Membrane Separations Technology: Single-Stage, Multistage, and Differential Permeation

Appendix 6: Differential Permeation with Permeate Flow

The objective is to determine the membrane area for concurrent flow where the feedstream F = L 1 is at its bubble point; that is, where V 1 = 0.

This procedure may be modified to accept a positive value for V 1 other than zero and a composition ( y 1) i. This composition would be entered at E7 = O7 and copied for the entire column. Columns K through R would be left blank, although column O would be made equal to column E.

Table A6.1: Excel Spreadsheet Designators and Formulas for Differential Permeation with Permeate Flow Calculations

Column

Equation or Designator

Spreadsheet Formula

A

L 1 = F

(fixed)

B

V 1

(fixed)

C

( x 1) i = ( x F) i

(fixed)

D

( x 1) j = (( x F) j

(fixed)

E

( y 1) i via bubble-point determination for L 1

=O5

F

Skip

G

P i

(given)

H

P j

(given)

I

P L

(fixed)

J

P V

(fixed)

K

Skip

L

V ?

(trial and error)

M

K i = P iP L/( V ? + P iP V)

G7*17/(L7+G7*J7)

N

K j = P jP i/( V ? + P jP v)

H7*17/L7+H7*J7)

O

y i = K ix i, where it also follows that y i

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