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natural coordinates

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natural coordinates [′nach·rəl kō′ȯrd·ən·əts]
(fluid mechanics)
An orthogonal, or mutually perpendicular, system of curvilinear coordinates for the description of fluid motion, consisting of an axisttangent to the instantaneous velocity vector and an axisnnormal to this velocity vector to the left in the horizontal plane, to which a vertically directed axiszmay be added for the description of three-dimensional flow; such a coordinate system often permits a concise formulation of atmospheric dynamical problems, especially in the Lagrangian system of hydrodynamics.


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We now convert equation 11 from an integral over x-y to an integral in terms of the natural coordinates [xi]-[eta].
 
 
 
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