Agitation Scaleup

Scaleup a vessel from small scale to large scale

Base Vessel

rpm

Scaled Up Vessel

Fluid Properties

cP

Results

ParameterBase CaseScaled Case
Vessel Volume196,000 l785,000 l
Vessel Diameter5 m10 m
Aspect Ratio21
Impeller Diameter1 m2 m
Flow Number0.720.72
Power Number5.55.5
Shaft Speed250 rpm125 rpm
Tip Speed13.1 m/s13.1 m/s
Reynold's No4.17e+68.33e+6
Pumping Rate180,000 l/min720,000 l/min
Power Consumption398 kW1,590 kW
Motor Size497 kW1,990 kW
P/V2.03 kW/m³2.03 kW/m³
Bulk Velocity0.153 m/s0.153 m/s

Governing Equation

This calculator finds agitation scale up factors for a vessel given the dimentions and operating conditions of a base vessel.


Tip Speed

vt=πdimNv_{t} = \pi d_{im} N

Reynolds Number

Re=dim2Nρ/μRe = d_{im}^{2} N \rho / \mu

Pumping Rate

Q=NqNdim3Q = N_{q} N d_{im}^{3}

Power Consumption

P=NpρN3dim5P = N_{p} \rho N^{3} d_{im}^{5}

Bulk Velocity

bb=4Q/πdvb_{b} = 4 Q / \pi d_{v}

Definitions

vt=v_{t} =
Tip speed
dim=d_{im} =
Impeller diameter
N=N =
Shaft speed
ρ=\rho =
Fluid density
μ=\mu =
Fluid viscosity
Nq=N_{q} =
Impeller pumping number
Np=N_{p} =
Impeller power number
vb=v_{b} =
Bulk velocity
dbv=d_{bv} =
Vessel diameter