Membrane Flux Based On Resistance Calculator

Formula Used:

\[ J_{wM} = \frac{\Delta P_m}{R_m \times \mu} \]

Applied Pressure Driving Force (ΔP_m):

Pascal

Membrane Flow Resistance of Unit Area (R_m):

1/m

Liquid Viscosity (μ):

Pa·s

Flux through Membrane (J_wM):

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1. What is Membrane Flux Based on Resistance?

Membrane flux based on resistance is defined as the rate of movement or transfer of a substance per unit area across a porous barrier known as a membrane, calculated using the applied pressure driving force, membrane flow resistance, and liquid viscosity.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ J_{wM} = \frac{\Delta P_m}{R_m \times \mu} \]

Where:

\( J_{wM} \) — Flux through membrane (m³/m²/s)
\( \Delta P_m \) — Applied pressure driving force (Pascal)
\( R_m \) — Membrane flow resistance of unit area (1/m)
\( \mu \) — Liquid viscosity (Pa·s)

Explanation: The equation calculates the flux through a membrane by dividing the applied pressure driving force by the product of membrane flow resistance and liquid viscosity.

3. Importance of Membrane Flux Calculation

Details: Accurate membrane flux calculation is crucial for designing and optimizing membrane separation processes, predicting system performance, and determining the efficiency of filtration systems in various industrial applications.

4. Using the Calculator

Tips: Enter applied pressure driving force in Pascal, membrane flow resistance of unit area in 1/m, and liquid viscosity in Pa·s. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is membrane flux?
A: Membrane flux is defined as the rate of movement or transfer of a substance per unit area across a porous barrier known as a membrane.

Q2: What factors affect membrane flux?
A: Membrane flux is primarily affected by applied pressure driving force, membrane flow resistance, and liquid viscosity, as described by the formula.

Q3: What are typical units for membrane flux?
A: Membrane flux is typically measured in cubic meters per square meter per second (m³/m²/s) or other volumetric flow rate per unit area units.

Q4: How does viscosity affect membrane flux?
A: Higher liquid viscosity increases the resistance to flow, resulting in lower membrane flux for a given pressure driving force.

Q5: What applications use this calculation?
A: This calculation is used in various membrane separation processes including reverse osmosis, ultrafiltration, microfiltration, and other industrial filtration applications.