Course Info and Brief Syllabus
Lecture Notes:
Full Lecture Notes in one File
Lecture 1 Basic relation between fluids and plasmas, derivation of collisionless Boltzmann equation
Lecture 2 Invariants, Derivation of Collisonal Boltzmann Equation, Maxwellian distribution as steady state, moment equations
Lecture 3 Moment equations, derivation of fluid equations for viscous flow with thermal conductivity, derivation of transport coefficients.
Lecture 4: Vorticity, Incompressible flow, Hydrostatic equilibrium Solar Corona, Bernoullis principle
Lecture 5: Robust proof of Kelvin Circulation Theorem/Magnetic Flux Freezing, Relation between MHD and Fluids, Viscous Flow
Lecture 5a: Discussion of physical difference between viscosity and magnetic diffusivity
Curveball in Rarefied Atmosphere (technical paper)
Discussion of Curves (= "Swings") in Cricket also from NASA
Lecture 6: Importance of Reynolds Number, Onset of Turbulence, and Drag Forces
Lecture 7: Compressibility, Sound Waves, Shocks
Lecture 8: More on Shocks, Supernovae as an example, Justifying the Shock Thickness, Regimes of Blast Wave Evolution
Lecture 9: Instabilities: Convection and Buoyancy, Schwarzchild Criterion, Brunt-Vaisala Frequency
Lecture 10: Turbulence: basic concepts, energy spectrum Kolmogorov theory, Turbulent diffusion
Lecture 11: Turbulent diffusion continued
Lecture 12: Introduction to Accretion: Accretion in a binary system, circularization radius, need for mechanism of angular momemtum transport
Lecture 13: Derivation of Viscous Torque in Accretion Disks; parameterizing the viscosity
Lecture 14: More on accretion: Accretion speed as diffusion, hydrostatic equilibrium
Lecture 15: Still more accretion: Steady Accretion Disks, Luminosity and Spectrum
Lecture 16: Hydrodynamics and Rotating Flows: Geostrophic flows, Rossby Number Still more accretion: Steady Accretion Disks, Luminosity and Spectrum
Lecture 17: MHD I: Derivation of Ohm's Law from Two-fluid Equations; Derivation of the Jx B force in the Momentum equation for MHD; Derivation of the Magnetic Induction Equation
Lecture 18: MHD II: Physical interptatoin of J x B force: pressure vs. tension; Flux freezing; Magnetostatics and confinement of "jet" by magnetic forces
Lecture 19: MHD III: Physical description of stability of magnetic structures; magnetic buoyancy; Graphical description of solar cycle dynamo; Ferarros law of isoration and role of fields in angular momentum transport