FACTORS AFFECTING THE VALUES OF
VOLUMETRIC MASS TRANSFER COEFFICIENTS (kLa) IN FERMENTATION SYSTEMS
FACTORS AFFECTING THE VALUES OF MASS TRANSFER COEFFICIENTS IN FERMENTATION SYSTEMS •Various operating parameters and physico-chemical properties of fermentation broth affects mass transfer rate, which in turn show effect on kLa.
Factors affecting the value of kLa are: 1. Bubble size
8.Pressure
2.Gas Hold-up 9. Antifoaming agents
3.Gas Velocity 10. Presence of cells 4.Type of gas sparger
11. Surface active solutes 5.Type of agitation 6. Power input to agitator
7.Temperature
1.Bubble size
•Bubble size has great effect on kLa as the gas is sparged discretely into the fermentation broth in the form of small bubbles. •Small bubbles have high interfacial area. No.of bubbles
Bubble volume (mm3)
Bubble Diameter (mm)
Surface Area (mm2)
Increase in area (%)
1
4.19
2
12.57
-
2
2X2.1
1.59
2X7.91
26.0
3
3X1.4
1.39
3X6.0
44.2
Effect of bubble size on interfacial area and various other parameters Bubble Dia
a
kL
Bubble rise velocity
Gas Holdup
Internal recirculation
Bubble rigidity
Big
Small
High
High
Less
Yes
No
Small
High
Small
Low
High
No
Yes
2. Gas Hold-up
Gas Hold-up is the volume fraction of the gas held up in the total volume comprising the liquid and the held-up gas together. e= VG/(VG+VL) = VG/V Higher values of e indicates higher amount of gas held up in the system. Smaller bubbles (dB <<1mm) can be a nuisance in fermenters. Very small bubbles will transfer the oxygen content in them to the liquid broth quickly, and what is remaining is only nitrogen which does not contribute any thing, except showing higher gas hold-up.
Though gas hold-up may not be directly proportional to the mass transfer rates, kLa values decrease with decreasing bubble diameter less than 2 mm.
3. Gas Velocity
•The Superficial gas velocity (uG) is the linear velocity of gas obtained by dividing the volumetric flow rate of the gas with the cross-sectional area of vessel. •Mass transfer rates increases with uG as: P k L a 2 X10 3 V
0.7 0.2 uG
•If gas flow rate is very high, it may not allow the oxygen to dissolve in the liquid, and hence may escape in the outlet. •In agitated vessels, the effect is compounded by the agitator speed also. •For higher gas flow rates, the gas-liquid is poor and most of the gas is unutilized, which results impeller flooding. •Impeller flooding is the situation, where the gas is being supplied to the system at a rate which the impeller is not able to disperse.
•To over come this, either gas flow rate should be reduced or the agitator speed is to be increased.
4. Type of Gas Sparger
The effect of spargers on mass transfer has not been studied extensively. Hassan and Robinson (1977) reported that sparger design did not have much effect on gas-liquid dispersion in aerated aqueous phases. 5. Type of Agitator Type of agitator and agitator design for effective mixing shows great effect on mass transfer rates. Types of agitators used for gas-liquid mass transfer are:
1.
Propeller
2.
Turbine
3.
Paddle
4.
Vaned discs
- better gas-liquid ing
5.
Anchor
-highly viscous liquids and slurries
6.
Helical Screws -highly viscous semi-solid masses.
- better gas-liquid ing
Types of Agitators
Mixing patterns
6. Power input to Agitators
The effect of power input on a as: P 0.4 0.2 0.5 rL u V a 1.44 ut L0.6
The interfacial area varies as :
(P/V)0.4.
The power input is also related to agitator speed through the power number (NP) as: NP = P/(r n3 Di5) or
P = NP r n3 Di5
The dependence of power number on the agitator speed varies based on the type of flow.
P a n2 for laminar regime P a n3 for turbulent regime
7. Temperature
•
The temperature has two effects on mass transfer: 1.
It increases the diffusivity of the gas into the liquid.
2.
Increases the value of kLa.
•
However, increase in the temperature decreases the solubility of gas and hence reduces C*O2,L.
•
So, (C*O2,L-CO2,L) will reduce and there by it reduces mass transfer.
•
In the range of 10-400C, temperature rise increases the mass transfer.
•
But temperature > 400C, the mass transfer will decreases.
8. Pressure Pressure affects the mass transfer by increasing the solubility of the gas in the liquid phase, which is given by Henry’s law:
pO2,G = H X C*O2,L The partial pressure and total pressure of the system are related by:
pO2,G = pT X yO2 Thus, a total pressure pT increases, pO2,G increases, and hence C*O2,L increases, which in turn will increase driving force.
Generally, no high-pressure systems are used in fermentation processes.
9. Antifoaming agents
• Most of the fermentation broths contains proteins which causes foaming. • Foaming is an unineviatble nuisance in fermentation broths, and should be avoided. • Otherwise, • It may choke the pipelines, measuring instrument lines • It may harbour unnecessary microorganisms to thrive and thrash the fermentation subsequently. • The choked pipe lines are difficult to be cleaned.
Foaming can be avoided by using- Mechanical foam breakers or antifoaming agents Use of Antifoaming agents reduces coalescence of smaller bubbles into larger bubbles. Thus they increase interfacial area and hence mass transfer.
10. Existence of cells
Oxygen transfer (or mass transfer) in fermentation broths is greatly influenced by the presence of cells by two ways: 1.Physical Influence 2.Quantitative influence
In physical influence, cells interfere in the break-up and make-up of the gas bubbles by influencing the surface properties. As cells get absorbed on the gas-liquid interface, cells do not allow smaller bubbles to coalesce into bigger bubbles, which increase the interfacial area and in turn mass transfer. In quantitative influence, the cells absorb oxygen during the process which increases the driving force and hence oxygen transfer. The influence of cells in enhancing the mass transfer depends on:
1. Type of cells 2. Morphology of cells 3. concentration of cells.
11. Surface active solutes
The surface active solutes, which are hydrophobic in nature - alters the surface characteristics of the gas-liquid interface. - do not allow the gas bubbles to coalesce. This results in increased interfacial area. The concentration of the solute could very low (0.05%), but its effect in increasing the surface area could be large. Since, the concentrations of solutes are very low, they do not affect the interfacial tension to any appreciable or measurable extent.