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Mixing and stirring in the ocean…. The diffusion equation Molecular ...

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<strong>Molecular</strong> <strong>diffusion</strong>….Lam<strong>in</strong>ar motion: smooth <strong>and</strong> direct flow,weak <strong>in</strong>ertia, relatively viscousTurbulent motion: confused flow, <strong>in</strong>direct,strong <strong>in</strong>ertia, relatively <strong>in</strong>viscidLam<strong>in</strong>ar motion:molecular <strong>diffusion</strong>Diffusivities are known.(see tables)κ T = 10 -3 cm 2 /secκ s = 10 -5 cm 2 /secκ u = 10 -2 cm 2 /sec ≡ νA measure of <strong>the</strong> relative size of viscous <strong>and</strong> <strong>in</strong>ertialforces is <strong>the</strong> Reynolds number (Re), given byRe<strong>in</strong>ertial forcesviscous forces2⋅∇ ⎛U⎞ ⎛υU⎞ 2 ⎜ ⎟ ⎜ 2 ⎟u u UL= =υ∇ u ⎝ L ⎠ ⎝ L ⎠ υ

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