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→VA, volumen de superadobe por encima de la línea de surgencia
| Línea 140: | Línea 140: | ||
}{\color{Green}{s_h}} | }{\color{Green}{s_h}} | ||
</math> | |||
\ | <math> | ||
\begin{align} | |||
V_A(n) = \color{Green}{s_w} \color{Green}{s_h} 2 \pi r_{n(A)} | V_A(n) & = \color{Green}{s_w} \color{Green}{s_h} 2 \pi r_{n(A)} \\ | ||
& = \color{Green}{s_w} \color{Green}{s_h} 2 \pi \left(\color{Green}{r} - \color{Green}{l} + \frac{1}{2}\color{Green}{s_w} + \sqrt{\color{Green}{l}^2-\left[\left(n - \frac{1}{2} \right)\color{Green}{s_h} \right]^2} \right) | |||
\end{align} | |||
</math> | </math> | ||
<math> | <math> | ||
\begin{align} | \begin{align} | ||
V_A | V_A & = \color{Green}{s_w} \color{Green}{s_h} 2 \pi \sum_{n=1}^N \left(\color{Green}{r} - \color{Green}{l} + \frac{1}{2}\color{Green}{s_w} + \sqrt{\color{Green}{l}^2-\left[\left(n - \frac{1}{2} \right)\color{Green}{s_h} \right]^2} \right) | ||
& = \color{Green}{s_w} \color{Green}{s_h} 2 \pi \left(r -l + \frac{1}{2}s_w + \sqrt{l^2-\left[\left(n - \frac{1}{2} \right)s_h \right]^2} \right) | |||
r_{n(A)} \\ | |||
& = \color{Green}{s_w} \color{Green}{s_h} 2 \pi \left(\color{Green}{r} - \color{Green}{l} + \frac{1}{2}\color{Green}{s_w} + \sqrt{\color{Green}{l}^2-\left[\left(n - \frac{1}{2} \right)\color{Green}{s_h} \right]^2} \right) | |||
\end{align} | \end{align} | ||
</math> | </math> | ||