benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--11632▌ posts · files
MMLU-Pro / 11632 / A fluid is flowing in a circular pipe of radius R. Heat is being transferred…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
A fluid is flowing in a circular pipe of radius R. Heat is being transferred from the walls of the pipe to the fluid at a constant rate q_w per unit area. Derive an expression for the temperature distribution and the local heat transfer coefficient h_x. The flow is laminar and fully developed. Axial conduction is negligible in comparison with radial conduction. Note that at x = 0, the bulk mean temperature of the fluid T_(b)1 is known.
category
engineering
options
- h_x = 8.72 (k/D)
- h_x = 7.23 (k/D)
- h_x = 2.18 (k/D)
- h_x = 9.50 (k/D)
- h_x = 6.54 (k/D)
- h_x = 11.04 (k/D)
- h_x = 4.36 (k/D)
- h_x = 10.12 (k/D)
- h_x = 3.66 (k/D)
- h_x = 5.78 (k/D)
src
stemez-TransportPhenomena
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Source and history
- upstream_id / Original problem ID
- 11632
- task_id
424356d4-ce11-5953-be83-4c1a0146eafc- task_key
default--test--11632- task_revision_id
- 1
- config / split
- default / test
initial import