Volume of Mixing Tank given Power Requirement for Rapid Mixing Operations Calculator

Volume of Tank Formula:

\[ V = \frac{P}{G^2 \times \mu} \]

Power Requirement:

Mean Velocity Gradient:

1/s

Dynamic Viscosity:

Pa·s

Tolerance:

Volume of Tank (m³):

1. What is Volume of Mixing Tank Calculator?

Definition: This calculator determines the required volume of a mixing tank based on power input, velocity gradient, and fluid viscosity.

Purpose: It helps engineers design rapid mixing operations in water treatment and chemical processing.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V = \frac{P}{G^2 \times \mu} \]

Where:

\( V \) — Volume of tank (cubic meters)
\( P \) — Power requirement (Watts)
\( G \) — Mean velocity gradient (1/second)
\( \mu \) — Dynamic viscosity (Pascal-seconds)

Explanation: The power input is divided by the product of velocity gradient squared and viscosity to determine tank volume.

3. Importance of Tank Volume Calculation

Details: Proper tank sizing ensures effective mixing, optimal chemical reactions, and efficient energy use in treatment processes.

4. Using the Calculator

Tips: Enter power in watts, velocity gradient in 1/s, viscosity in Pa·s, and optional tolerance percentage. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical velocity gradient for rapid mixing?
A: For rapid mixing, G typically ranges from 300 to 1000 s⁻¹.

Q2: How does viscosity affect tank volume?
A: Higher viscosity fluids require more power or larger volumes to achieve the same mixing intensity.

Q3: What's the purpose of the tolerance field?
A: It calculates a ±% range around the result to account for design safety factors (default ±5%).

Q4: How is power requirement determined?
A: Power depends on mixer type, impeller design, and desired mixing intensity.

Q5: What viscosity values are common in water treatment?
A: Water at 20°C has μ≈0.001 Pa·s, while coagulants might increase this to 0.002-0.005 Pa·s.