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MMLU-Pro / 11537 / The maximum heat dissipation from a rectangular profile fin, designed for…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

The maximum heat dissipation from a rectangular profile fin, designed for minimum weight, is 500 k cal per hour per meter width of the fin. The fin base temperature and the ambient air temperature are 110°C and 10°C, respectively. The heat transfer coefficient on the fin surface is 90 kcal/m^2-hr-°C and the thermal conductivity of the fin material is 35 k cal/m-hr-°C. Determine the height and thickness of the fin required. Assume the thermal gradient at the fin base is zero.

category

engineering

options

  1. Thickness of the fin = 6.14, Length of the fin = 44.85 mm
  2. Thickness of the fin = 4.14, Length of the fin = 40.85 mm
  3. Thickness of the fin = 4.14, Length of the fin = 42.85 mm
  4. Thickness of the fin = 5.14, Length of the fin = 44.85 mm
  5. Thickness of the fin = 7.14, Length of the fin = 48.85 mm
  6. Thickness of the fin = 5.14, Length of the fin = 42.85 mm
  7. Thickness of the fin = 5.14, Length of the fin = 47.85 mm
  8. Thickness of the fin = 4.50, Length of the fin = 43.85 mm
  9. Thickness of the fin = 6.14, Length of the fin = 46.85 mm
  10. Thickness of the fin = 5.00, Length of the fin = 45.00 mm

src

stemez-HeatTransfer

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Source and history

upstream_id / Original problem ID
11537
task_id
63d586c6-d873-5b70-8b13-ee7c41b11686
task_key
default--test--11537
task_revision_id
1
config / split
default / test

Official source

initial import