Table 5.

The boundary conditions of governing equations.

Position	Shell side		Membrane	Tube
	Mass	Momentum	Mass	Mass
z = 0	Convective flux	Outlet: pressure, no viscous stress, p = 0	Insulated	${\text{C}}_{{\text{CO}}_2}$ = 0, CM = C0, q = 0
z = L	${\text{C}}_{{\text{CO}}_2}$ = C0	inlet velocity, V = V0,shell	Insulated	Convective flux
r = 0	–	–	–	Axial symmetry
r = r1	–	–	${\text{C}}_{{\text{CO}}_2}$ = C,tube/m	${\text{C}}_{{\text{CO}}_2}$ = Cmembrane × m, insulated
r = r2	${\text{C}}_{{\text{CO}}_2}$ = Cmembrane	No slip, wall	${\text{C}}_{{\text{CO}}_2}$ = Cshell	–
r = r3	Insulated	No slip, wall	–	–