Agitator Tip Speed Calculator

Formula

The formula to calculate the Agitator Tip Speed (V) is:

$V = \frac{\pi D N}{60}$

Where:

$D$ is the agitator diameter (m).
$N$ is the rotational speed (rpm).

Example

Let's say the agitator diameter ( $D$ ) is 0.5 meters and the rotational speed ( $N$ ) is 300 rpm. Using the formula:

$V = \frac{\pi \times 0.5 \times 300}{60}$

We get:

$V = \frac{471.24}{60} \approx 7.85 \text{ m/s}$

So, the Agitator Tip Speed ( $V$ ) is approximately 7.85 m/s.

What is an Agitator Tip Speed?

An agitator tip speed refers to the speed at which the tip of an agitator blade moves through the medium it is mixing. This speed is crucial in various industrial processes, such as mixing, blending, and chemical reactions, as it affects the efficiency and effectiveness of the process. The tip speed is determined by the diameter of the agitator and its rotational speed. Higher tip speeds can lead to better mixing but may also cause more wear and tear on the equipment and the medium being mixed.

Extended information about "Agitator-Tip-Speed-Calculator"

Tip Speed of Agitator

Definition: The tip speed of an agitator is the speed at which the tip of the agitator blade moves.

Formula: $\text{Tip Speed} = \pi D N$

Tip Speed: The speed of the agitator tip
D: Diameter of the agitator
N: Rotational speed (RPM)

Example: $\text{Tip Speed} = \pi \times 0.5 \times 100$

D: 0.5 m
N: 100 RPM

Power Calculation for Agitator

Definition: The power required for an agitator is the energy needed to achieve the desired mixing.

Formula: $P = N_p \rho N^3 D^5$

P: Power required
N_p: Power number
$\rho$ : Density of the fluid
N: Rotational speed (RPM)
D: Diameter of the agitator

Example: $P = 0.5 \times 1000 \times 100^3 \times 0.5^5$

N_p: 0.5
$\rho$ : 1000 kg/m³
N: 100 RPM
D: 0.5 m

Agitator Scale Up Calculation

Definition: Scaling up an agitator involves adjusting the design to maintain similar mixing performance in a larger system.

Formula: $\frac{P_1}{P_2} = \left(\frac{D_1}{D_2}\right)^5$

P_1: Power of the original agitator
P_2: Power of the scaled-up agitator
D_1: Diameter of the original agitator
D_2: Diameter of the scaled-up agitator

Example: $\frac{P_1}{P_2} = \left(\frac{0.5}{1}\right)^5$

P_1: Power of the original agitator
P_2: Power of the scaled-up agitator
D_1: 0.5 m
D_2: 1 m

How to Calculate Power Required for Agitator

Definition: The power required for an agitator is calculated based on the fluid properties and agitator dimensions.

Formula: $P = N_p \rho N^3 D^5$

P: Power required
N_p: Power number
$\rho$ : Density of the fluid
N: Rotational speed (RPM)
D: Diameter of the agitator

Example: $P = 0.6 \times 1000 \times 120^3 \times 0.6^5$

N_p: 0.6
$\rho$ : 1000 kg/m³
N: 120 RPM
D: 0.6 m

Power Number Formula for Agitator

Definition: The power number is a dimensionless number used to characterize the power consumption of an agitator.

Formula: $N_p = \frac{P}{\rho N^3 D^5}$

N_p: Power number
P: Power required
$\rho$ : Density of the fluid
N: Rotational speed (RPM)
D: Diameter of the agitator

Example: $N_p = \frac{500}{1000 \times 100^3 \times 0.5^5}$

P: 500 W
$\rho$ : 1000 kg/m³
N: 100 RPM
D: 0.5 m