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

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The discussion focuses on calculating the gauge pressure at the exit of a sloping pipe using Bernoulli's equation. Key parameters include a 10m long pipe with a 100mm entrance diameter, an initial water velocity of 4m/s, and a gauge pressure of 35,000 N/m². The pipe expands to 200mm diameter halfway and experiences a head loss of 0.3m due to friction. Participants clarify the correct symbols to use in the equations, emphasizing the need for consistency in notation. The conversation highlights the importance of correctly applying Bernoulli's equation while addressing potential errors in kinetic energy terms.
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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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