Filter Flux & Sizing Lab

Experimental GC data → transport coefficient → flux → required filter count. Reuses the existing transport, mass-balance, sizing, reaction & electrochemical engines.

Engineering Disclaimer

This application provides mathematical and engineering estimates based on user-entered assumptions, physical models, and available manufacturer or catalog data. Hydrogen is highly flammable. Calculated membrane transport, diffusion, ventilation, or filter capacity does not by itself establish a safe design, code compliance, or certification. Actual performance can differ due to material variability, temperature, pressure, installation geometry, concentration gradients, filter aging, fouling, manufacturing tolerances, leaks, reaction behavior, and other physical effects. Results should be independently reviewed and validated by a qualified engineer using applicable standards, test data, and manufacturer specifications.

GC Data
H₂ Concentration Decline
H₂ Inventory Change
mol H₂/s
mol/s / ΔxH₂
mol/m²/s/bar H₂
L H₂/m²/h/bar H₂
Actual Flux at ΔpH₂
H₂ Transport / Filter
Required Filters
Predicted H₂ vs Time
§1 Experimental Data — GC Depletion
22-min circulating-gas-loop. Transport from H₂ inventory change, NOT peak area alone.
§2 Transport Property Conversion
mol/s per Δx ↔ mol/m²/s/bar ↔ L H₂/m²/h/bar. Quantities are NOT interchangeable.
Value
Whole-filter conductanceArea-normalized flux coefficientMaterial propertyManufacturer rating
Molar volume (Vm)
24.47L/mol
Gx (mol/s per Δx)
2.0000e-5mol/s/x
Gp area (mol/m²/s/bar)
0.01153mol/m²/s/bar
F (L H₂/m²/h/bar)
1015L/m²/h/bar
Whole-filter (mol/s per bar)
2.0000e-5mol/s/bar
Whole-filter (L/h per bar)
1.762L/h/bar
Whole-filter mol/s @ ΔpH₂
8.0000e-7mol/s

Conversion chain: Gx = ṅ/Δx → ΔpH₂ = Δx·P_total → Gp = Gx/(A·P_total) → F = Gp·Vm·3600. Reference condition is explicit — required when comparing against literature values.

§3 Filter Geometry
Dimensions → area. Geometric area ≠ effective transport area.
Diameter
Membrane thickness
Effective area override (m²)
Number of filters (N)
Geometric area
0.001735
Effective transport area
0.001735
Total installed area (N×A)
0.001735
Area basis: Geometric
§4 Operating Conditions
Temperature, pressure (inside/outside). ΔP = P_inside − P_outside.
Temperature
Inside pressure
Outside pressure
ΔP (inside − outside)
0bar
§5 Hydrogen Driving Force
Concentration → mole fraction → H₂ partial pressure difference.
H₂ inside
H₂ outside
Transport model (from §2 property)
mole_fraction · ΔxH₂ (mole fraction)
ΔxH₂
0.04x
pH₂ inside
0.04bar
pH₂ outside
0bar
ΔpH₂
0.04bar
Driving force
ΔxH₂ (mole fraction)
§6 Flux Calculation
J = F × ΔpH₂ ; Q = J × A_effective. Per-filter and installed-system transport.
Flux coefficient F
1015L/m²/h/bar
ΔpH₂
0.04bar
H₂ flux J
40.61L/m²/h
Effective area
0.001735
Per filter
mol H₂/s
8.0000e-7
mol H₂/min
4.8000e-5
mol H₂/h
0.00288
L/h
0.07046
standard L/min (SLPM)
0.001076
g/h
0.005806
Installed system (N=1)
mol H₂/s
8.0000e-7
L/h
0.07046
standard L/min (SLPM)
0.001076
§7 Required Filter Count
Searches N=1..Nmax via the transient mass balance. Transport evaluated at the actual target driving force.
H₂ generation rate
Flow conversion:0.000005 mol/s=5.0000e-6 mol/s=0.006724 SLPM· 1 SLPM = 7.436e-4 mol/s (STP: 0 °C, 1 atm)
§8 Target H₂ Concentration
User-defined target. Steady-state & transient modes both use the dynamic mass balance.
Target max H₂
Duration
Design margin
Max filters to search
Failed filters
MEETS CALCULATION CRITERIONManual: 0.000005 mol/s

At 4.00% H₂, 1 bar, 25 °C, 5.0000e-6 mol/s H₂ generation, and a target of ≤2.00% H₂, the model requires 13 filter(s) of this specification. At 12 filter(s), predicted peak concentration is 2.083%; at 13 filter(s), 1.923%.

Min required filters
13
Predicted peak H₂
1.923%
Final H₂
1.923%
Capacity ratio
1.04
Capacity margin
4%
Concentration margin
3.846%
Per-filter transport @ target
4.0000e-7mol/s
Total capacity (N working)
5.2000e-6mol/s
§9 What-If Analysis
Live overrides. Results recompute instantly through the full mass balance.
§10 Experimental vs Predicted
Experimental (GC-derived) vs catalog/predicted. Flag material discrepancy.
§11 Engineering Report Builder
Select calculations, add letterhead logo & signatures, generate a PDF with math + findings.