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Mass Flux Density Converter

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Mass Flux Density (also known as Mass Flux Rate, Mass Velocity, or Superficial Mass Velocity, symbolized by G, jm, or J) measures the rate of mass flow passing perpendicularly through a unit cross-sectional area per unit of time (G = ˙m ÷ A = (dm ÷ dt) ÷ A = ρ · v, where ρ is fluid density and v is mean fluid velocity). Across industrial reverse osmosis (RO) membrane water desalination, chemical packed absorption column gas-liquid contacting, industrial convective drying, fluidized bed combustion, environmental lake evaporation, and rocket nozzle gas dynamics, mass flux density is categorized across three major engineering unit families: International System of Units (SI metric fundamental: Kilograms per Second per Square Meter / kg/(s·m2), Grams per Second per Square Meter / g/(s·m2), Kilograms per Hour per Square Meter / kg/(h·m2)), Imperial / US Customary standards (Pounds per Hour per Square Foot / lb/(h·ft2), Pounds per Second per Square Foot / lb/(s·ft2), Kilograms per Hour per Square Foot / kg/(h·ft2)), and high-intensity laboratory metrics (Grams per Second per Sq. Centimeter / g/(s·cm2)).

Our free online Mass Flux Density Converter provides instant, high-precision conversions across all SI metric, Imperial chemical process, membrane filtration, and mass transfer units:

  • Pounds per Hour per Square Foot to g/(s·m2) [Process Mass Transfer Standard]: Multiply lb/(h·ft2) by 1.35622991 (1 lb/(h·ft2) = 1.35623 g/(s·m2) = 0.00135623 kg/(s·m2) = 4.88243 kg/(h·m2)).
  • Grams per Second per Square Meter to lb/(h·ft2): Multiply g/(s·m2) by 0.7373383 (1 g/(s·m2) = 0.73734 lb/(h·ft2) = 0.001 kg/(s·m2) = 3.60 kg/(h·m2)).
  • Kilograms per Second per Square Meter to g/(s·m2) & lb/(h·ft2): 1 kg/(s·m2) = 1,000.0 g/(s·m2) = 737.3383 lb/(h·ft2) = 3,600.0 kg/(h·m2).
  • Kilograms per Hour per Square Meter to g/(s·m2) [Membrane Flux Standard]: Multiply kg/(h·m2) by 0.27777778 (1 kg/(h·m2) = 0.27778 g/(s·m2) = 0.20482 lb/(h·ft2)).
  • Grams per Second per Sq. Centimeter [g/(s·cm2)] to kg/(s·m2): Multiply by 10.0 (1 g/(s·cm2) = 10.0 kg/(s·m2) = 10,000 g/(s·m2) = 7,373.38 lb/(h·ft2)).
  • Pounds per Second per Square Foot [lb/(s·ft2)] to g/(s·m2): Multiply by 4,882.42769 (1 lb/(s·ft2) = 4,882.43 g/(s·m2) = 4.88243 kg/(s·m2) = 3,600 lb/(h·ft2)).

Master Mass Flux Density Conversion Table

The table below displays exact mathematical conversion relationships, SI g/(s·m2) multipliers, and imperial lb/(h·ft2) equivalents relative to 1 Gram per Second per Square Meter (1 g/(s·m2) = 0.001 kg/(s·m2)):

Mass Flux Density Unit Name Symbol Exact Value in g/(s·m2) lb/(h·ft2) & kg/(h·m2) Equivalent Domain & Technical Application Standard
1 Gram per Second per Square Meter g/(s·m2) 1.0 g/(s·m2) (Base SI Metric) 0.737338 lb/(h·ft2) (3.60 kg/(h·m2) / 0.001 kg/(s·m2)) SI Fundamental Mass Flux Density Standard
1 Pound per Hour per Square Foot lb/(h·ft2) 1.356230 g/(s·m2) 1.0 lb/(h·ft2) (4.88243 kg/(h·m2) / 0.0013562 kg/(s·m2)) US Imperial Chemical Column Mass Velocity Standard
1 Kilogram per Second per Square Meter kg/(s·m2) 1,000.0 g/(s·m2) (1.0 kg/(s·m2)) 737.338 lb/(h·ft2) (3,600.0 kg/(h·m2)) SI Heavy Process & Fluidized Bed Mass Velocity
1 Kilogram per Hour per Square Meter kg/(h·m2), LMH 0.277778 g/(s·m2) 0.204816 lb/(h·ft2) (1.0 kg/(h·m2)) Global Reverse Osmosis (RO) Membrane Water Flux Metric
1 Kilogram per Hour per Square Foot kg/(h·ft2) 2.989975 g/(s·m2) 2.20462 lb/(h·ft2) (10.7639 kg/(h·m2)) Mixed Metric/Imperial Filter Area Mass Flux
1 Gram per Second per Sq. Centimeter g/(s·cm2) 10,000.0 g/(s·m2) (10.0 kg/(s·m2)) 7,373.38 lb/(h·ft2) (36,000.0 kg/(h·m2)) High-Intensity Rocket Exhaust & Nozzle Gas Flux
1 Pound per Second per Square Foot lb/(s·ft2) 4,882.428 g/(s·m2) (4.88243 kg/(s·m2)) 3,600.0 lb/(h·ft2) (17,576.8 kg/(h·m2)) High-Pressure Gas Turbine & Combustion Dynamics

