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@wikipedia


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Given velocity vector  {\vec {u}}=(u,v,w) the streamilnes are defined as curves  {\vec {r}}_s(t) = \big( \, x(s), \, y(s), \, z(s) \, \big) parametrized vy parameter  s:

{dx_{S} \over u} ={dy_{S} \over v}={dz_{S} \over w}
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