A 10m long, sloping pipe has an entrance of 100mm

• mmbtw
In summary, a 10m long, sloping pipe with an entrance of 100mm diameter and water velocity of 4m/s has a gauge pressure of 35,000n/m^2. Halfway along its length, the pipe abruptly expands to 200mm diameter and the exit point is 0.5m below the entrance. Using D'arcy's formula, the head loss due to friction is calculated to be 0.3m. To calculate the gauge pressure at the exit, Bernoulli's equation can be used, with the correct symbols being ρ for density and h for height.
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Homework Statement

"A 10m long, sloping pipe has an entrance of 100mm diameter water velocity at the pipe entrance is 4m/s and a gauge pressure is 35,000n/m^2. the pipe abruptly expands to 200mm diameter halfway along its length and the exit point is 0.5 below the entrance. The head loss due to friction has been calculated using the d'arcy's formula to be 0.3m - Using bernoulli's equation calculate the gauge pressure in the pipe at the exit".

Homework Equations

Z1 + Vi^2/zg + P1/zg = Z2 + V2^2/zg + P2/rho g + HL

The Attempt at a Solution

More looking for confirmation of the correct formula I should be using?

Thanks

It would help if you used conventional symbols, or at least define the ones you are using.

If
Z = height,
z = density (why call it "z" here and "rho" on the right-hand side?)
by "Vi" you meant to say "V1"

then your kinetic energy terms are still wrong. But at least the head loss term is correctly placed.

The usual symbols are ρ for density and h for height.

1. What is the purpose of the sloping pipe?

The sloping pipe is designed to transport fluids or gases from one point to another, using the force of gravity to move the substance along the length of the pipe.

2. How does the length of the pipe affect its performance?

The longer the pipe, the more distance the fluid or gas has to travel and the more time it takes to reach the end. This can impact the overall flow rate and pressure within the pipe.

3. What is the significance of the entrance size?

The entrance size, also known as the pipe diameter, is important because it determines the amount of fluid or gas that can enter the pipe at a given time. A larger entrance size allows for a higher flow rate, while a smaller size may restrict the flow.

4. How does the slope of the pipe affect its performance?

The slope of the pipe, also known as the gradient or pitch, determines the rate at which the fluid or gas will flow through the pipe. A steeper slope will result in a faster flow, while a gentler slope will result in a slower flow.

5. What are some potential applications for a 10m long, sloping pipe with an entrance of 100mm?

This type of pipe may be used in industrial and commercial settings for the transportation of various liquids and gases, such as water, oil, or natural gas. It could also be used in irrigation systems, drainage systems, or as part of a plumbing system in buildings.

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