Hello Pooria,
The existing piping system is at rest when you connect new pipes to it.
Also, 80C is operating temp. of the existing sytem while 135C is design temp. of the new one. I think you should change your approach. Besides, after connecting two systems, temperature will be stable for whole system. So it's important to know final temp. of the whole system. Ask your process colleague for differrent process scenarios.
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Regards,
Farhad Salehi
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What U give U get back !!!