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| | | #REDIRECT: [[Streamline]] |
| #REDIRECT [[streamline]] | |
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| <div class="termentry">
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| == streamline ==
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| <div class="definition"><div class="short_definition">A line with its tangent at any point in a fluid parallel to the instantaneous [[velocity]] of the fluid at that point.</div><br/> <div class="paragraph">The differential equations of the streamline may be written ''d'''''r''' × '''v''' = 0, where ''d'''''r''' is an element of the streamline and '''v''' the [[velocity]] vector; or in [[Cartesian coordinates]], ''dx''/u = ''dy''/''v'' = ''dz''/ ''w'', where ''u'', ''v'', and ''w'' are the fluid velocities along the [[orthogonal]] ''x'', ''y'', and ''z'' axes, respectively. In steady-state flow the streamlines coincide with the trajectories of the fluid [[particles]]; otherwise, the streamline pattern changes with time. A two-dimensional wind-vector [[field]] may be completely specified by streamlines and [[isotachs]]. <br/>''See'' [[free streamline]]; <br/>''compare'' [[trajectory]].</div><br/> </div>
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| [[Category:Terms_S]]
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