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MMLU-Pro / 12245 / Oil of viscosity 0.2248lbm/ft-sec. is pumped through a horizontalpipe of 4-in.…

Problem

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question

Oil of viscosity 0.2248lbm/ft-sec. is pumped through a horizontalpipe of 4-in. inside diameter. If there is a pressure dropof 24,000lbf/ft^2 per mile of flow, calculate the average velocityof flow and the power necessary to maintain the oil flow. Also calculate the velocity and shear stress at (3/2) in. fromthe center.

category

engineering

options

  1. Average velocity of flow: 2.26 ft/s, Power consumed: 8.61 hp/mile, Velocity at 3/2 in. from center: 1.98 ft/s, Shear stress at 3/2 in. from center: 0.284 lb/ft^2
  2. Average velocity of flow: 3.0 ft/s, Power consumed: 10.2 hp/mile, Velocity at 3/2 in. from center: 2.5 ft/s, Shear stress at 3/2 in. from center: 0.35 lb/ft^2
  3. Average velocity of flow: 2.0 ft/s, Power consumed: 8.0 hp/mile, Velocity at 3/2 in. from center: 1.5 ft/s, Shear stress at 3/2 in. from center: 0.25 lb/ft^2
  4. Average velocity of flow: 2.1 ft/s, Power consumed: 8.4 hp/mile, Velocity at 3/2 in. from center: 1.7 ft/s, Shear stress at 3/2 in. from center: 0.26 lb/ft^2
  5. Average velocity of flow: 2.4 ft/s, Power consumed: 9.2 hp/mile, Velocity at 3/2 in. from center: 2.1 ft/s, Shear stress at 3/2 in. from center: 0.29 lb/ft^2
  6. Average velocity of flow: 2.2 ft/s, Power consumed: 8.5 hp/mile, Velocity at 3/2 in. from center: 1.9 ft/s, Shear stress at 3/2 in. from center: 0.28 lb/ft^2
  7. Average velocity of flow: 1.9 ft/s, Power consumed: 7.5 hp/mile, Velocity at 3/2 in. from center: 1.6 ft/s, Shear stress at 3/2 in. from center: 0.24 lb/ft^2
  8. Average velocity of flow: 2.8 ft/s, Power consumed: 9.4 hp/mile, Velocity at 3/2 in. from center: 2.3 ft/s, Shear stress at 3/2 in. from center: 0.32 lb/ft^2
  9. Average velocity of flow: 2.5 ft/s, Power consumed: 9.0 hp/mile, Velocity at 3/2 in. from center: 2.0 ft/s, Shear stress at 3/2 in. from center: 0.3 lb/ft^2
  10. Average velocity of flow: 1.8 ft/s, Power consumed: 7.2 hp/mile, Velocity at 3/2 in. from center: 1.4 ft/s, Shear stress at 3/2 in. from center: 0.22 lb/ft^2

src

stemez-TransportPhenomena

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Source and history

upstream_id / Original problem ID
12245
task_id
d4c9b691-6da6-5c37-b465-38850d789551
task_key
default--test--12245
task_revision_id
1
config / split
default / test

Official source

initial import