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Dynamical Oceanography. Part I:
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Kinematics of Fluids
Scalars, vectors and tensors
Vector and indicial notation
Gradient of a scalar field
Divergence of a vector field
Curl of a vector field
The Lagrangian and Eulerian descriptions of motion
Methods of representation of a vector field
Acceleration: Lagrangian description
Acceleration: Eulerian description
The basic kinematic modes of a fluid
Vorticity
Circulation
Stokes' theorem
Vorticity in polar coordinates
Computation of vorticity and circulation
Deformation
Divergence
Deformation in two dimensions
Kinematic classification of fluid motion
Streamfunction for two-dimensional flow
Velocity potential
Laplacian flow
Conformal mapping
Kinematic boundary condition
Application of the boundary condition for Laplacian flow adjacent to a solid cylinder
Kelvin's theorem of minimum kinetic energy
Addition of velocity potentials
Next:
Scalarsvectors and tensors
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Dynamical Oceanography. Part I:
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Steve Baum
Mon Dec 1 08:50:29 CST 1997
