Section 2.1 Process Dynamic Responses The Model of a Shower At t,turn up the valve of hot water by a small increment Ag At the time ti the increment is 0.632△c At t2 the increment of the warm Warm water water temperature is Ac and does not increase anymore Hot water Cold water The warmer water flows to the outlet at t3 K=△c/△q T =t1-t Figure: Shower 0=t3-t2. Zhang.W.D..CRC Press.2011 Version 1.0 6/64Section 2.1 Process Dynamic Responses The Model of a Shower At t, turn up the valve of hot water by a small increment ∆q At the time t1 the increment is 0.632∆c At t2 the increment of the warm water temperature is ∆c and does not increase anymore The warmer water flows to the outlet at t3 K = ∆c/∆q τ = t1 − t θ = t3 − t2. Figure: Shower Zhang, W.D., CRC Press, 2011 Version 1.0 6/64