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Unformatted text preview: Quiz 6 Solutions to selected questions Q. 1 The present pumping rate of North Slope crude oil through the Alaska Pipeline (see the chapter-opener photo) is about 600,000 barrels per day (1 barrel = 42 U.S. gallons). What would be the maximum rate if the Fow were constrained to be laminar? Assume that Alaskan crude oil ¡ts ¢ig. A.1 of the Appendix at 60°C. Solution: ¢rom ¢ig. A.1 for crude at 60°C, ρ = 0.86(1000) = 860 kg/m3 and μ = 0.0040 kg/m-s. ¢rom Eq. (6.2), the maximum laminar Reynolds number is about 2300. Convert the pipe diameter from 48 inches to 1.22 m. Solve for velocity: Q 1 ¢or Fow of SAE 30W oil through a 5-cm-diameter pipe, from ¢ig. A.1, for what Fow rate in m 3 /h would we expect transition to turbulence at 20°C ? Solution: ¢or SAE 30W oil take and take μ = 0.29 kg/m ⋅ s at 20°C (Table A.3) and 0.01 kg/m-s at 100°C (¢ig A.1). Write the critical Reynolds number in terms of flow rate Q: Q 2 ¢or Fow of oil ( μ = 0.1 kg/(m ⋅ s), SG = 0.9) through a long, straight, smooth 5-cm-s), SG = 0....
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- Fall '08
- Fluid Dynamics, Moody chart, SAE 30W oil, smooth 8-cm-diameter pipe