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

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<strong>Molecular</strong> <strong>diffusion</strong>….Re = Reynolds number = <strong>in</strong>ertial/viscous = UL/υLam<strong>in</strong>ar flows: low ReTurbulent flows: high ReExperimentally, it has been found that <strong>the</strong> transitionbetween <strong>the</strong>se states occurs around Re ~ 3000.[ 2000 – 4000 ]Re ~ UL/υ ≤ 3000 → L ≤ (3000υ)/U = (3000)(0.01)/3L ≤ 10 cmcm 2 /secOn scales of a few centimeters or less, <strong>the</strong> flow is lam<strong>in</strong>ar,with property gradients smoo<strong>the</strong>d by molecular <strong>diffusion</strong>.On larger scales, <strong>the</strong> flow is turbulent, with propertygradients smoo<strong>the</strong>d by eddy <strong>diffusion</strong>.cm/sec

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