Size of pipe needed to transport helium problem

In summary, an engineer needs to transport .01 m^3/s of helium at 15°C and 120 kPa with a velocity limit of 40 m/s. They are unsure of which equation to use and suggest Bernoulli's equation. However, the problem is simply asking for the diameter of the pipe needed to meet these constraints, using the continuity equation.
  • #1
AlaskanPow
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Homework Statement



An engineer is designing a system that requires transporting .01 m^3/s of helium at 15°C and 120 kPa. The velocity of the pipe is limited to 40 m/s. What size (diameter) of pipe is needed?

My question is what equation do i need to solve this problem?

Homework Equations



Im not sure possibly Bernoulli's equation.

The Attempt at a Solution



need equation first
 
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  • #2
The problem is not asking you to find any pressure drops or changes in velocity of the helium. The problem is simply this: given the volumetric flow rate and the maximum speed of the helium, what is the diameter of the pipe required to satisfy these constraints? Hint: think continuity.
 

Related to Size of pipe needed to transport helium problem

What is the "Size of pipe needed to transport helium problem"?

The "Size of pipe needed to transport helium problem" is a commonly encountered issue in the field of engineering and pipeline design. It refers to the calculations and considerations involved in determining the appropriate size and dimensions of a pipe that is capable of transporting helium gas from one location to another with maximum efficiency and safety.

Why is the size of the pipe important in transporting helium?

The size of the pipe is important in transporting helium because it is directly related to the flow rate and pressure of the gas. Helium is a low-density gas with low viscosity, which means it requires a larger pipe diameter to maintain a consistent flow and prevent pressure drop. If the pipe is too small, the flow rate will be reduced, and if it is too large, it can result in unnecessary expenses and safety risks.

What factors need to be considered in determining the size of the pipe for transporting helium?

Several factors need to be considered in determining the size of the pipe for transporting helium, including the flow rate and pressure of the gas, the distance and elevation change between the source and destination, the properties and characteristics of the pipe material, and the ambient temperature and conditions. All these factors affect the gas flow and pressure, and must be carefully evaluated to determine the most suitable pipe size.

How is the size of the pipe calculated for transporting helium?

The size of the pipe for transporting helium is calculated using various engineering formulas and equations, such as the Darcy-Weisbach equation, the Hazen-Williams equation, and the Colebrook-White equation. These equations take into account the factors mentioned above and provide a calculated pipe size that can effectively transport the required amount of helium with minimal pressure drop and friction losses.

What are the consequences of using the wrong pipe size for transporting helium?

The consequences of using the wrong pipe size for transporting helium can range from reduced efficiency and increased costs to serious safety hazards. If the pipe is too small, it can result in low flow rate, increased pressure drop, and potential blockages. On the other hand, using a pipe that is too large can lead to unnecessary expenses and potential safety risks, such as increased risk of leaks and ruptures due to excess pressure or inadequate support.

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