Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
The Fermenter (Bioreactor) is a specialized vessel designed to provide a controlled environment for the growth of microorganisms or animal/plant cells to produce specific metabolites or biomass.
The Agitator/Impeller system is responsible for mixing the culture broth. It ensures a uniform distribution of nutrients and prevents the settling of cells. The mixing efficiency is often related to the Reynolds number ().
The Sparger is a device (usually a ring with small holes) located at the bottom of the vessel that introduces sterile air or oxygen into the medium. It breaks the gas into small bubbles to increase the surface area for gas exchange.
Baffles are metal strips attached to the inner wall of the fermenter. Their primary function is to break the circular flow (vortex) created by the impeller and convert it into turbulent flow for better mixing.
The Cooling Jacket or internal coils are used to regulate the temperature. Since microbial growth is an exothermic process, the heat generated must be removed to maintain the optimal temperature ().
Probes and Sensors are critical for real-time monitoring. Common sensors include probes, Dissolved Oxygen () sensors, and temperature sensors (thermocouples) to maintain homeostasis.
Headspace refers to the empty volume left at the top of the fermenter (usually of the total volume) to allow for foaming and gas exchange without clogging the exhaust filters.
Sterilization is achieved using high-pressure steam. The vessel must be designed to withstand pressures typically around at .
📐Formulae
where is the Oxygen Transfer Rate, is the volumetric mass transfer coefficient, is the saturated dissolved oxygen concentration, and is the actual dissolved oxygen concentration.
where is the Dilution Rate (), is the flow rate of the medium (), and is the culture volume ().
to calculate the working volume of a cylindrical fermenter.
representing the Gassed Power () requirement in aerobic fermentation.
💡Examples
Problem 1:
A cylindrical fermenter has a radius of and a height of . If the vessel is filled to of its total height to allow for headspace, calculate the working volume of the medium. (Use )
Solution:
First, calculate the total volume of the fermenter: Now, calculate the working volume at capacity: Since , the working volume is .
Explanation:
The working volume is the actual amount of liquid medium used, which is always less than the total volume to provide 'headspace' for gas expansion and foam formation.
Problem 2:
In a continuous culture fermenter, the medium is being fed at a flow rate of into a vessel with a fixed culture volume of . Calculate the dilution rate ().
Solution:
The formula for dilution rate is: Substitute the given values:
Explanation:
The dilution rate represents the number of volumes of medium passing through the fermenter per unit time. It is the reciprocal of the residence time.