Mass Transfer Coefficient Of Fluid Passing Through Packed Bed Of Particles Calculator

Formula Used:

\[ k_g = \left(2 + 1.8 \times (Re)^{1/2} \times (Sc)^{1/3}\right) \times \frac{d}{d_{Tube}} \]

Reynolds Number (Re):

Schmidt Number (Sc):

Diffusivity of Flow (d):

m²/s

Diameter of Tube (d_Tube):

Overall Gas Phase Mass Transfer Coefficient (k_g):

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1. What is 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 quickly a substance can move from one phase to another.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ k_g = \left(2 + 1.8 \times (Re)^{1/2} \times (Sc)^{1/3}\right) \times \frac{d}{d_{Tube}} \]

Where:

\( k_g \) — Overall Gas Phase Mass Transfer Coefficient (m/s)
\( Re \) — Reynolds Number (ratio of inertial to viscous forces)
\( Sc \) — Schmidt Number (ratio of viscosity to diffusivity)
\( d \) — Diffusivity of Flow (m²/s)
\( d_{Tube} \) — Diameter of Tube (m)

Explanation: This formula calculates the mass transfer coefficient for fluid passing through a packed bed of particles, considering fluid dynamics and transport properties.

3. Importance of Mass Transfer Coefficient

Details: The mass transfer coefficient is crucial for designing and optimizing chemical processes, separation systems, and reactors where mass transfer between phases occurs. It helps in predicting the rate of mass transfer and designing efficient equipment.

4. Using the Calculator

Tips: Enter Reynolds Number (dimensionless), Schmidt Number (dimensionless), Diffusivity of Flow in m²/s, and Diameter of Tube in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of Reynolds Number in this calculation?
A: Reynolds Number indicates the flow regime (laminar or turbulent) which significantly affects the mass transfer rate between phases.

Q2: How does Schmidt Number influence mass transfer?
A: Schmidt Number represents the ratio of momentum diffusivity to mass diffusivity, indicating the relative efficiency of momentum transfer versus mass transfer.

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: When is this formula applicable?
A: This formula is specifically designed for fluid passing through packed beds of particles, commonly used in chemical engineering applications.

Q5: Are there limitations to this equation?
A: The equation assumes specific flow conditions and may not be accurate for all packed bed configurations or extreme operating conditions.