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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 = : 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 V = V t t -> won't change so: A u = A u To conserve mass, the E-W velocity adjusts (changes) in the E-W direction Mathematically this is du/dx or (u - u )/(x -x ) o Continuity in two directions: If u = 5 m/s and u = 2 m/s what are possible values for v and v ? 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)-> flow in + direction v = -5m/s and v = -2m/s (-2 -...
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- Spring '08