Question Bank • QB_SUB_DFE_CNV_002 MCQ • 1 Mark

Section 7: Dairy and Food Engineering

Convective Heat Transfer & Dimensionless Numbers

Subtopic: Dittus-Boelter correlation exponents

Question Statement:

In the Dittus-Boelter equation $Nu = 0.023 Re^{0.8} Pr^n$ for fully developed turbulent flow in smooth pipes, the exponent $n$ takes the value:

Options:

  • (A) $n = 0.4$ for heating of the fluid and $n = 0.3$ for cooling of the fluid
  • (B) $n = 0.3$ for heating and $n = 0.4$ for cooling
  • (C) $n = 0.5$ for both heating and cooling
  • (D) $n = 0.33$ regardless of heat flux direction

Answer Key:

A

Step-by-Step Solution & Explanation

Dittus-Boelter correlation: $n = 0.4$ when the fluid is being heated ($T_w > T_b$) and $n = 0.3$ when the fluid is being cooled ($T_w < T_b$).
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