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NPTEL

Fluid Dynamics for Astrophysics

NPTEL and Indian Institute of Science Education and Research, Pune via YouTube

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.

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NPTEL-NOC IITM

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