Mixing tank internals: as a preliminary design rule for baffled cylindrical vessels, the total baffle width is typically selected as what fraction of the tank diameter?
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A0.1–0.12
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B0.4–0.5
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C0.45–0.6
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D0.2–0.45
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E0.02–0.05
Answer
Correct Answer: 0.1–0.12
Explanation
Introduction / Context:Baffles suppress vortex formation and convert swirling into efficient top-to-bottom circulation in stirred tanks. Correct baffle sizing is essential to achieve target mixing times and reliable scale-up. A common rule-of-thumb specifies baffle width as a fraction of tank diameter.
Given Data / Assumptions:
- Baffled, cylindrical stirred tank with four flat baffles.
- General-purpose mixing (not special viscous or gas–liquid exceptions).
- Looking for standard preliminary proportioning.
Concept / Approach:Standard practice sets individual baffle width at roughly 0.1–0.12 of the tank diameter. This provides strong flow disruption without excessive blockage or power draw. Smaller baffles may permit vortexing; much larger baffles can increase power requirements and hinder flow around the tank periphery.
Step-by-Step Solution:
Define d = tank diameter.Choose baffle width w ≈ 0.1 d to 0.12 d.Verify against impeller type and Reynolds number; adjust slightly if needed.Accept 0.1–0.12 as the default design range.Verification / Alternative check:Vendor guidelines and mixing handbooks align with w/d ≈ 0.1–0.12 for standard turbulent mixing.
Why Other Options Are Wrong:
- 0.2–0.45 or higher values are unusually large and increase blockage and power.
- Very small values (0.02–0.05) are ineffective at suppressing swirl.
Common Pitfalls:Using the same baffle width for highly viscous systems; not accounting for nozzle intrusions or internals that already impede swirl.
Final Answer:0.1–0.12