Question

Ex. 1 Size a square rapid-mixing basin, and provide specifications for mixer. The design flow rate is 7300 m®/d. The optimum G and Gt values are 750 s 1, and the Gt value of 20,000 - 30,000. The operating temperature is 10°C, the dynamic viscosity is 1.31 x 10 N:s/m, and the turbine shaft speed is 95 rpm with an impeller having 6 curved blades. Juova bns nisi diala

using FE refrenece maunal

Answer 1

Step 1:

T=Gt/G

T=30000/750= 40sec

Q=7300 m3/day

Q=7300/86400=0.084 m³/sec

V=Qxt

V=0.084x40=3.36 m³

Step 2:

Consider H=1.25W

L=B=W

WXWX1.25W=3.36

1.25W³=3.36

W=1.39m

Consider it as 1.40m L=B=1.40M

D=1.25x1.4=1.75m

D.T=Volume/(Q)=1.4x1.4x1.75/0.084=40.83 sec

This design is satisfying the requirement

Step 3:

Now calculate the diameter of the impeller

P=G²$\mu$V

P=750x750x1.31x10^-3x1.4x1.4x1.75

P=2528Watts

N=95 rpm=95/60=1.58 rps

P=Kt$\rho$N³D⁵

2528=4.80x1000x1.58³xD⁵

D=0.668m

Consider

Diameter of impeller=0.7m