What is the formula for the maximum air passing per second at maximum efficiency?

For turbines, fans, and similar systems, the efficiency in terms of air passing per second, often referred to as the flow rate, is not represented by a universal formula because it depends on specific system characteristics, such as design, size, and operating conditions. However, in general, the maximum efficiency of such a system, where air flow is a concern, aligns with the concept of the Betz limit or Betz’s law for wind turbines. This is more about the theoretical limit to the efficiency with which a wind turbine can convert the kinetic energy in wind into mechanical energy.

The Betz Limit, though specific to wind turbines, gives us an idea related to efficiency calculations for systems dealing with air flow. It dictates that no turbine can capture more than 59.3% of the kinetic energy of the wind. The actual calculation for efficiency or the maximum air passing through a turbine per second would depend on variables such as the speed of the air (wind speed) and the cross-sectional area faced by the turbine, among others.

In practical terms, finding the maximum air passing per second at maximum efficiency for devices like fans or ventilation systems would involve looking at the device specifications provided by the manufacturer, including maximum airflow rates (often measured in CFM – cubic feet per minute or m^3/s – cubic meters per second for metric measurements) at certain specified efficiency levels.

To calculate the airflow rate, if not directly provided, you would generally need to know:

– The power input to the