What Are Some Optimal Pipe Diameter Solutions for a Dual-Valve Fluid System?

[OsHEe]

Hey guys,

I am studying in heriot watt university Dubai. I would like to be a Fluids expert. I have been doing well in my course-works and my professor usually helps me around to get a few extra info.

However recently due to a tight schedule he is unable to help me out. I have managed to get this real life fluids problem But am unable to solve it can you help me...

Homework Statement

Water must be pumped through 400 ft of one diameter pipe to a point where 200 gpm exits through a valve. The pipeline, now constructed of a different diameter, extends from that point another 400 ft to a second valve where a second 200 gpm is to exit at the end of the line. See figure below. If a total maximum pressure drop of 10 psi from the pump to the second valve can be tolerated, specify some possible diameters for:

a) The functional design(s); and

b) The satisfactory design(s).

c) Assuming that the cost of the pipeline is directly proportional to the diameter of the pipe used, specify an optimal solution.

d) Specify an appropriate type of pump driven by an electric motor, and calculate the power required. Choose a lower cost option if more than one type is available. Assume that the electric drive and associated hardware have an overall power conversion efficiency of 89%.

 

[Q_Goest]

Are you familiar with how to determine flow using the Darcy Weisbach equation? Have you had any experience determining pressure drop versus flow rate through pipe?

 

[Mene]

I would recommend approaching this problem by breaking it down into smaller, more manageable parts. First, start by identifying the key variables and parameters involved, such as the flow rate, pipe diameter, and pressure drop. Then, use the relevant equations and principles of fluid mechanics to solve for the unknowns, such as the required pipe diameter and pump power. It may also be helpful to consult with other experts in the field or use online resources for additional support. Additionally, considering the cost of the pipeline and the available options for pumps can help guide your decision-making process in finding an optimal solution. Overall, it is important to approach this problem systematically and carefully consider all factors in order to arrive at a successful solution.

 

[piercas]

I would recommend the following steps to help solve this fluid mechanics problem:

1. Start by drawing a clear and accurate diagram of the pipeline system, including the locations of the pump, valves, and pipe diameters.

2. Use the Bernoulli equation and the continuity equation to calculate the pressure drop and flow rate at each point in the pipeline. This will help determine the appropriate pipe diameters for the functional and satisfactory designs.

3. Consider the cost implications of using different pipe diameters. Smaller diameters may be more cost-effective, but they may also result in higher pressure drops and lower flow rates. Use this information to determine an optimal solution that balances cost and performance.

4. Select an appropriate type of pump based on the required flow rate and pressure drop, as well as the overall power conversion efficiency. Consider the cost of different pump options and choose the most economical one.

5. Use the power equation to calculate the power required for the selected pump and electric motor. If the cost of electricity is a concern, consider using a more efficient motor or alternative power source.

6. Finally, double-check your calculations and solutions to ensure they are accurate and feasible. If you are still having trouble, consider seeking assistance from a peer, professor, or tutor. Good luck with your studies!