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Mangler Transformation : ウィキペディア英語版
Mangler Transformation
Mangler transformation, also known as Mangler-Stepanov transformation (Stepanov 1947, Mangler 1948, Schlichting 1955),
reduces the axisymmetric boundary layer equations to the plane boundary layer equations.
The transformation transforms the equations of axisymmetric boundary layer with external velocity U in terms of original variables x,y,u,v into the equations of plane boundary layer with external velocity \bar in terms of the new variables \bar,\bar,\bar,\bar. The transformation is given by the formulas

\begin\displaystyle
\bar = \frac \int\limits_0^x r^2(x) dx,
\quad
\bar = \frac y,
\\ \displaystyle
\bar = u,
\quad
\bar = \frac \left( v+\frac y u \right),
\\ \displaystyle
\bar = U,
\end

where L is a constant length, r(x) is the distance from the point on the wall to the axis.
==References==

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抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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