Please write down the basic equation for flow rate in a rotameter And explain the relationship between flow rate and rotor height?

The basic equation for (water vapor) flow rate is: Q = αf√(2gV(ρ1–ρ0)/(Ffρ0)). Here, Q represents the volumetric flow rate, in m3/s; α is the flow coefficient; f is the area of the gap between the maximum cross-section of the rotor and the duct, in m2; g is the acceleration due to gravity, in m/s2; v is the volume of the rotor, in m3; ρ1 is the density of the rotor material, in kg/m3; ρ0 is the density of the fluid, in kg/m3; and F1 is the maximum cross-section of the rotor, in m2. Once the shape of the rotor is determined, the value inside the square root in the above equation remains constant. When the Reynolds number exceeds a certain threshold value, α can also be considered a constant. In this way, Q is proportional to f. The circular tube of the rotameter is tapered; as the float rises, the area of the annular gap between them increases, following a basically linear relationship. Therefore, the relationship between the flow rate Q and the float height h is also approximately linear.