Volume of Mixing Tank given Mean Velocity Gradient Calculator

Volume of Tank Formula:

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

Volume of Tank (m³):

1. What is Volume of Mixing Tank Calculator?

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

Purpose: It helps engineers design appropriate mixing tanks for water treatment, chemical processing, and other industrial applications.

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 square of velocity gradient multiplied by viscosity to determine the required tank volume for effective mixing.

3. Importance of Tank Volume Calculation

Details: Proper tank volume estimation ensures efficient mixing, optimal chemical reactions, and cost-effective system design.

4. Using the Calculator

Tips: Enter the power requirement in Watts, mean velocity gradient in 1/s, and dynamic viscosity in Pa·s. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is mean velocity gradient?
A: It's a measure of mixing intensity, representing the rate of velocity change within the fluid.

Q2: What's a typical viscosity value for water?
A: Water at 20°C has a dynamic viscosity of about 0.001 Pa·s.

Q3: Why is the gradient squared in the formula?
A: The square relationship accounts for the energy dissipation rate in turbulent mixing.

Q4: How do I determine power requirement?
A: Power depends on mixer type, fluid properties, and desired mixing intensity.

Q5: What's the ±5% tolerance for?
A: It accounts for typical measurement uncertainties in these parameters.