Question

You are interested in analyzing the flow of crude oil (ρ=0.87g/cm3) through an inclined pipe of varying cross section, where the pressure at Ⓐ is the same as that at Ⓑ.

The fluid velocity at location Ⓐ is 5m/s and there are no frictional losses.

• What is the fluid velocity at location Ⓑ?
• What is the relationship between the pipe diameters at locations Ⓐ and Ⓑ?

  Consider the earlier example, but now we would like to move the flow against gravity from point Ⓑ to point Ⓐ, maintaining the mass flow rate through the pipe at 7kg/s.

As in the earlier exercise, locations Ⓐ and Ⓑ are maintained at the same pressure.

The diameter of the pipe at location Ⓐ is 12cm, while that at Ⓑ is 4cm.

The frictional work required is Wf=150m²/s².

• What is the fluid velocity at points Ⓐ and Ⓑ?
• What shaft work is needed to achieve this?

Answer 1