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Calcimator

Membrane Flux Calculator

Calculate permeate flux, transmembrane pressure, and fouling indicators for membrane filtration systems (MF/UF/NF/RO).

About this calculator

This calculator derives permeate flux and its downstream indicators from feed flow, membrane area, transmembrane pressure (TMP), and recovery rate. Permeate Flux itself moves with three inputs at roughly comparable strength -- Total Membrane Area (larger area spreads the same permeate flow over more surface, lowering flux per unit area), Feed Flow Rate, and Recovery Rate -- so no single one of those three dominates the others. Specific Flux and Permeability are reported as separate outputs but are numerically identical: both are defined as flux divided by TMP (LMH/bar), which is the standard engineering definition of membrane permeability, not two independent measurements that happen to coincide. Concentration Factor is driven almost entirely by Recovery Rate, since recovery directly sets what fraction of feed water leaves as permeate versus concentrate and nothing else appears in that formula. Concentrate Flow depends on both Recovery Rate and Feed Flow Rate, but because Feed Flow Rate's declared range spans a much wider ratio (0.01-100 MGD) than Recovery Rate's (30-99%), Feed Flow Rate is actually the input Concentrate Flow moves the most across their full ranges, even though Recovery Rate sets what fraction of any given feed flow ends up as concentrate.

Specific Energy, by contrast, is driven mostly by Transmembrane Pressure and, to a smaller but real degree, Recovery Rate -- because pumping energy scales with flow times pressure while Specific Energy is energy per unit of PERMEATE volume, the feed-flow-rate terms cancel out of the ratio entirely, but Recovery Rate stays in the denominator (a higher recovery rate spreads the same pumping energy over more permeate, lowering Specific Energy). Transmembrane Pressure's 800x declared-range span (0.1-80 bar) swings Specific Energy far more than Recovery Rate's roughly 3x span (30-99%) does, so TMP remains the dominant driver, just not the only one. Membrane Modules, Pressure Vessels, and Annual Membrane Cost are all set by Total Membrane Area alone, based on a fixed typical module size and per-module replacement cost. This calculator uses industry rule-of-thumb figures for module size, pump efficiency, and replacement cost/interval rather than a specific vendor's equipment specs -- confirm actual figures against your membrane manufacturer's documentation before finalizing a system design.

Inputs

MGD
sq ft
bar
°F

Results

Permeate Flux

56.8 LMH

Specific Flux

113.6 LMH/bar

Fouling StatusLight Fouling
Temperature-Corrected Flux64 LMH (20°C)
Concentrate Flow0.2 MGD
Concentration Factor10×
Membrane Modules143
Pressure Vessels24
CIP Cleaning FrequencyEvery 14-30 days
Annual Energy Cost$4,797.00
Annual Membrane Cost$59,583.00
Concentrate Flow LPH31,541.7 L/h
Specific Energy0.02 kWh/m³
How to Use This Calculator
  1. Enter Feed Flow Rate (MGD) and Total Membrane Area (m²) installed in the system.
  2. Input Transmembrane Pressure (bar) — the operating pressure differential across the membrane.
  3. Set Water Temperature (°C) — flux increases with temperature; enter the design minimum for conservative sizing.
  4. Enter Recovery Rate (%) — the fraction of feed water converted to permeate.
  5. Review Permeate Flux (LMH) and Specific Flux (LMH/bar) to assess whether the system is operating within design parameters.
  6. Check Fouling Status and Temperature-Corrected Flux to identify if cleaning or backwash is needed.

How the result changes with Total Membrane Area

Total Membrane AreaPermeate FluxSpecific Flux
2,500113.6 LMH227.1 LMH/bar
3,75075.7 LMH151.4 LMH/bar
7,50037.9 LMH75.7 LMH/bar
12,50022.7 LMH45.4 LMH/bar

What each input means

Feed Flow Rate
Total feed flow rate to the membrane system.
Total Membrane Area
Total installed membrane area in square meters.
Transmembrane Pressure
Pressure difference across the membrane. MF/UF: 0.1-2 bar, NF: 3-10 bar, RO: 10-70 bar.
Water Temperature
Water temperature — affects viscosity and flux. Reference: 20°C.
Recovery Rate
Percentage of feed water converted to permeate. MF/UF: 90-95%, RO: 75-85%.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    5 parameters
    Feed Flow Rate = 2, Total Membrane Area = 5000, Transmembrane Pressure = 0.5, Water Temperature = 15, Recovery Rate = 90 = 5 input(s) provided
  2. Calculate Permeate Flux
    Permeate Flux
    56.8 = 56.8
  3. Calculate Specific Flux
    Specific Flux
    113.6 = 113.6
  4. Calculate Fouling Status
    Fouling Status
    Light Fouling = Light Fouling
  5. Calculate Temperature-Corrected Flux
    Temperature-Corrected Flux
    64 = 64

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why are Specific Flux and Permeability the same number?

They're not two separate measurements -- membrane permeability is defined, by standard convention, as flux divided by transmembrane pressure (LMH/bar), which is exactly what "specific flux" also means. The calculator reports both names because both terms are used interchangeably in the membrane filtration industry, not because two different calculations happen to agree.

Why does Specific Energy depend mostly on Transmembrane Pressure?

Pumping energy scales with feed flow rate times TMP, but Specific Energy is that energy divided by the PERMEATE volume produced -- and permeate volume itself scales with feed flow rate. The feed-flow-rate terms cancel out of the ratio entirely, leaving Specific Energy proportional to TMP divided by Recovery Rate. TMP remains the dominant driver because its declared range spans a much wider ratio (0.1-80 bar, 800x) than Recovery Rate's (30-99%, about 3x), but a higher Recovery Rate does genuinely lower Specific Energy too, since the same pumping energy is then spread across more permeate.

Why does Recovery Rate affect Concentration Factor so strongly?

Concentration Factor is 1 / (1 - Recovery Rate), which grows sharply as recovery approaches 100% -- at 90% recovery the concentrate stream is 10x more concentrated than the feed, but at 99% recovery it's 100x more concentrated. Because that relationship isn't linear, a percentage-point change in Recovery Rate near the high end swings Concentration Factor far more than the same change near the low end.

What sets the number of Membrane Modules and Pressure Vessels needed?

Both are set purely by Total Membrane Area, divided by a fixed typical module size (about 35 m² for hollow-fiber modules) and a typical count of modules per pressure vessel rack. Feed flow rate, TMP, water temperature, and recovery rate don't factor into the physical module count -- only how much total membrane surface area you need to install.

What doesn't this calculator account for?

It uses industry rule-of-thumb figures for module size, pump efficiency, membrane replacement interval, and replacement cost rather than a specific manufacturer's actual equipment specifications -- real systems vary by membrane type (MF, UF, NF, or RO), vendor, and site conditions. Confirm actual module sizing, energy costs, and replacement schedules against your equipment supplier's documentation before finalizing a design.

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