Process Equipment and Plant Design
In a shell and tube heat exchanger having square pitch, the shell side equivalent diameter is given by (where, P = pitch, d = outside diameter of the tube)

4P²/πd
Πd/4P²
4(P² - πd²/4)/πd
(P² - πd²/4)/πd

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Process Equipment and Plant Design
Generally, elliptical dished heads

All of these
Are approximately as strong as seamless cylindrical shell having the corresponding I.D and O.D
Resist half the pressure rating compared to hemi spherical head provided on the cylindrical shell of the same thickness and diameter
Are manufactured on 2:1 ratio of major to minor axis and is recommended to be used for pressure vessels operating above a pressure of 1.5 MN/m²

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Process Equipment and Plant Design
Liquid gradient over a tray can be minimised by

Decreasing the number of rows of caps through which the liquid flows or by decreasing the velocity of liquid flow past the caps or by reducing the distance along the tray through which the liquid must
Providing a higher skirt clearance or a higher weir
Using split flow, radial flow or cascade flow for column diameter large than 4 ft
All of these

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