For a given shell diameter and tube sizes for a shell-and-tube heat exchanger, which tube pitch pattern would be the most compact design allowing for the most tubes?
• Tube pitch and how it relates to how many tubes can fit in a fixed shell diameter • Differences in packing density between triangular and square tube layouts • How tube layout affects compactness vs. ease of cleaning
• Imagine looking at the tube bundle from the end: which pattern leaves the least empty space between circles (tubes)? • Compare how many neighboring tubes each tube touches in triangular vs. square patterns. • Think about which pattern is usually chosen when the design priority is maximum heat‑transfer area in a limited shell size.
• Identify which geometric pattern of circles gives highest packing density in a plane. • Confirm which layouts are mainly chosen for mechanical cleaning/roddability rather than compactness. • Eliminate any options that are simply a rotation of another pattern without increasing packing density.
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