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4.4.2 Header equations Inlet and outlet header models simulate the mixing of gases in the experiments. Although the switching of the solenoid valve in the experiments changes the concentration at the valve outlet almost instantaneously, the auxiliary volume at the inlet causes the pure and feed streams to mix and decrease the sharpness of the concentration front. Due to axial dispersion of the gas, a plug flow type gas displacement is not observed. In a similar fashion, the concentration wave during adsorption may weaken due to the presence of auxiliary volume at the outlet as the front reaches the microchannel outlet. Therefore, the adsorption stage model incorporates inlet and outlet header models, which for a given header volume calculate the density, pressure, mass fractions, and enthalpy of the mixture after gas mixing. These variables are then coupled to the corresponding boundary variables of the adsorbent-coated microchannel. The estimated header volumes in the test set-up are listed in Table 4.2. Equations (4.29) through (4.31) show the total mass, species and energy balance equations for the headers. Equation (4.32) relates instantaneous density and the header volume. dM dt m m (4.29) Inlet , ports dM dt i Inlet , ports Outlet , ports out i dU dt in Inlet , ports Outlet , ports mh mh (4.31) (4.32) M V 126 Outlet , ports i My My (4.30)PDF Image | TEMPERATURE SWING ADSORPTION PROCESSES FOR GAS SEPARATION
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