Video
  14. Navier-Stokes equation (contd.) and energy equation Video
  15. Energy equation in a conservative form Video
  16. Boundary conditions in Navier-Stokes equation, d'Alembert's paradox Video
  17. Poiseuille flow, deriving viscosity from microscopics Video
  18. Dimensionless numbers -- Mach number, Reynolds number Video
  19. DimDimensionless numbers contd -- plasma beta, magnetic Reynolds number, Alfven Mach number, Prandl numberensionless numbers -- Mach number, Reynolds number Video
  20. Reynolds number and dynamic similarity Video
  21. Reynolds number recap, Low Re flows, and drag on a sphere (Stokes law) Video
  22. High Re flows -- turbulent drag law, vortex shedding and drag crisis Video
  23. Lift on a body, introduction to compressible flows Video
  24. Compressible flows -- derivation of sound speed and dispersion relation Video
  25. Subsonic and supersonic flows Video
  26. Propagation of sonic information, shock tube problem and piston problem Video
  27. Criterion for neglect of compressibility, method of characteristics Video
  28. Shock thickness Video
  29. Shock thickness recap, shock jump conditions Video
  30. Shock jump conditions (contd), transonic 1D flows, converging/diverging channels Video
  31. Coverging/diverging channels, de Laval nozzle and its application to astrophysical jets Video
  32. Spherically symmetric transonic flows Video
  33. Spherically symmetric transonic flows (contd) Video
  34. Solar wind : Parker's solution Video
  35. Solar wind : Modifications in Parker's solution Video
  36. Spherical accretion onto a compact object : Eddington luminosity and accretion rate Video
  37. Spherical accretion onto a compact object : Solutions for flow properties Video
  38. Spherical accretion (contd), disk accretion--Roche lobe overflow Video
  39. Disk accretion : Mass conservation and vertical hydrostatic equilibrium Video
  40. Disk accretion : Removal of angular momentum, Shakura-Sunyaev viscosity parameter Video
  41. Disk accretion : Viscous dissipation and the energy equation, two-temperature criterion Video
  42. Particle acceleration in astrophysical settings : Shocks and non-thermal energy distribution Video
  43. Particle acceleration in astrophysical settings : Diffusive shock acceleration Video
  44. Spherical blast waves : Bomb explosion and supernova explosion Video
  45. Spherical blast waves : Sedov-Taylor solution Video
  46. Spherical blast waves : Sedov-Taylor solution (contd.) Video
  47. Magnetohydrodynamics (MHD) : Introduction Video
  48. Magnetohydrodynamics (MHD) : The induction equation Video
  49. Magnetohydrodynamics (MHD) : Currents in MHD, momentum equation and magnetic stress tensor Video
  50. Magnetohydrodynamics (MHD) : Magnetic stresses and magnetic buoyancy Video
  51. Magnetohydrodynamics (MHD) : Plasma beta, force-free fields and potential configurations Video
  52. Magnetohydrodynamics (MHD) : Magnetic flux-freezing Video
  53. Magnetohydrodynamics (MHD) : Magnetic flux-freezing (contd.), magnetic dynamos Video
  54. Magnetohydrodynamics (MHD) : Dynamo theory Video
  55. Magnetohydrodynamics (MHD) : Waves in MHD - Alfven waves Video
  56. Magnetohydrodynamics (MHD) : Waves in MHD - Alfven waves and magnetosonic waves Video
  57. Magnetohydrodynamics (MHD) : Waves in MHD - Magnetosonic waves Video
  58. Magnetohydrodynamics (MHD) : Shocks in MHD Video
  59. Magnetohydrodynamics (MHD) : Shocks in MHD - Shock jump conditions Video
  60. Non-ideal MHD : Introduction to magnetic reconnection Video
  61. Non-ideal MHD : Magnetic reconnection - The Sweet-Parker model Video
  62. Non-ideal MHD : Magnetic reconnection - The Petscheck model Video
  63. Sun's atmosphere : Solar corona and the coronal heating problem Video
  64. Solar eruptions : Coronal Mass Ejections (CMEs) and solar flares Video
  65. Live Session 26-02-2021 Video