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The Equation of the Mixing Time

According to Eq. 5, the blowing positions should be converted to dimensionless values. In this study, we used the graphic method to making the blowing position dimensionless [10]. Table 2 showed all of the nondimensionalized blowing position.

In this study, Through stepwise regression analyzing of the data, a relationship between H0 and H/D, W, Fr' were found. The equation was described as follows:

Equation (11) was also represented in the following dimensionless form:

Equation (12) clearly indicated the index of every influence factor. The size of the index determined the importance of the factor to H0. It could be seen here that the significant of the influence factor to H0 were in order of the blowing position, the aspect ratio, the modified Froude number and the liquid-gas density ratio. Among them, the blowing position was the most remarkable.

Table 2 The dimensionless of the blowing positions

Positions

Case

Case

Case

Case

Case

Case

Case

Case

A

B

C

D

E

F

H

I

lgH0

2.717

2.665

2.640

2.696

2.682

2.740

2.723

2.820

lgW

0.401

0.196

0.100

0.317

0.263

0.490

0.423

0.800

W

2.517

1.570

1.259

2.076

1.832

3.088

2.651

6.310

 
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