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Introduction
Introduction
Vector Fields and Fieldlines
Scalar and Vector Products
Equation of Motion
The Gradient Operator,
The Flux and Divergence of a Vector
Curl
,
, Triple Vector Products
Curl
The Laplacian Operator,
Triple Vector Products
Non-Cartesian Coordinates
Summary of 2D Cartesian Coordinates
2D Cylindrical Polars
3-D Cylindrical Polar Coordinates
General Orthogonal Coordinates
Fluids and Nonmagnetic Plasmas
Continuity Equation
Time derivatives following the motion
Incompressible Flow
The Equation of Motion
The Equation of State
Hydrostatic Liquids and Atmospheres
Rotating Liquids
General Properties of a Uniform Incompressible Flow
Bernoulli's Equation
Potential Flow
Particle Paths
Electromagnetism
Introduction
Maxwell's Equations
Electrostatics
Point Charges
Continuous distribution of charge,
, per unit volume.
Electric Dipoles
Magnetic Fields
Magnetic effects of currents
Summary
Magnetohydrodynamics MHD
Solar Observations
MHD Equations
Effect of
on
MHD Equilibrium Structures
Potential Problems leading to Laplace's Equation
Non-potential current flowing inside a cylindrical magnetic loop
Summary
Potential Problems
Physical Applications
Incompressible, irrotational flow
Electrostatics
Magnetostatics
Boundary Conditions
Uniqueness Theorem
Basics Potential Solutions
Cartesian Coordinates,
Separable Solutions
Analytical Functions of a Complex Variable
Cylindrical Coordinates,
Spherical Coordinates -
Vorticity
Evolution of vorticity
Vorticity in 2D and the Streamfunction
Circulation and point vortices
Vortex pair (opposite circulation)
Vortex pair (equal circulation)
PV near a wall
Vortex pair approaching wall
Lift and drag in 2D
About this document ...
Andrew Wright
2002-09-16
, 
, Triple Vector
Products
, per unit
volume.
on 
