To calculate the Fan Velocity (Vfan):
\[ V_{fan} = \frac{CFM}{\left(\pi \left(\frac{D}{12}\right)^2 / 4\right) / 60} \]
Where:
Fan velocity describes the speed at which a fan moves air through its blades. It is a crucial parameter in the design and selection of fans for various applications, including ventilation, cooling, and air circulation. Higher fan velocity indicates a more powerful fan capable of moving air faster, which can be essential in environments requiring efficient air movement.
Let's assume the following values:
Using the formula:
Step 1: Calculate the area of the fan:
\[ \text{Area} = \pi \left(\frac{D}{12}\right)^2 / 4 = \pi \left(\frac{24}{12}\right)^2 / 4 = \pi \times 4 / 4 = \pi \]
Step 2: Calculate the fan velocity:
\[ V_{fan} = \frac{2000}{\pi} / 60 \approx 10.61 \text{ ft/s} \]
The Fan Velocity is approximately 10.61 ft/s.
Let's assume the following values:
Using the formula:
Step 1: Calculate the area of the fan:
\[ \text{Area} = \pi \left(\frac{D}{12}\right)^2 / 4 = \pi \left(\frac{18}{12}\right)^2 / 4 = \pi \times 2.25 / 4 = \pi / 1.7778 \]
Step 2: Calculate the fan velocity:
\[ V_{fan} = \frac{1500}{\pi / 1.7778} / 60 \approx 7.96 \text{ ft/s} \]
The Fan Velocity is approximately 7.96 ft/s.