Skip to main content
. 2025 Apr 10;64(16):8359–8374. doi: 10.1021/acs.iecr.4c04491

Table 1. Boundary Conditions for Each Step Executed in the “Forward” Direction.

stepa boundary conditions, z = 0 boundary conditions, z = Lr
 
graphic file with name ie4c04491_m027.jpg
  
pressurization (PR) →0⊂⊃L×
graphic file with name ie4c04491_m028.jpg
graphic file with name ie4c04491_m029.jpg
 
graphic file with name ie4c04491_m030.jpg
  
 
graphic file with name ie4c04491_m031.jpg
graphic file with name ie4c04491_m032.jpg
feed (FE) →0⊂⊃L→
graphic file with name ie4c04491_m033.jpg
graphic file with name ie4c04491_m034.jpg
  Equation 8  
blowdown (BD) ×0⊂⊃L→
graphic file with name ie4c04491_m035.jpg
graphic file with name ie4c04491_m036.jpg
   
graphic file with name ie4c04491_m037.jpg
provide pressure equalization (PPE) ×0⊂⊃L→
graphic file with name ie4c04491_m038.jpg
graphic file with name ie4c04491_m039.jpg
   
graphic file with name ie4c04491_m040.jpg
 
graphic file with name ie4c04491_m041.jpg
  
receive pressure equalization (RPE) →0⊂⊃L×
graphic file with name ie4c04491_m042.jpg
graphic file with name ie4c04491_m043.jpg
  Equation 8b  
idle (ID) ×0⊂⊃L↔
graphic file with name ie4c04491_m044.jpg
graphic file with name ie4c04491_m045.jpg
a

Each step is illustrated schematically in Figure 2.

b

While this boundary condition does not permit the specification of a molar flow rate, the combination of vs and P(vs) that is consistent with the molar outflow rate of the PPE step is solved iteratively.