phys O ocean dynamics 1

# phys O ocean dynamics 1 - Continuity Coordinate System...

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Unformatted text preview: Continuity Coordinate System Positive: East North Up Negative: West South Down o When subtracting two numbers: subtract the closest to the origin from the farthest (far-close) Continuity o How the oceans conserve mass o For any location: mass in = mass out o "per unit volume" means M/vol = ρ : so we are really following density o Fluid conserves mass by adjusting its flow (velocity) o Continuity in one direction: • Flow through a tube: mass in = mass out time time ρ₁ V ₁ = ρ₂ V ₂ t t -> ρ won't change so: ρ A u = ₁ ₁ ρ A u ₂ ₂ • To conserve mass, the E-W velocity adjusts (changes) in the E-W direction Mathematically this is du/dx or (u - u )/(x -x ) ₂ ₁ ₂ ₁ o Continuity in two directions: If u = 5 m/s and u = 2 m/s what are possible values for v and ₁ ₂ ₁ v ? ₂ All sides of the box are 10m. du/dx= -3, so dv/dy needs to = 3. Possible answers: v = 5m/s and v = 8m/s (8-5= 3)-> ₁ ₂ flow in + direction v = -5m/s and v = -2m/s (-2 -...
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phys O ocean dynamics 1 - Continuity Coordinate System...

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