Fluid Mechanics: Fluid Transfer Between Two Reservoirs at Different Heights

[ShaunG123]

Homework Statement

Fluid mechanics question

Relevant Equations

Bernoulli's Equation

A reservoir supply tunnel transfers water from a high level storage reservoir via a 200mm diameter pipe to a lower intermediate reservoir. The total height difference between the free surfaces of each reservoir is 76 m. The pipe is 700 m long and the coefficient of friction, Cf is 0.009. The loss factor at entry (k) is 0.5 and at exit is 1.0. Determine:
the head losses in metres
the mean fluid velocity and flow rate at the instant illustrated

I have done a full solution but not used Bernoulli's equation this is what i need help with.

 

[Chestermiller]

So show us what you've done so far please.

 

[ShaunG123]

please see attached my attempt

 

[berkeman]

please see attached my attempt

Could you please convert it to a PDF file instead? Word files are problematic for sharing from non-trusted sources. You can use a free PDF writer like PrimoPDF to do the conversion, for example. Thanks.

 

[ShaunG123]

updated

 

[Chestermiller]

updated

This looks mostly correct to me, but, in the simplification of the equations, I think there might be an algebra error. Please check it over.

 

[wtplowry]

I also need help with this question if anyone has a solution using Bernoulli's equation.

 

[berkeman]

I also need help with this question if anyone has a solution using Bernoulli's equation.

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