PART 2 - Transport Phenomena in Bioprocess System Flashcards
Determination of Oxygen Transfer rates
Several phases are involved in the bioprocesses: the substrates, nutrients, and products must be transferred from one phase to the other therefore, _____________________ may often become the limiting step of the overall process rate and be a relevant factor in scale-up.
mass transfer between phases
__________________ is used to improve mass transfer and also to ensure homogeneous distribution of the nutrients in the liquid phase.
This is true in both aerobic (Oxygen) and anaerobic (methane/CO2) systems.
Mixing, by aeration and agitation,
Oxygen is one of the most important nutrients for aerobic cells that need ____________________ in the broth for maintenance, growth and production of bioproducts.
oxygen dissolved
Due to its low solubility in broths, which are usually aqueous solutions (approximately 9 ppm at 25Β°C and 1 atm in pure water), oxygen must be ______________________ (air or oxygen) with the purpose of achieving acceptable productivities, independent of the physical operational modes (batch, semibatch, and continuous cultures).
continuously supplied by a gas phase
Frequently, in aerated bioreactors, the critical limiting factor to providing the optimal environment is the:
oxygen transfer rate (OTR)
Generally speaking, the experimental data can be accurately fitted to obtain the relations corresponding to ____.
Since the dimensionless groups are dimensionally consistent, the correlations can be computed and stated using a variety of techniques, including the __________________________.
ππΏ
Buckingham Pi theory
What are the factors influencing Oxygen Transfer Rate
- Interfacial Area
- Mass Transfer Coefficient
- Concentration Gradient
Three dimensionless numbers play a significant role in the mass transfer process:
(1) Sherwood Number,
(2) Schmidt Number, and
(3) Grashof Number.
The mass-transfer coefficient ππΏ is dependent on the: (2)
- vesselβs geometrical configuration and
- the physical properties of the fluids
This is a dimensionless number that represents the ratio of the convective mass transfer rate to the diffusive mass transfer rate. It is defined as:
Sherwood Number (Sh)
Sherwood Number
In bioprocessing applications especially during aeration, l will be equivalent to the _______________________.
diameter of the air bubbles.
A high Sherwood number indicates that ____________ is the dominant mode of mass transfer, while a low Sherwood number indicates that ____________ is the dominant mode.
convection
diffusion
This describes the relationship between mass diffusivity over momentum diffusivity or vice versa.
Hence, this dimensionless number is most applicable to cases that simultaneously involve mass and momentum diffusion and can be expressed as:
The Schmidt number (Sc)
In bioprocessing applications, the Schmidt number is often used to design and optimize processes that involve mass transfer, such as aeration, fermentation, and filtration.
For example, this number is used to determine the ___________________________________.
rate of oxygen transfer from the air to a culture of cells in a fermenter.
A _______Schmidt number indicates that momentum transfer is more important than mass transfer, while a ________ Schmidt number indicates that mass transfer is more important than momentum transfer.
In general, the Schmidt number is a useful tool for understanding and predicting the behavior of mass transfer processes in bioprocessing.
high
low