“…The average separation efficiency, E , is defined as the ratio between gas flow rate at the pump intake and total gas flow rate. It was experimentally showed by Vieira, 8 and Vieira et al 9 and Vieira et al 10 that the separation efficiency can be written as a function of the Froude mixture number, Fr m , and the no‐slip void fraction, λ . The mixture Froude number is provided by Equation ) 19 and the no‐slip void fraction, λ , is defined as the ratio between air volume flow rate by mixture volume flow rate, so λ = Q g / Q . where ρ is the density, j m is the mixture velocity, D H is the hydraulic diameter (difference between the outer and inner diameter of the annulus), g is gravity and θ is the pipe slope, 1 and 2 represents the liquid and gas phases, respectively.…”