Difficulty: Easy
Correct Answer: 0.80
Explanation:
Introduction:
The log-mean temperature difference (LMTD) method uses a correction factor FT to account for deviation from true countercurrent flow. Very low FT values suggest poor thermal driving force and an oversized exchanger. Designers therefore impose a minimum acceptable FT.
Given Data / Assumptions:
Concept / Approach:
For robust designs, a common rule is FT ≥ 0.75 to 0.8. Below this, the exchanger area required becomes excessive and performance is sensitive to fouling/variability. Choosing a slightly conservative threshold (0.80) avoids marginal designs while providing reasonable compactness.
Step-by-Step Solution:
Compute true ΔT_lm,true = FT * ΔT_lm,countercurrent.If FT is too low, effective driving force shrinks, area A = Q /(U * ΔT_lm,true) grows rapidly.Adopt a practical minimum FT ≈ 0.8 for design selection.
Verification / Alternative check:
Vendor sizing tools and classic references flag FT < 0.75–0.8 as undesirable; reconfigure passes or choose a different arrangement to raise FT.
Why Other Options Are Wrong:
Common Pitfalls:
Ignoring condensation/boiling which require different considerations; forgetting that increased number of shell passes can improve FT but may raise pressure drop.
Final Answer:
0.80
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