We make an experiment with five double-impeller underwater aeration machines which have different powers for reducing the consumption of energy and avoiding excessive aeration

and we test the aeration speed of every aeration machine and the dissolved oxygen concentrations of three of them. when they have different rotate speed; According to the experimental data

on the mathematical statistics of linear regression analysis method

we can analyse the relationship of Aeration speed

Rotate speed

and oxygen utilization coefficient

still further conduct the relationship of Rotate speed and Oxygenate speed

compare with the experiment data.. It turned out that: although it has deviation between the mathematical model of the relationship of oxygen utilization coefficient and rotate speed and the variation tendency comes from the experiment

but from the calculation value

when it meetings 800≤n≤1450

it can be discovered that the most relative bias between the calculation value and the value comes from experiment δmax＜0.082 through calculation. We can conclude that the relational expression between the Rotate speed conducted and Oxygenate speed could exactly response the relationship between the Rotate speed and the oxygenate speed

and it can be the theoretical basis and foundation of the control for the aeration machine.