lect_13 - Balanced Flow The pressure and velocity...

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Balanced Flow The pressure and velocity distributions in atmospheric systems are related by relatively simple, approximate force balances. We can gain a qualitative understanding by considering steady-state conditions , in which the fluid flow does not vary with time, and by assuming there are no vertical motions. To explore these balanced flow conditions, it is useful to define a new coordinate system, known as natural coordinates. Natural Coordinates Natural coordinates are defined by a set of mutually orthogonal unit vectors whose orientation depends on the direction of the flow. t ˆ n ˆ k ˆ t ˆ n ˆ k ˆ t ˆ n ˆ k ˆ t ˆ n ˆ k ˆ Unit vector points along the direction of the flow. Unit vector is perpendicular to the flow, with positive to the left. Unit vector points upward. t ˆ n ˆ k ˆ
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