Calculation formula for air volume of Roots blower
introduction
The air volume calculation of Roots blower is an important part of equipment selection and operation management. Accurate air volume calculation helps ensure that the fan can meet production needs while avoiding energy waste. This article will provide a detailed introduction to the calculation formula and application of Roots blower air volume, helping readers master this key skill.
Definition of Roots blower air volume
Airflow refers to the volume of gas passing through a fan per unit time, usually expressed in cubic meters per minute (m3/min) or cubic meters per hour (m3/h). The size of the air volume directly affects the conveying capacity and efficiency of the fan.
Calculation formula for air volume
The formula for calculating the air volume of Roots blowers is usually based on parameters such as fan speed, rotor diameter, and rotor length. The basic formula is as follows:
\[ Q = \frac{V \times n \times \eta}{60} \]
Among them:
-Q is the air volume (m3/min)
-(V) is the volume of gas discharged per revolution of the rotor (m3/rev)
-(n) is the fan speed (rpm)
-\ (\ eta \) is the fan efficiency (usually 0.7-0.9)
The meanings of each parameter in the formula
1. * * Volume of gas discharged per rotor rotation (V) * *: This is determined by the diameter and length of the rotor of the fan, and can usually be found in the technical parameter table of the fan.
2. * * Fan speed (n) * *: This refers to the rotational speed of the fan rotor, usually expressed in revolutions per minute (rpm).
3. Fan efficiency (η): This refers to the efficiency of the fan during actual operation, usually ranging from 0.7 to 0.9, depending on the design and manufacturing quality of the fan.
Practical application cases
Assuming that the rotor of a Roots blower discharges a gas volume of 0.1 m3/rev per revolution, with a speed of 1450 rpm and an efficiency of 0.8. According to the above formula, the air volume is calculated as follows:
\[ Q = \frac{0.1 \times 1450 \times 0.8}{60} = 1.93 \, \text{m3/min} \]
This means that the air volume of the fan under the given parameters is 1.93 m3/min.
Factors affecting air volume
1. * * Speed * *: The higher the speed, the greater the air volume. However, it should be noted that excessive rotational speed may lead to a decrease in fan efficiency and an increase in energy consumption.
2. * * Rotor size * *: The larger the diameter and length of the rotor, the larger the volume of gas discharged per revolution and the greater the air volume.
3. Fan efficiency: The higher the efficiency, the greater the air volume. Therefore, fans with high selectivity can improve overall operational efficiency.
conclusion
The formula for calculating the air volume of Roots blower is an important tool in equipment selection and operation management. By accurately calculating the air volume, it can ensure that the fan can meet production needs while avoiding energy waste. In practical applications, users should choose appropriate calculation formulas based on specific parameters and adjust and optimize them according to actual situations.
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