Orthogonal Collocation-based Steady-State and Transient Response Simulation of Two-pass Shell and Tube Heat Exchangers
An orthogonal collocation-based approach to the simulation of the steady-state and transient response of a two-pass shell and tube heat exchanger is presented. The analytical solution of the steady-state temperature profiles in the heat exchanger are derived. These are then used for selection of the parameters of the orthogonal solution such that the Euclidean norm of the error between the analytical and orthogonal collocation solution is minimized. The lumped parameter ordinary differential equations (ODEs) obtained from the application of the orthogonal collocation method are used to simulate the dynamic response of the system using the state transition matrix approach. Very good results were obtained consistent with other reported applications of the orthogonal collocation method to other types of heat exchangers in the literature. The orthogonal collocation approach is attractive in the efficient simulation of single or interconnected heat exchanger systems such as heat exchanger networks or heat exchanger-reactor systems.
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