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Axial inflow factor

B1. Naval Architecture

Definition

Ratio relating mean axial velocity at propeller disk to ship speed.

The axial inflow factor is the fraction a that relates the mean axial velocity at the propeller disk to the free stream in actuator-disk momentum theory: the disk velocity is V_A(1 + a) and the slipstream far downstream reaches V_A(1 + 2a). It expresses the induced acceleration the working disk imparts to the inflow, and the ideal (Froude) efficiency of a lightly loaded disk follows as eta_i = 1 / (1 + a). The factor rises with thrust loading coefficient C_T, since a heavier-loaded disk accelerates its inflow more, which is why high disk loading caps achievable propulsive efficiency and motivates large, slow-turning wheels.

Source: Rankine-Froude actuator-disk (axial momentum) theory