Dupuit’s equation for calculating the length of equivalent pipe is:

1
\(\frac{L}{{{d}^{4}}}=\frac{{{L}_{1}}}{d_{1}^{4}}+\frac{{{L}_{2}}}{d_{2}^{4}}+\frac{{{L}_{3}}}{d_{3}^{4}}\)
2
\(\frac{L}{{{d}^{6}}}=\frac{{{L}_{1}}}{d_{1}^{6}}+\frac{{{L}_{2}}}{d_{2}^{6}}+\frac{{{L}_{3}}}{d_{3}^{6}}\)
3
\(\frac{L}{{{d}^{3}}}=\frac{{{L}_{1}}}{d_{1}^{3}}+\frac{{{L}_{2}}}{d_{2}^{3}}+\frac{{{L}_{3}}}{d_{3}^{3}}\)
4
\(\frac{L}{{{d}^{5}}}=\frac{{{L}_{1}}}{d_{1}^{5}}+\frac{{{L}_{2}}}{d_{2}^{5}}+\frac{{{L}_{3}}}{d_{3}^{5}}\)
5
\(\frac{L}{{{d}}}=\frac{{{L}_{1}}}{d_{1}}+\frac{{{L}_{2}}}{d_{2}}+\frac{{{L}_{3}}}{d_{3}}\)

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