2. Numerical
• Oil at 20°C (ρ = 888 kg/m3 and µ = 0.800 kg/m·s) is
flowing steadily through a 40-m-long pipe with a flow
rate of 2.67 dm3/s. The pipe is inclined 15° upward.
• The pressure at the pipe inlet and outlet are
measured to be 745 and 97 kPa, respectively.
Determine the flow diameter of the pipe. Also verify
that the flow through the pipe is laminar.
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3. Assumptions
• The flow is steady and incompressible
• The entrance effects are negligible, and thus the flow is fully
developed
• The entrance and exit loses are negligible
• The flow is laminar (to be verified)
• The pipe involves no components such as bends, valves, and
connectors
• The piping section involves no work devices such as pumps and
turbine
• Neglecting frictional losses in the pipe
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