Mass Transfer Coefficient of Fluid Passing Through Single Particle Calculator

Formula Used:

\[ k_g = \left(2 + 0.6 \times \left(\frac{\rho \cdot u \cdot d_{Tube}}{\mu}\right)^{1/2} \times \left(\frac{\mu}{\rho \cdot d}\right)^{1/3}\right) \times \left(\frac{d}{d_{Tube}}\right) \]

Density (ρ):

kg/m³

Velocity in Tube (u):

m/s

Diameter of Tube (d_Tube):

Dynamic Viscosity of Liquid (μ):

Pa·s

Diffusivity of Flow (d):

m²/s

Overall Gas Phase Mass Transfer Coefficient (k_g):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Mass Transfer Coefficient?

The Overall Gas Phase Mass Transfer Coefficient describes the efficiency of mass transfer between a gas phase and a liquid phase in a system. It quantifies how effectively a substance is transferred from one phase to another.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ k_g = \left(2 + 0.6 \times \left(\frac{\rho \cdot u \cdot d_{Tube}}{\mu}\right)^{1/2} \times \left(\frac{\mu}{\rho \cdot d}\right)^{1/3}\right) \times \left(\frac{d}{d_{Tube}}\right) \]

Where:

\( k_g \) — Overall Gas Phase Mass Transfer Coefficient (m/s)
\( \rho \) — Density of the material (kg/m³)
\( u \) — Velocity in Tube (m/s)
\( d_{Tube} \) — Diameter of Tube (m)
\( \mu \) — Dynamic Viscosity of Liquid (Pa·s)
\( d \) — Diffusivity of Flow (m²/s)

Explanation: This formula combines Reynolds number and Schmidt number correlations to estimate the mass transfer coefficient for fluid flow through a single particle.

3. Importance of Mass Transfer Coefficient Calculation

Details: Accurate calculation of mass transfer coefficients is crucial for designing separation processes, chemical reactors, and environmental engineering systems where mass transfer between phases is a key factor.

4. Using the Calculator

Tips: Enter all values in appropriate SI units. Density, velocity, tube diameter, viscosity, and diffusivity must all be positive values for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the physical significance of the mass transfer coefficient?
A: The mass transfer coefficient represents the rate at which a substance is transferred between phases per unit area and per unit concentration difference.

Q2: How does fluid velocity affect the mass transfer coefficient?
A: Higher fluid velocities generally increase the mass transfer coefficient due to enhanced turbulence and reduced boundary layer thickness.

Q3: What are typical values for mass transfer coefficients?
A: Values vary widely depending on the system, but typically range from 10^-6 to 10^-2 m/s for gas-liquid systems.

Q4: How does temperature affect the mass transfer coefficient?
A: Temperature affects viscosity and diffusivity, which in turn influence the mass transfer coefficient. Generally, higher temperatures increase mass transfer rates.

Q5: Can this formula be used for all types of fluids?
A: This specific correlation is designed for Newtonian fluids in turbulent flow conditions through tubes. Different correlations may be needed for non-Newtonian fluids or other flow regimes.