3. A fluid has a density field $p(z) = 1023 - 0.01z$ kg/m³ and a velocity profile $u(z) = 0.2 + 0.01z$ m/s (where z is 0 at the surface, oriented positive upward). Use the Richardson number, $R_i$, to determine whether this fluid is stably stratified or not.
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The buoyancy frequency, N, is given by the formula: N^2 = -(g / ρ) * (dρ / dz) where g is the acceleration due to gravity, ρ is the density, and dz is the change in height. In this case, g is a constant and equal to 9.8 m/s^2. Let's calculate N at the surface Show more…
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