Table 8 Parameters affecting filter muddy water head loss and filtration efficiency.

From: Establishment of predictive models for head loss and filtration efficiency of pontoon mesh rotary filter based on dimension analysis

Variable type

Name

Symbol

Unit

Dimensions

Dependent variable

Head loss/filtration efficiency

hw/η

m/–

[L]/–

Independent variable

Aperture of filter screen

d

m

[L]

 

Flow rate

Q

m3 s−1

[L3T−1]

 

Filter area

A

m2

[L2]

 

Gravitational acceleration

g

m1 s2

[LT−2]

 

Connecting pipe diameter

D

m

[L]

 

Filter length

L

m

[L]

 

Density of water

ρ

kg1 m3

[ML−3]

 

Dynamic viscosity

μ

pa1 s1

[ML−1 T−1]

 

Velocity of connecting pipe

v

m1 s−1

[LT−1]

 

Average velocity across filter mesh

vf

m1 s−1

[LT−1]

 

Sand content

S

g1 L−1

[ML−3]

 

Rotation speed

n

rad1 s−1

[T−1]