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Across Channel Momentum Balance

Explore the concept of geostrophic balance in the upper and lower layers of the ocean, focusing on the impact of Earth's rotation and Margules' relation. Learn how to determine pressure fields based on salinity and density variations, with practical examples and calculations provided.

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Across Channel Momentum Balance

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  1. h1 z LNM h2 y Across Channel Momentum Balance Geostrophic balance (frictionless, steady and linear motion) in the lower layer

  2. h h1 LNM h2 z y Geostrophic Balance in the upper layer Geostrophic Balance in the lower layer:

  3. h h1 LNM h2 z y How about ? With one can determine Margules’ Relation

  4. Effects of the Earth’s Rotation

  5. Observed slope: 2m in 10 km 2 / 104 = 2 x 10-4 f = 8.8e-5 u1 = 0.08 u2 = -0.025 rho1 = 1020 rho2 = 1024

  6. Could you draw the pressure field (isobars) associated with these salinity (density) fields? u1 = 0.10 m/s u2 = -0.05 m/s ρ1 = 1017 kg/m3 ρ2 = 1022 kg/m3 f = 8.8 e-5 s-1 Observed = 2 m in 8 km = 2.5 x 10-4 u1 = 0.08 m/s u2 = -0.06 m/s ρ1 = 1021 kg/m3 ρ2 = 1023 kg/m3 f = 8.8 e-5 s-1 Observed = 7 m in 8 km = 8.8 x 10-4

  7. L Generally, the outflow modified by rotation will be restricted by the internal radius of deformation R, derived from geostrophy: Scaling: Internal Radius of Deformation or Internal Rossby Radius

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