benchmarks.wiki

benchmarks.wiki / Public workspace

MMLU-Pro / 12167 / Hydrogen gas is to be heated by means of forced convection in a pipe. This…

Problem

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

question

Hydrogen gas is to be heated by means of forced convection in a pipe. This experiment will first be modeled on a smaller scale, using air as the flow component. The prototype specifications are: G_H = 4210lbm/ft^2-hrd_iH= 0.1727 ft L_H = 18.5 ft\mu_H= 0.0242lbm/ft-hr C_pH= 3.4 Btu/lbm-°F while the model will use d_iA= 0.0358 ft\mu_A= 0.047lbm/ft-hr C_pA= 0.24 Btu/lbm-°F Using appropriate relations of similitude, find the required values of L_A, G_A and the ratio (h_H/h_A).

category

engineering

options

  1. L_A = 5.84 ft, G_A = 59,444lbm/ft^2-hr, h_H/h_A = 3.01
  2. L_A = 3.34 ft, G_A = 34,444lbm/ft^2-hr, h_H/h_A = 1.01
  3. L_A = 4.22 ft, G_A = 42,222lbm/ft^2-hr, h_H/h_A = 2.21
  4. L_A = 2.84 ft, G_A = 29,444lbm/ft^2-hr, h_H/h_A = 0.51
  5. L_A = 7.00 ft, G_A = 70,000lbm/ft^2-hr, h_H/h_A = 4.00
  6. L_A = 3.14 ft, G_A = 31,415lbm/ft^2-hr, h_H/h_A = 1.11
  7. L_A = 3.84 ft, G_A = 39,444lbm/ft^2-hr, h_H/h_A = 1.51
  8. L_A = 4.84 ft, G_A = 49,444lbm/ft^2-hr, h_H/h_A = 2.51
  9. L_A = 6.28 ft, G_A = 62,832lbm/ft^2-hr, h_H/h_A = 3.14
  10. L_A = 2.50 ft, G_A = 25,000lbm/ft^2-hr, h_H/h_A = 0.91

src

stemez-HeatTransfer

Discussion

Discussion

No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

Source and history

upstream_id / Original problem ID
12167
task_id
b8398013-140a-50ba-bcd1-236bec68ff72
task_key
default--test--12167
task_revision_id
1
config / split
default / test

Official source

initial import