Abstract
A computational method is presented for obtaining the steady-state temperature responses of parallel-flow and counterflow heat exchangers subject to sinusoidal flow rate changes of large amplitude. The method is based on the assumptions that the fluids pass through a series of lumped heat exchangers with lumped capacitances and that the steady-state responses are to be expressed by Fourier series, and it enables us to reduce the computation time remarkably. The frequency-and amplitude-dependent describing functions between the input sinusoidal flow rate changes and the fundamental component of the steady-state response of the outlet temperature of tube-side or shell-side fluid are also derived. Numerical examples are given to show the effects of the amplitude of the flow rate changes on the describing function plots. Finally the nonlinear behavior of the steady-state periodic responses computed by this method is confirmed by means of digital simulations.
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