FE Exam Heat Transfer | Counter Flow Heat Exchanger – LMTD and Overall Heat Transfer Coefficient

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🧠 FE Exam Prep | Heat Exchangers – Solving for Overall Heat Transfer Coefficient (U)

In this video, we walk through a real-world heat exchanger problem:
Hot oil at 212°F enters a well-insulated exchanger and is cooled by water flowing from 68°F to 113°F. Given mass flow rates and specific heats for both fluids, plus the total heat transfer area, you’ll solve for the **overall heat transfer coefficient, U**.

This problem uses the *log mean temperature difference (LMTD)* method — a key tool in your FE exam toolbox.

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✅ You’ll Learn How To:

Use energy balance to determine the total heat transferred
Apply the LMTD method correctly for a counterflow setup
Convert all units (Btu, lbm, °F) cleanly and consistently
Solve for $U$ using the rearranged heat exchanger equation

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📘 Topics Covered in This Video:
• Heat exchanger energy balances
• Log mean temperature difference (LMTD)
• Overall heat transfer coefficient (U)
• Btu/hr unit consistency in thermal calculations

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💡 Why This Matters:
Heat exchanger questions on the FE exam test both conceptual understanding and accurate application of energy equations. This walkthrough shows you exactly how to compute *U* — and what each term physically represents.

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