Given velocity vector

LaTeX Math Inline

body	{\vec {u}}=(u,v,w)

the streamlines are defined as curves

LaTeX Math Inline

body	{\vec {r}}_s(t) = \big( \, x(s), \, y(s), \, z(s) \, \big)

parametrized by parameter

LaTeX Math Inline

body	s

:

LaTeX Math Block

alignment	left

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

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