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Pneumatic Transport

Power Requirement of blower

Dilute Phase Conveying

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Section summary
1. Estimation of the power required for conveying bulk solids in dilute phase
2. Example of calculation of the power required for dilute phase conveying
3. Other formula


1. Estimation of the power required for conveying bulk solids dilute phase

The required power of a blower used in dilute phase pneumatic conveying can be calculated with the following estimation [Mills] :

Power = 165*ma*ln(P4/P3)

Blower power requirement dilute phase pneumatic conveying

Pressures are absolute

Please note that this formula is not for design but only to have an idea in pre-project or during troubleshooting. This estimation is valid for dilute phase pneumatic conveying systems.

2. Example of calculation of the power required for dilute phase conveying

A blower has to deliver 400 Nm3/h of air at 0.35 bar g, from air at atmospheric pressure and 20°c, for conveying powder.

STEP 1 : calculate the air mass flow rate

The compressor is to deliver 400 Nm3/h of air. Normal conditions are 101325 Pa and 20°c, at this pressure gas ideality is mostly verified thus the specific gravity is PM/RT/1000 = 1.205 kg/m3. This gives a mass flowrate of 400*1.205 = 482 kg/h=0.1338 kg/s.

STEP 2 : calculate the air conveyor blower power

Outlet pressure = 0.35 bar g = 136325 Pa abs
Inlet pressure = 0 bar g = 101325 Pa abs
Power = 165 * 0.1338 * ln 136325/101325 = 6.55 kW

The pneumatic conveying blower needs to deliver 6.55 kW. Warning : this is not including efficiencies that need to considered on top of that.

3. Other formula

Other calculation method, more precise and general for compressors and for higher pressure can be found on Process Engineers Tools website.

 

Source
[Mills] Pneumatic Conveying Design Guide 2nd edition, David Mills, 2004, Elsevier, page 134