In the calculation of Reynold’s Number for the Friction factor of the shell, which is the correct formula for equivalent diameter De?

In the calculation of Reynold’s Number for the Friction factor of the shell, which is the correct formula for equivalent diameter De? Correct Answer Depends on the pitch

While friction factor is calculated for the shell, the wall friction is provided by both the sides of the tube. Hence when we are calculating the Hydraulic diameter for the shell we consider the pitch, i.e triangular pitch or square pitch.
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