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Head loss analysis of airlift pipe

Prj Kandy

 H =2  7  0  0  m m 

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L=2053+1371+826+475=4725mm

L 4.725 Straight pipe length [m]

ρ  1.225 Fluid density expressed in [kg/m3] of the air

H 2.7 theoretical swing (worse conditions) [m]

Pm 270 Flow pression [mbar] (depend of the theoretical swing)

Δp3  10 Pressure drop due to the airblow filter [mbar]

Pc=Pm+ Δp3  280 Service pression [mbar]

d = (0.076-0.006 )= 0,07 Internal diameter of the pipe [m]

A 0,38465 Pipe section [m^2]

We use these data for the choice of the airlift and the flow from the catalog of the supplier

Q air  119 Air flow [m^3/h]

Q air  0,033055556 Air flow [m^3/sec]

Q air  119000 Air flow [l/h]

Q air  33,05555556 Air flow [l/sec]

v 0,08593671 Speed in the pipe [m/s]

μ  0,000017 Viscosity of air at 20°C (standard conditions) [Kg/m*sec]

Re= (v*d*ρ)/μ  4,33E+05 Reynolds Number in the pipe

є  0,0025 roughness 

є/d  0,035714286 Relative roughness 

λ  0,06 Pipe friction factor

R=λ*ρ*(v^2/2)*d= 0,018998216 Unitary pressure drop expressed in [mbar/m]Δp1=ΣR*L=  89,76657268 Pressure drop due to straight lengths

ξ  0,7 Coefficient which depends on the fitting type

Z=ξ*ρ*(v^2/2)=  3,166369407 Pressure drop of the single fitting expressed in [mbar]

Δp2=ΣZ=  9,49910822 Pressure drops of single localized resistances

Δp=Δp1+Δp2=  99,2656809 Pressure drop of the entire pipe (mbar)

We use the following diagram (moody diagram) to choice the friction factor of the pipe in function of the

relative roughness and the Reynolds number

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We use the following diagram to choose the viscosity of the air

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in the following table there are some fitting and their special coefficient (ξ) 

Air viscosity in

different type of

temperature

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