Abstract
The relation between the spatial weighting function of the manipulated variable and the locations of zeros is discussed for single tube, parallel-flow and counter-flow that exchangers.
When the spatial weighting function for the single tube heat exchanger which wall temperature is manipulated is linear and exponential, the locations of the zeros move to the left on the complex plane as the magnitude of the spatial weighting function is specified larger at the outlet than that at the inlet.
It is confirmed that the relation between the spatial weighting function and the locations of zeros in the parallel-flow and counterflow heat exchanger shows the same tendency as that of the single tube heat exchanger. It is also found that the locations of the zeros move to the left as the temperature efficiency of the fluid which flow rate is manipulated becomes higher.