**Suggested Book Problems:
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Chapter 4: 4.1, 4.2, 4.7
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Chapter 5: 5.1, 5.2 (this is called Taylor-Couette flow), 5.4
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Chapter 6: 6.3, 6.5
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**Lecture Notes:
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Lecture 1 Basic relation between fluids and plasmas, derivation of collisionless Boltzmann equation
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Lecture 2 Invariants, Derivation of Collisonal Boltzmann Equation, Maxwellian distribution as steady state, moment equations
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Lecture 3 Moment equations, derivation of fluid equations for viscous flow
with thermal conductivity, derivation of transport coefficients.
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Lecture 4:
Vorticity, Incompressible flow, Hydrostatic equilibrium
Solar Corona, Bernoullis principle
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Lecture 5:
Robust proof of Kelvin Circulation Theorem/Magnetic Flux Freezing, Relation between MHD and Fluids, Viscous Flow
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Lecture 5a:
Discussion of physical difference between viscosity and magnetic diffusivity
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Curveball in Rarefied Atmosphere (technical paper)
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Discussion of Curves (= "Swings") in Cricket also from NASA
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Lecture 6:
Importance of Reynolds Number, Onset of Turbulence, and Drag Forces
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Lecture 7:
Compressibility, Sound Waves, Shocks
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Lecture 8:
More on Shocks, Supernovae as an example, Justifying the Shock
Thickness, Regimes of Blast Wave Evolution
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Lecture 9:
Instabilities: Convection and Buoyancy, Schwarzchild Criterion, Brunt-Vaisala Frequency
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Lecture 10:
Turbulence: basic concepts, energy spectrum Kolmogorov theory, Turbulent diffusion
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Lecture 11:
Turbulent diffusion continued
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Lecture 12:
Introduction to Accretion: Accretion in a binary system, circularization radius, need for mechanism of angular momemtum transport
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Lecture 13:
Derivation of Viscous Torque in Accretion Disks; parameterizing the viscosity
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Lecture 14:
More on accretion: Accretion speed as diffusion, hydrostatic equilibrium
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Lecture 15:
Still more accretion: Steady Accretion Disks, Luminosity and Spectrum
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Lecture 16:
Hydrodynamics and Rotating Flows: Geostrophic flows, Rossby Number
Still more accretion: Steady Accretion Disks, Luminosity and Spectrum
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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
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Lecture 18:
MHD II: Physical interptatoin of J x B force:
pressure vs. tension; Flux freezing; Magnetostatics and confinement of
"jet" by magnetic forces
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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
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