If the reactor is to be scaled up at constant gassed power per volume (constant Pa/V,) and the volumetric flow rate of sparged air (Q, m³/min) will be scaled proportionally with volume, what will be the ratio of k,a in the large reactor to k̟a in the small reactor? You may assume that geometric similarity is maintained.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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If the reactor is to be scaled up at constant gassed power per volume (constant Pg/Vr) and the volumetric flow
rate of sparged air (Q, m³/min) will be scaled proportionally with volume, what will be the ratio of ka in the
large reactor to ka in the small reactor? You may assume that geometric similarity is maintained.
Transcribed Image Text:If the reactor is to be scaled up at constant gassed power per volume (constant Pg/Vr) and the volumetric flow rate of sparged air (Q, m³/min) will be scaled proportionally with volume, what will be the ratio of ka in the large reactor to ka in the small reactor? You may assume that geometric similarity is maintained.
You are scaling up a sparged stirred tank bioreactor from 10 L to 10,000 L. The volumetric O2 transfer coefficient
kla can be estimated using the following empirical correlation:
P.
0.4
6,
kla = k
(v3)0.5 N0.5
where k = empirical constant
Pg = power requirement in gassed bioreactor (kW)
V, = bioreactor volume (m³)
Vs = superficial gas exit speed (m²/min)
N = rotational speed of the agitator (rad/min)
%3D
Transcribed Image Text:You are scaling up a sparged stirred tank bioreactor from 10 L to 10,000 L. The volumetric O2 transfer coefficient kla can be estimated using the following empirical correlation: P. 0.4 6, kla = k (v3)0.5 N0.5 where k = empirical constant Pg = power requirement in gassed bioreactor (kW) V, = bioreactor volume (m³) Vs = superficial gas exit speed (m²/min) N = rotational speed of the agitator (rad/min) %3D
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