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In: Civil Engineering

Common data g = 9.81 m/s². The standard properties of water are density: ϱH2O=1kg/dm3ϱH2O=1kg/dm3 exactly, kinematic...

Common data

g = 9.81 m/s².
The standard properties of water are density: ϱH2O=1kg/dm3ϱH2O=1kg/dm3 exactly, kinematic viscosity: νH2O=1.02⋅10−6m2/sνH2O=1.02⋅10−6m2/s.

Lubrication oil is pumped at a rate of 30.5 cm³/s through a 13 m long D = 7.5 mm diameter pipe on a steam engine. The pipe roughness is ε = 1.5 µm. The density of the lubricating oil is 960 kg/m³, its dynamic viscosity at 25 °C is 4 Pa·s.

Do not forget to tick the appropriate units!

  • What is the weight flow rate of the lubricating oil?
  • What is the momentum flow rate in the pipe?
  • What is the Reynolds number?
  • What is the head loss along the pipe?
  • What is the pressure drop along the pipe?
  • Calculate the power the oil pump needs to deliver.
  • As the temperature rises to 95 °C, the dynamic viscosity drops by a factor of 100. How does this change the flow type and the required power?

  • The new Reynolds number will be:
  • The power of the pump becomes:

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