Step-by-Step Industrial RO Desalination Membrane Water Flux Calculation Example

To convert an industrial Reverse Osmosis (RO) seawater desalination membrane producing a clean permeate water flux of 25.0 Kilograms per Hour per Square Meter (25.0 kg/(h·m2) or Liters/m2/h – LMH) into SI g/(s·m2), SI kg/(s·m2), and Imperial lb/(h·ft2):

Step 1 (SI g/(s·m2) Conversion): G = 25.0 × 0.27777778 = 6.9444 g/(s·m2) (6.94 g/(s·m2))

Step 2 (SI kg/(s·m2) Conversion): G = 6.9444 ÷ 1,000 = 0.0069444 kg/(s·m2)

Step 3 (Imperial lb/(h·ft2) Conversion): G = 25.0 × 0.204816 = 5.1204 lb/(h·ft2)

Thus, an RO membrane flux of 25.0 kg/(h·m2) yields 6.94 g/(s·m2) or 5.12 lb/(h·ft2) of clean permeate water.


Real-World Membrane & Process Mass Flux Density Benchmarks

Below is a comparative reference chart showing mass flux density values (G) across RO membranes, surface evaporation, packed columns, and rocket nozzles:

Process Environment / Mass Transport Barrier Mass Flux Density in SI (kg/(h·m2) / g/(s·m2)) Imperial & Process Equivalent (lb/(h·ft2) / kg/(s·m2)) Chemical Engineering & Mass Transfer Context
Calm Open Reservoir Water Surface Evaporation 1.8 – 3.6 kg/(h·m2) (0.50 – 1.0 g/(s·m2)) 0.369 – 0.737 lb/(h·ft2) Ambient solar thermal mass transfer water vapor flux
Seawater Reverse Osmosis (SWRO) Desalination Membrane 15.0 – 30.0 kg/(h·m2) (4.17 – 8.33 g/(s·m2)) 3.07 – 6.14 lb/(h·ft2) High-pressure membrane water permeate flux (LMH rating)
Industrial Convective Grain/Sludge Dryer Wall 50.0 – 150.0 kg/(h·m2) (13.89 – 41.67 g/(s·m2)) 10.24 – 30.72 lb/(h·ft2) Forced hot air moisture removal rate per bed area
Chemical Distillation Packed Column Vapor Mass Velocity 0.50 – 2.50 kg/(s·m2) (1,800 – 9,000 kg/(h·m2)) 368.7 – 1,843.3 lb/(h·ft2) Gas superficial mass velocity below flooding limits (Ggas)
Fluidized Bed Coal Combustor Solids Mass Flux 10.0 – 50.0 kg/(s·m2) (36,000 – 180,000 kg/(h·m2)) 7,373.4 – 36,866.9 lb/(h·ft2) Circulating solids inventory recirculation mass flux
Liquid Rocket Engine Nozzle Throat Gas Mass Flux 1,000.0 – 5,000.0 kg/(s·m2) (1.0 – 5.0 g/(s·cm2)) 737,338 – 3,686,690 lb/(h·ft2) High-density supersonic combustion gas mass discharge

History & Physics: 1855 Adolf Fick Diffusion Law vs Superficial Mass Velocity (G = ρ · v)

1855 Adolf Fick & Fick’s First Law of Mass Diffusion (J = -D · (dC ÷ dx))

In 1855, German physiologist and physicist Adolf Fick published Ueber Diffusion, establishing the fundamental law of molecular mass transfer: J = -D · (dC ÷ dx). Fick proved that mass diffusion flux density J (in g/(s·m2) or kg/(s·m2)) is directly proportional to concentration gradient dC ÷ dx, establishing the physical foundation of mass transfer theory.

Superficial Mass Velocity in Heat & Mass Transfer Correlations (G = ρ · v)

In chemical process engineering and multiphase fluid dynamics, fluid movement through packed beds, heat exchangers, and distillation columns is calculated using Superficial Mass Velocity (G = ρ · v) in kg/(s·m2) or lb/(h·ft2). Because mass flux density G remains constant along variable-area or changing-density conduits under steady state, using G simplifies Reynolds (Re = G · D ÷ μ), Nusselt, and Sherwood number empirical correlations.


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Frequently Asked Questions (FAQ)

How do you convert lb/(h·ft2) to g/(s·m2)?

To convert Mass Flux Density from lb/(h·ft2) to g/(s·m2), multiply by 1.356230. For example, 100 lb/(h·ft2) × 1.356230 = 135.62 g/(s·m2).

How do you convert kg/(h·m2) (LMH) to g/(s·m2)?

To convert Reverse Osmosis membrane flux in kg/(h·m2) to g/(s·m2), divide by 3.6 (or multiply by 0.277778). For example, an RO flux of 18 kg/(h·m2) ÷ 3.6 = 5.0 g/(s·m2).

What is the difference between Volumetric Flow Rate (Q) and Mass Flux Density (G)?

Volumetric Flow Rate (Q in m3/s or GPM) measures total volume per unit time. Mass Flux Density (G in kg/(s·m2) or lb/(h·ft2)) measures mass flow rate per unit cross-sectional area: G = (Q · ρ) ÷ A = ρ · v.

Why is Mass Flux Density important in Reverse Osmosis (RO) membranes?

In RO membrane water treatment, permeate water flux is measured in kg/(h·m2) (LMH) or lb/(h·ft2). Operating within optimal mass flux limits prevents membrane fouling, concentration polarization, and structural compaction.