Conservation of momentum

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Presentation transcript:

Conservation of momentum also known as: Cauchy’s equation 4 equations, 12 unknowns; need to relate flow field and stress tensor Relation between stress and strain rate Navier-Stokes Equation(s)

Boundary Conditions Determine the actual solution For example, for a simplified form of: z = 0 at the surface; positive upward

We can specify KINEMATIC and DYNAMIC boundary conditions

KINEMATIC boundary conditions The boundary must remain a material surface for the two media limited by the boundary velocity normal to the surface is the rate at which the boundary moves for the ocean’s surface if boundary is rigid – no flux across boundary

DYNAMIC boundary conditions no slip free slip Quadratic stress linear stress