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3. A 3 in O.D. aluminum tube (k=133 BTU/h ft°F) has 16 longitudinal fins spaced around its outside surface as shown below. The fins are .06 in thick and extend 2 in from the outside surface of the tube. If the outside surface of the tube wall is at 200F, the surrounding air is at 70°F and the convective heat transfer coefficient is 15 BTU/h ft°F, determine the percent increase in heat transfer for the finned pipe over that for the unfinned pipe. Note: longitudinal fins are rectangular fins that extend along the length of the tube. Figure shows view looking down the tube

3. A 3 in O.D. aluminum tube (k=133 BTU/h ft°F) has 16 longitudinal fins spaced around its outside surface as shown below. The fins are .06 in thick and extend 2 in from the outside surface of the tube. If the outside surface of the tube wall is at 200F, the surrounding air is at 70°F and the convective heat transfer coefficient is 15 BTU/h ft°F, determine the percent increase in heat transfer for the finned pipe over that for the unfinned pipe. Note: longitudinal fins are rectangular fins that extend along the length of the tube. Figure shows view looking down the tube

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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3. A 3 in O.D. aluminum tube (k=133 BTU/h ft°F) has 16 longitudinal fins spaced around its outside surface as shown below. The fins are .06 in thick and extend 2 in from the outside surface of the tube. If the outside surface of the tube wall is at 200F, the surrounding air is at 70°F and the convective heat transfer coefficient is 15 BTU/h ft°F, determine the percent increase in heat transfer for the finned pipe over that for the unfinned pipe. Note: longitudinal fins are rectangular fins that extend along the length of the tube. Figure shows view looking down the tube
Transcribed Image Text:3. A 3 in O.D. aluminum tube (k=133 BTU/h ft°F) has 16 longitudinal fins spaced around its outside surface as shown below. The fins are .06 in thick and extend 2 in from the outside surface of the tube. If the outside surface of the tube wall is at 200F, the surrounding air is at 70°F and the convective heat transfer coefficient is 15 BTU/h ft°F, determine the percent increase in heat transfer for the finned pipe over that for the unfinned pipe. Note: longitudinal fins are rectangular fins that extend along the length of the tube. Figure shows view looking down the tube
Expert Solution
Step 1

Give data:

  • The outer diameter of the tube, do=3 in.
  • The thermal conductivity of aluminum, k=133 BTU/h·ft·°F.
  • The number of fins, n=16.
  • The thickness of fin, t=0.06 in.
  • The length of the fin, l=2 in.
  • The outside wall temperature of the tube, To=200°F.
  • The ambient temperature, T∞=70°F.
  • The convective heat transfer coefficient, h=15 BTU/h·ft2·°F.
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