CheCalc

Chemical engineering calculations to assist process, plant operation and maintenance engineers.

Agitation Scaleup Calculation

Does the scaleup from smaller to larger scale based on criteria like equal tip speed, power per unit volume, equal Reynold's number, equal shaft speed.
Reactor Geometry
Agitated Reactor
Small Scale Reactor

mm
mm
rpm
Fluid Properties

Kg/m³
cP
times
Result
Scale-up Ratio, R = (V2/V1)1/3

Shaft speed scaling is done based on following relation:

N2 = N1 . (1/R)n

The value of n, called the scaling exponent, depends on the physical result to be scaled.

Units Base Case Scale up
Volume V m3 400 300
Vessel Diameter T mm 400 300
Liquid Level Z mm 400 300
Agitator Diameter D mm 400 300
Equivalent Diameter Teq = (4.V/π)1/3 mm 400 300
Scaling Exponent n 2
Shaft Speed N rpm 400 300
Reynold's No. Re = D2.N.ρ/μ
Tip Speed π.D.N m/s
Flow Number Nq
Pumping Rate Q = Nq.N.D3 m3/s 400 300
Power Number Np
Power Drawn P = Np.ρ.N3.D5 kW 400 300
Power/ Volume P/V kW / m3 400 300
Froude Number Fr = N2.D/g
Bulk Velocity Vc = 4.Q/(π.Teq2) m/s 400 300
Scale of Agitation 400 300