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Problem

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question

A certain submerged body is to move horizontally through oil (\gamma = 52 lb/ft^3, \mu = 0.0006lb\bullets/ft^2) at a velocity of 45 fps. To studythe characteristics of this motion, an enlarged model of thebody is tested in 60°F water. The model ratio \lambda is8 :1. Determine the velocity at which this enlarged model should bepulled through the water to achieve dynamic similarity. If thedrag force on the model is 0.80 lb, predict the drag force onthe prototype. Body is submerged, hence there is no waveaction. Reynolds criterion must be satisfied. \rho(water) = 1.94 slugs/ft^3. TABLE Temp, F Specific weight \gamma, lb/ft^3 Density \rho, slugs/ft^3 Viscosity \mu × 10^5, lb.s /ft^2 Kine-matic Viscosity \cyrchar\CYRIZH × 10^5, ft^2/s 32 62.42 1.940 3.746 1.931 40 62.43 1.940 3.229 1.664 50 62.41 1.940 2.735 1.410 60 62.37 1.938 2.359 1.217 70 62.30 1.936 2.050 1.059 80 62.22 1.934 1.799 0.930 90 62.11 1.931 1.595 0.826 100 62.00 1.927 1.424 0.739 110 61.86 1.923 1.284 0.667 120 61.71 1.918 1.168 0.609 130 61.55 1.913 1.069 0.558 140 61.38 1.908 0.981 0.514 150 61.20 1.902 0.905 0.476 160 61.00 1.896 0.838 0.442 170 60.80 1.890 0. 780 0.413 180 60.58 1.883 0.726 0.385 190 60.36 1.876 0.678 0.362 200 60.12 1.868 0.637 0.341 212 59.83 1.860 0.593 0.319

category

engineering

options

  1. 0.322 fps, 380 lb
  2. 0.161 fps, 580 lb
  3. 0.322 fps, 465 lb
  4. 0.213 fps, 580 lb
  5. 0.565 fps, 380 lb
  6. 0.213 fps, 465 lb
  7. 0.161 fps, 465 lb
  8. 0.565 fps, 465 lb
  9. 0.213 fps, 380 lb
  10. 0.322 fps, 580 lb

src

stemez-FluidMechanics

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Source and history

upstream_id / Original problem ID
11913
task_id
15b97434-7f8b-5658-9476-037e6e1686c7
task_key
default--test--11913
task_revision_id
1
config / split
default / test

Official source

initial import