Question Bank • QB_SUB_DFE_HEX_002 NAT • 2 Marks

Section 7: Dairy and Food Engineering

Heat Exchangers: LMTD & NTU-Effectiveness Methods

Subtopic: NTU-Effectiveness method definitions

Question Statement:

In a counterflow heat exchanger where heat capacity rates are balanced ($C_{\text{min}} = C_{\text{max}}$), if the number of transfer units is $NTU = 3.0$, the thermal effectiveness $\varepsilon$ is:

Answer Key:

0.75

Step-by-Step Solution & Explanation

When $C_r = 1.0$ in counterflow: $\varepsilon = \frac{NTU}{1 + NTU} = \frac{3.0}{1 + 3.0} = \frac{3.0}{4.0} = 0.75$
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