Steady state of three-fluid parallel-flow heat exchanger system

摘要

We study the steady state of a three-fluid parallel-flow heat exchanger system using the nilpotency of the underlying semigroup. It is shown that the heat exchanger reaches the steady state in finite time if the inputs do not change given sufficient time. A formula to calculate the steady-state time is obtained, and it is verified by numerical simulations in the case of constant inputs.