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MMLU-Pro / 11454 / Air is moving as a steady flow through a duct having a constant rectangular…

Problem

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question

Air is moving as a steady flow through a duct having a constant rectangular cross section measuring 2 by 1 ft. At a position 20 ft from the end, the pressure is 18psia, and the temperature is 500°F. The fluid leaves the ductsubsonically at a pressure of 14.7psia. If there is 40lbmof fluid flow/sec, what is the heat transfer per pound mass of fluid between the afore-mentioned section and the exit ? Assume a constant specific head c_p of 0.26 Btu/lbm/°F and neglect friction. TABLE 1 RAYLEIGH LINE (For a perfect gas with k = 1.4) M (T_0 / T_0\textasteriskcentered) (T / T\textasteriskcentered) (p / p\textasteriskcentered) (p_0 / p_0\textasteriskcentered) (V / V\textasteriskcentered) 0.22 0.206 0.244 2.25 1.23 0.109 0.24 0.239 0.284 2.22 1.22 0.128 0.26 0.274 0.325 2.19 1.21 0.148 0.28 0.310 0.367 2.16 1.21 0.170 0.46 0.630 0.725 1.85 1.13 0.392 0.48 0.661 0.759 1.81 1.12 0.418 0.50 0.691 0.790 1.78 1.11 0.444 0.52 0.720 0.820 1.74 1.10 0.471 TABLE 2 ONE DIMENSIONAL ISENTROPIC RELATIONS (For a perfect gas with k = 1.4) M (A / A\textasteriskcentered) (p / p_0) (\rho / \rho_0) (T / T_0) 0.22 2.71 0.967 0.976 0.990 0.24 2.50 0.961 0.972 0.989 0.26 2.32 0.954 0.967 0.987 0.28 2.17 0.947 0.962 0.985 0.46 1.42 0.865 0.902 0.959 0.48 1.38 0.854 0.893 0.956 0.50 1.34 0.843 0.885 0.952 0.52 1.30 0.832 0.877 0.949

category

engineering

options

  1. 366 Btu/lbm
  2. 500 Btu/lbm
  3. 250 Btu/lbm
  4. 400 Btu/lbm
  5. 410 Btu/lbm
  6. 295 Btu/lbm
  7. 385 Btu/lbm
  8. 320 Btu/lbm
  9. 440 Btu/lbm
  10. 475 Btu/lbm

src

stemez-FluidMechanics

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Source and history

upstream_id / Original problem ID
11454
task_id
c04c1688-ee96-5516-aaf0-2dedd3b7b7f1
task_key
default--test--11454
task_revision_id
1
config / split
default / test

Official source

initial import