Mixing and stirring in the oceanâ¦. The diffusion equation Molecular ...

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The diffusion equation….The complete diffusion equation becomes∂C∂t= −∇ ⋅ ( F + F ) = −∇ ⋅ ( uC)+ κ∇CA D or∂ C +∇⋅ ( uC)= κ ∇∂t2C2
The diffusion equation….Assuming that the fluid is incompressible,∇⋅ ( uC) = C∇⋅ u+ ( u⋅∇ ) C = ( u⋅∇)C ∂C ∂C ∂C= u + v + w∂x ∂y ∂zSo the diffusion equation becomesdCdt2= κ∇ C + sources & sinks
Page 1 and 2: OCEANOGRAPHY 510Mixing and stirring
Page 3 and 4: The diffusion equation….δzF x1F
Page 5 and 6: The diffusion equation….1 ∂M
Page 10 and 11: Molecular diffusion….Laminar moti
Page 12 and 13: Example: molecular diffusion associ
Page 14 and 15: Molecular diffusion….2 2L L τTκ
Page 16 and 17: Fingering on an interface (from Tur
Page 18 and 19: (iii) Cold, fresh water overlying w
Page 20 and 21: Turbulent diffusion….Eddy diffusi
Page 22 and 23: Turbulent diffusion….The full tim
Page 24 and 25: Turbulent diffusion….z/zoS D D oT
Page 26 and 27: Turbulent diffusion….Vertical pro
Page 28 and 29: Turbulent diffusion….Simple advec
Page 30 and 31: Turbulent diffusion….Float disper
Page 32 and 33: AuWiEddy kineticenergy by seasonat
Page 34 and 35: [units: ergs/g][ (cm/sec) 2 ]Eddy k
Page 36 and 37: Transient tracers and mixing….Tra
Page 38 and 39: Oxygen in the ocean….Dissolved ox
Page 40: Boundary conditions: C=C 1 at z=z 1

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Mixing and stirring in the oceanâ¦. The diffusion equation Molecular ...