Vertical-tube evaporators and liquor level: In a vertical tube evaporator, how does increasing the liquor level generally affect the overall heat-transfer coefficient U?
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AIncreases
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BDecreases
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CIs not affected
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DMay increase or decrease depending on the feed
Answer
Correct Answer: Decreases
Explanation
Introduction / Context:Evaporator performance depends on boiling regime, circulation, and film characteristics. Vertical-tube natural-circulation units rely on density differences to drive flow; liquor level influences hydrostatic head and boiling intensity, thereby impacting heat transfer.
Given Data / Assumptions:
- Vertical tube natural-circulation evaporator (not forced circulation).
- Comparable steam-side conditions.
- Liquor properties within typical ranges.
Concept / Approach:Higher liquor levels increase static head, suppressing bubble growth and reducing circulation velocities through the tubes. This weakens convective boiling and can thicken liquid films, decreasing the overall heat-transfer coefficient U. Conversely, lower levels enhance circulation and boiling vigor, raising U (up to flooding or entrainment limits).
Step-by-Step Solution:Recognize that U in boiling combines film coefficients and resistances (liquid-side dominates).Increasing level → higher hydrostatic head → reduced vapor lift and circulation.Reduced circulation → lower h_liquid → lower U overall.Hence select 'Decreases'.
Verification / Alternative check:Operating data often show improved U at optimized, lower liquid heights due to stronger natural circulation, with U falling as level is raised above design.
Why Other Options Are Wrong:'Increases' contradicts the usual natural-circulation behavior.
'Not affected' ignores hydrodynamics; 'may increase or decrease' is noncommittal and not representative for this standard case.
Common Pitfalls:
- Confusing vertical-tube natural circulation with falling-film evaporators, where film behavior differs.
- Overlooking foaming or entrainment at too-low levels, which has other drawbacks.
Final Answer:Decreases