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stream function

In fluid mechanics, a mathematical idea which satisfies identically, and therefore eliminates completely, the equation of mass conservation. If the flow field consists of only two space coordinates, for example, x and y, a single and very useful stream function ψ(x,y) will arise. If there are three space coordinates, such as (x,y,z), multiple stream functions are then needed, and the idea becomes much less useful and is much less widely employed.

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