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1 cm gap; cold water pipe; condensation
those gaps show a little bit of exposed copper. 99.5% of the copper is covered, so condensation occuring on the surface exposed could be deemed negligeably small. That is an opinion, and it is debatable.
I'd tape the ends of the two pieces of foam insulation together.
That would seal that little air gap. The trapped air behind the tape would not cause condensation, because its (small) water content would not be permanently increased by new air moving over the cold water pipes. The essence of conductive insulation is little bubbles of trapped air. A 1/2" bubble is bigger than average. Anyone could also insert any scrunchled up used plastic bag into that gap, and that would do the right function too, although it wouldn't look beautiful. I'd tape over that too.
The tape must not be tight and not touch the pipes. It should follow the outer diameter of that foam insulation tube. This leaves open space under the tape.
Cutting another little piece of foam to fit is not that easy, and wouldn't look beautiful either. Getting just the right shape is not easy. Then, if it's too big, it will push itself away from the pipe, or it will push the next piece away. I'd tape it, to seal air and so as not to allow air to circulate freely over the pipe. If air moves across the pipe, condensation will occur, but it will be minor. When a small quantity of air is static, immobilized, it is unable to "exchange itself" or refresh itself, and "get" more humidity, so condensation is far far less (probably zero) than if air could move across the pipe, and any condensation will be really really meaningless in terms of risk of fostering mold and rot.
The dew point will not be reached, if a small piece of cold copper is in contact with a small pocket of static air, in a situation such as this one.
David
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