Difficulty: Easy
Correct Answer: H/D greater than 3
Explanation:
Introduction:
Column fermenters, including bubble columns and airlift reactors, are widely used in biochemical engineering for aerobic cultures and gas–liquid reactions. A key geometric parameter is the aspect ratio, defined as the height divided by the diameter (H/D). This ratio influences hydrodynamics, mixing, mass transfer, and oxygen transfer rates. The question asks for the typical H/D used to achieve efficient operation in column reactors.
Given Data / Assumptions:
Concept / Approach:
Increasing the aspect ratio in gas-sparged columns increases bubble residence time and promotes circulation loops, improving gas–liquid mass transfer. An H/D significantly greater than 1 creates a tall, slender reactor that supports better phase contact and mixing at a given superficial gas velocity compared to squat vessels.
Step-by-Step Solution:
Verification / Alternative check:
Design guides and case studies for bubble columns frequently cite H/D ranges from roughly 3 to 10, selected based on gas rate, broth rheology, heat transfer needs, and structural limits. A quick mass transfer check: taller columns at the same gas rate tend to provide higher kLa due to longer bubble paths and increased dispersion, supporting the rule of thumb that H/D should be above 3 for column operation.
Why Other Options Are Wrong:
H/D less than or approximately 1 produces a squat tank, not a column, limiting gas residence time. Ranges between 1 and 3 are transition geometries that may not deliver classical column hydrodynamics at typical gas rates. H/D between 2 and 3 can work in some designs but is below the common column rule of thumb.
Common Pitfalls:
Assuming that higher H/D is always better without considering structural stability, heat removal, headspace, and shear. Also, ignoring broth rheology can lead to overestimation of mixing benefits.
Final Answer:
H/D greater than 3
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