Membrane Flux Rate Calculation

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Membrane Flux Rate Calculator

Calculate the permeate flux for Reverse Osmosis (RO), Ultrafiltration (UF), and Nanofiltration (NF) systems.

Calculated Flux Rate:

What is Membrane Flux Rate?

In water treatment and membrane technology, Membrane Flux represents the volume of fluid (permeate) that passes through a unit area of membrane surface over a specific period. It is the primary indicator of how efficiently a membrane system is operating.

Understanding flux is critical for engineers because it directly relates to the fouling rate. Operating at a flux rate that is too high can lead to rapid membrane scaling or organic fouling, requiring more frequent chemical cleanings (CIP) and reducing the lifespan of the membrane elements.

The Membrane Flux Formula

The standard calculation for flux (J) is expressed as:

J = Q / A

Where:

  • J: Flux (usually in LMH or GFD)
  • Q: Permeate Flow Rate (Volume/Time)
  • A: Active Membrane Surface Area

Common Units of Measurement

Depending on the region and industry, two main units are used:

  • LMH: Liters per Square Meter per Hour (Standard Metric unit).
  • GFD: Gallons per Square Foot per Day (Standard US Imperial unit).

To convert from GFD to LMH, multiply the GFD value by 1.699.

Typical Flux Rate Ranges

Different water sources require different flux rates to prevent fouling:

Source Water Typical Flux (GFD) Typical Flux (LMH)
RO Seawater 8 – 12 13.5 – 20.5
RO Brackish Well Water 14 – 18 24 – 30.5
RO Surface Water 10 – 14 17 – 24

Practical Example

Imagine an industrial RO system with 5 membrane elements. Each element has an active area of 40 m² (Total Area = 200 m²). If the system produces 3,000 Liters per hour of permeate:

  • Flow Rate (Q) = 3,000 L/h
  • Total Area (A) = 200 m²
  • Flux (J) = 3,000 / 200 = 15 LMH
function calculateMembraneFlux() { var flow = document.getElementById('flowRate').value; var area = document.getElementById('surfaceArea').value; var resultDiv = document.getElementById('flux-result-area'); var lmhOutput = document.getElementById('resLMH'); var gfdOutput = document.getElementById('resGFD'); if (flow === "" || area === "" || parseFloat(area) <= 0) { alert("Please enter valid positive numbers for both flow rate and membrane area."); return; } var q = parseFloat(flow); var a = parseFloat(area); // Calculate LMH (Liters per m2 per hour) var lmh = q / a; // Convert to GFD (Gallons per square foot per day) // 1 LMH = 0.5885 GFD (approximately) // Formula for GFD: (Flow in Gallons per Day) / (Area in SqFt) // Easier conversion: LMH / 1.699 = GFD var gfd = lmh / 1.699; lmhOutput.innerHTML = lmh.toFixed(2) + " LMH"; gfdOutput.innerHTML = "Equivalent to: " + gfd.toFixed(2) + " GFD (Gallons per Square Foot per Day)"; resultDiv.style.display = 'block'; }

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