Help: Diameter of the main pre-cooling water pipe for the condenser

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Our company has three solvent recovery towers. Each tower has a condenser (with its area already determined), which is cooled by cooling water. The water pipes for the three coolers are supplied by a main pipe, and we now want to determine its diameter. Excuse me, **, what’s the process for calculating this! My approach is to first determine the amount of cooling water required for each condenser through an energy balance, then add these amounts together to get the total water volume required for the main pipe, and finally determine the diameter of the main pipe based on the economic flow velocity. I’m not sure if it’s appropriate! The problem I encountered is that the condenser involves phase changes – the solvent vaporized at the top of the tower is condensed, changing from a gas to a liquid! I’m frustrated – please provide a calculation method for condensers involving phase changes!