Power Required For Agitator Calculator

Formula Used:

\[ P = \frac{N_p \cdot \rho_l \cdot \left(\frac{N}{60}\right)^3 \cdot D_a^5}{[g] \cdot 75} \]

Power Number (Nₚ):

Density of Liquid (ρₗ):

kg/m³

Speed of Agitator (N):

rpm

Agitator Diameter (Dₐ):

Power (P):

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1. What is the Power Required for Agitator Formula?

The Power Required for Agitator formula calculates the power needed to operate an agitator based on the power number, liquid density, agitator speed, and agitator diameter. This is essential for designing and selecting appropriate mixing equipment.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P = \frac{N_p \cdot \rho_l \cdot \left(\frac{N}{60}\right)^3 \cdot D_a^5}{[g] \cdot 75} \]

Where:

\( P \) — Power (W)
\( N_p \) — Power Number (dimensionless)
\( \rho_l \) — Density of Liquid (kg/m³)
\( N \) — Speed of Agitator (rpm)
\( D_a \) — Agitator Diameter (m)
\( [g] \) — Gravitational acceleration (9.80665 m/s²)

Explanation: The formula accounts for the relationship between agitator geometry, fluid properties, and rotational speed to determine the required power input.

3. Importance of Power Calculation

Details: Accurate power calculation is crucial for proper agitator selection, ensuring efficient mixing while avoiding underpowered or overpowered equipment that could lead to poor mixing performance or excessive energy consumption.

4. Using the Calculator

Tips: Enter the power number (dimensionless), liquid density in kg/m³, agitator speed in rpm, and agitator diameter in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the Power Number (Nₚ)?
A: The Power Number is a dimensionless number that relates the resistance force to the inertia force. It depends on the agitator type and geometry.

Q2: Why is density important in power calculation?
A: Density affects the mass of fluid being moved by the agitator, directly influencing the power required for mixing.

Q3: How does agitator speed affect power requirement?
A: Power requirement increases with the cube of the speed, making speed the most significant factor in power consumption.

Q4: What are typical power number values?
A: Power numbers vary by agitator type: typically 0.2-1.0 for propellers, 1.0-5.0 for turbines, and higher for specialized designs.

Q5: When should this calculation be used?
A: This calculation is essential during agitator selection, process design, and when scaling up mixing processes from laboratory to production scale.