Question

One stirred tank type fermenter is scaled up from a volume 80 L to 1000 L. The power per
unit volume is kept same in the large fermenter as in small fermenter. Calculate the ratios of
power input, rpm of the impellers and shear rate between the large and small fermenter.​

Answer 1

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Energy input in fluid mixing

The quality of mixing depends on the effective energy input by unit mass or unit volume of fluid. It has been found, for example, that the rate of oxygen transfer in aerated fermentors equipped with turbine mixers is nearly proportional to the net mixing power input per unit volume of broth (Hixson and Gaden, 1950). The relationship between mixing power and the type, dimensions and operation conditions of the mixer is expressed with the help of several correlations (McCabe and Smith, 1956). Most commonly, the mixing power correlations comprise the following dimensionless groups:

P=mechanical power input to the mixer, w

N=speed of rotation, s−1

d=impeller diameter, m

ρ=density of the fluid, kg.m−3

μ=viscosity of the fluid, Pa. s

g=gravitational acceleration, m.s−2.

The correlations are of the following general form:

Answer 2

Answer:

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Explanation:

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