The formulas to calculate the dimensions of a floating-type rectangular digester are:

1. Inner Width (\(W_d\)):

\[ W_d = \left( \frac{1.15 \cdot V_d}{r \cdot p^2} \right)^{\frac{1}{3}} \]

2. Digester Height (\(H_d\)):

\[ H_d = r \cdot L_d \]

Where:

• \(W_d\) is the inner width in meters (m).
• \(V_d\) is the effective digester volume in cubic meters (m³).
• \(r\) is the height to width ratio.
• \(p\) is the desired width and length proportion.
• \(H_d\) is the digester height in meters (m).