What is the air volume of a 15kW Roots blower in cubic meters**
**Accurate Conversion of Power and Performance**

**1. Core influencing factors of Roots blower airflow**
The air volume (in m3/min) of a 15kW Roots blower is not a fixed value, but is determined by the following parameters:
-* * System pressure * *: Air volume is inversely proportional to pressure (typical range: 0.1~0.8 bar);
-* * Speed * *: Usually 1500~3000 rpm, increasing the speed by 10 can increase the air volume by 8~12;
-* * Impeller specification * *: The fluctuation rate of air flow in a three bladed fan is reduced by 30 compared to a two bladed fan;
-Volume efficiency: The industry average level is 85-92.
**2. Calculation of air volume under actual working conditions**
Taking a certain brand's 15kW three blade Roots blower as an example:
-* * Standard operating conditions * * (20 ℃, 1atm):
-When the pressure is 0.5 bar, the air volume is approximately 25 m3/min;
-When the pressure is 0.8 bar, the air volume drops to 18 m3/min;
-* * Correction formula * *:
\[
Q=\ frac {60 \ times P \ times \ eta-v} {1000 \ times \ Delta P} \ times \ frac {T {Standard}} {T {Actual}}}
\]
Among them:
-(Q): Actual air volume (m3/min)
-(P): Motor power (15kW)
-(\ eta-v \): Volumetric efficiency (taken as 0.88)
-\ (\ Delta P \): Differential pressure (bar)
**3. Engineering practice of increasing air volume**
-* * Variable frequency transformation * *: Installing a frequency converter can expand the air volume adjustment range to ± 20 at rated power;
-* * Import optimization * *: Adopting a horn shaped air inlet can reduce turbulence loss and increase air volume by 3-5;
-Cooling system upgrade: Oil cooled structure allows for a 5-8 increase in speed compared to air-cooled structure.