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Mathematics, 16.12.2021 14:30 perlar0704

The baroclinity of a fluid with density ρ(x, y, z) is given by 1 ρ 2 (∇ρ × ∇p). It measures the misalignment between level surfaces of the density and pressure fields. Show that if λ(x, y, z) = f(ρ(x, y, z), p(x, y, z)) for some function f, then 1 ρ 3 ∇λ · (∇ρ × ∇p) = 0.

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The baroclinity of a fluid with density ρ(x, y, z) is given by 1 ρ 2 (∇ρ × ∇p). It measures the misa...
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