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

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SUMMARY

The discussion focuses on calculating the gauge pressure at the exit of a 10m long, sloping pipe with a 100mm diameter entrance and a 200mm diameter expansion. The water velocity at the entrance is 4m/s, with a gauge pressure of 35,000 N/m² and a head loss due to friction calculated using Darcy's formula as 0.3m. The relevant equation applied is Bernoulli's equation, which incorporates height, velocity, pressure, and head loss. The discussion emphasizes the importance of using conventional symbols for clarity in fluid dynamics calculations.

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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
 
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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.
 

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