Nanopore Flow Calculator

Flow rate through nanopores with slip correction.

Pore Diameter (nm)

Pore Length (nm)

Pressure Difference (Pa)

Viscosity (mPa·s)

Slip Length (nm)

Tab to move between fields

Flow Rate (m³/s)

Slip Enhancement Factor

Flow Rate (fL/s)0.28

Avg. Velocity (m/s)0

Reynolds Number0

Molecules/s9,192,000,000

How to Use This Calculator

Enter nanopore diameter (nm) and pore length (nm) for your membrane or synthetic nanopore.
Set the applied pressure difference (Pa) and solution viscosity (mPa·s).
Enter slip length (nm) — positive values indicate hydrophobic pore walls that enhance flow.
Review volumetric flow rate (m³/s and fL/s), average velocity (m/s), slip enhancement factor, and Reynolds number.
Reynolds numbers well below 1 confirm laminar Hagen-Poiseuille flow is valid for this calculation.

What each input means

Pore Diameter (nm): Nanopore diameter.
Pore Length (nm): Length of the nanopore channel.
Pressure Difference (Pa): Driving pressure across the pore. 1 atm = 101325 Pa.
Viscosity (mPa·s): Fluid viscosity. Water at 25°C = 0.89.
Slip Length (nm): Hydrophobic slip. CNT: ~50 nm, hydrophilic: 0.

Identify Input Parameters
4 parameters
Pore Diameter (nm) = 10, Pore Length (nm) = 100, Pressure Difference (Pa) = 100000, Viscosity (mPa·s) = 0.89 = 5 input(s) provided
Calculate Flow Rate
Flow Rate = parseFloat(qSlip.toPrecision(4))
2.758e-19 = 2.758e-19
Calculate Slip Enhancement Factor
Slip Enhancement Factor = 1 + 8 * lambda / d
1 = 1
Calculate Flow Rate
Flow Rate = parseFloat(qFemtoLitersPerSec.toPrecision(4))
0.2758 = 0.2758
Calculate Avg. Velocity
Avg. Velocity = parseFloat(avgVelocity.toPrecision(4))
0.003511 = 0.003511