Gas Phase Mass Transfer Coefficient In Dehumidification Calculator

Formula Used:

\[ k_y = \frac{(h_1 \times (t_i - T_l)) - h_g \times (T_g - t_i)}{h_{fg} \times (Y_g - Y_i)} \]

Liquid Phase Heat Transfer Coefficient (h1):

W/m²·K

Inside Temperature (ti):

Liquid Layer Temperature (Tl):

Gas Phase Heat Transfer Coefficient (hg):

W/m²·K

Bulk Gas Temperature (Tg):

Enthalpy of Evaporation (hfg):

J/kg·K

Absolute Humidity of Air(tg) (Yg):

kg/kg

Absolute Humidity (ti) (Yi):

kg/kg

Gas Phase Mass Transfer Coefficient (ky):

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1. What Is The Gas Phase Mass Transfer Coefficient In Dehumidification?

The Gas Phase Mass Transfer Coefficient is a diffusion rate constant that relates the mass transfer rate, mass transfer area, and concentration change as driving force in dehumidification processes. It quantifies how efficiently mass is transferred between gas and liquid phases.

2. How Does The Calculator Work?

The calculator uses the following formula:

\[ k_y = \frac{(h_1 \times (t_i - T_l)) - h_g \times (T_g - t_i)}{h_{fg} \times (Y_g - Y_i)} \]

Where:

\( k_y \) — Gas phase mass transfer coefficient (mol/s·m²)
\( h_1 \) — Liquid phase heat transfer coefficient (W/m²·K)
\( t_i \) — Inside temperature (K)
\( T_l \) — Liquid layer temperature (K)
\( h_g \) — Gas phase heat transfer coefficient (W/m²·K)
\( T_g \) — Bulk gas temperature (K)
\( h_{fg} \) — Enthalpy of evaporation (J/kg·K)
\( Y_g \) — Absolute humidity of air at tg (kg/kg)
\( Y_i \) — Absolute humidity at ti (kg/kg)

Explanation: This equation calculates the mass transfer coefficient by considering the heat transfer balance and enthalpy differences between gas and liquid phases in dehumidification systems.

3. Importance Of Mass Transfer Coefficient Calculation

Details: Accurate calculation of gas phase mass transfer coefficient is crucial for designing efficient dehumidification systems, optimizing energy consumption, and predicting mass transfer rates in various industrial processes including air conditioning, drying, and chemical processing.

4. Using The Calculator

Tips: Enter all required parameters with appropriate units. Ensure temperature values are in Kelvin, heat transfer coefficients in W/m²·K, enthalpy in J/kg·K, and absolute humidity values in kg/kg. All input values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What Is The Significance Of Gas Phase Mass Transfer Coefficient?
A: It determines the rate at which mass (moisture) is transferred from gas to liquid phase, which is critical for designing efficient dehumidification equipment.

Q2: How Does Temperature Affect The Mass Transfer Coefficient?
A: Higher temperatures generally increase mass transfer rates due to increased molecular activity and diffusion coefficients.

Q3: What Are Typical Values For Gas Phase Mass Transfer Coefficient?
A: Values typically range from 0.01 to 0.1 mol/s·m² depending on system geometry, flow conditions, and fluid properties.

Q4: Can This Calculator Be Used For Other Applications Besides Dehumidification?
A: Yes, the same principles apply to various gas-liquid mass transfer processes including absorption, evaporation, and condensation.

Q5: What Should I Do If I Get A Negative Or Undefined Result?
A: Check your input values, particularly ensure that Yg ≠ Yi to avoid division by zero, and verify that temperature differences are physically meaningful.