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As explained in Chapter 2, the equations are modified to account for the interface location. The time step is also decided based on how fast the interface reaches the next calculation point. Because the gas-liquid interface is monitored throughout the displacement, the calculation is performed as the interface crosses each node point. Hence, depending on the velocity of the interface, when the interface passes each node, the time step is automatically calculated and the results are reported. In this way, the time step is implicitly kept small (0.005 s, in this case, which is calculated by dividing the grid size of 0.01 m by the instantaneous interface velocity of 1.83 m s-1, when the interface is at 0.5 m from the inlet) to keep track of the interface precisely during displacement. As more liquid occupies the channel, the displacement process slows down; therefore, the implicit time step becomes marginally larger. 181PDF Image | TEMPERATURE SWING ADSORPTION PROCESSES FOR GAS SEPARATION
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