Membrane Pore Diameter Calculator

Pore Diameter Formula:

\[ d = \left( \frac{32 \times \mu \times J_{wM} \times \Tau \times l_{mt}}{\varepsilon \times \Delta P_m} \right)^{0.5} \]

Liquid Viscosity (μ):

Pa·s

Flux through Membrane (J_wM):

m³/m²/s

Tortuosity (Τ):

Membrane Thickness (l_mt):

Membrane Porosity (ε):

Applied Pressure Driving Force (ΔP_m):

Pore Diameter (d):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Membrane Pore Diameter?

Pore diameter is defined as the distance between two opposite walls of a pore in a membrane. It is a critical parameter that determines the filtration efficiency and selectivity of membrane-based separation processes.

2. How Does the Calculator Work?

The calculator uses the pore diameter formula:

\[ d = \left( \frac{32 \times \mu \times J_{wM} \times \Tau \times l_{mt}}{\varepsilon \times \Delta P_m} \right)^{0.5} \]

Where:

\( d \) — Pore diameter (m)
\( \mu \) — Liquid viscosity (Pa·s)
\( J_{wM} \) — Flux through membrane (m³/m²/s)
\( \Tau \) — Tortuosity
\( l_{mt} \) — Membrane thickness (m)
\( \varepsilon \) — Membrane porosity
\( \Delta P_m \) — Applied pressure driving force (Pa)

Explanation: The formula calculates the effective pore diameter based on the membrane's physical properties and operating conditions.

3. Importance of Pore Diameter Calculation

Details: Accurate pore diameter calculation is crucial for membrane selection, process optimization, and predicting separation performance in various applications including water treatment, pharmaceutical processing, and food industry.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. Ensure values are positive and within reasonable ranges for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is tortuosity in membrane science?
A: Tortuosity is an intrinsic property of a porous material usually defined as the ratio of actual flow path length to the straight distance between the ends of the flow path.

Q2: How is membrane porosity defined?
A: Membrane porosity is defined as the void volume fraction of a membrane. It is the volume of the pores divided by the total volume of the membrane.

Q3: What factors affect pore diameter calculation?
A: The calculation depends on liquid viscosity, membrane flux, tortuosity, membrane thickness, porosity, and applied pressure driving force.

Q4: What are typical pore diameter ranges for membranes?
A: Pore diameters can range from nanometers (ultrafiltration) to micrometers (microfiltration) depending on the membrane type and application.

Q5: How accurate is this calculation method?
A: This formula provides a good estimation but actual pore size distribution may vary due to membrane manufacturing processes and material properties.