A fluid with a specific weight of 100lb/ft^3 and a negligibleviscous effects flo

Question

A fluid with a specific weight of 100lb/ft^3 and a negligibleviscous effects flows in a pipe. The pipe is inclined at 30degrees. Point (1) is located above point (2) in the pipe. This means that the hypotenuse is 10ft long connecting point(2) to point (1). The Pressure at point (1) is 400 lb/ft^2and 900 lb/ft^2 at point (2). The velocities are equal. Is the fluid accelerating uphill, downhill, or not atall?

I tried to use Bernoulli's equations but have not had anyluck.
Please help me out, Thanks.
A fluid with a specific weight of 100lb/ft^3 and a negligibleviscous effects flows in a pipe. The pipe is inclined at 30degrees. Point (1) is located above point (2) in the pipe. This means that the hypotenuse is 10ft long connecting point(2) to point (1). The Pressure at point (1) is 400 lb/ft^2and 900 lb/ft^2 at point (2). The velocities are equal. Is the fluid accelerating uphill, downhill, or not atall?

I tried to use Bernoulli's equations but have not had anyluck.
Please help me out, Thanks.

Explanation / Answer

Yes, any pipe energy calculation is based on Bernoulli'sequations.

400 lb/ft^2= 2.77psi = 2.77 x 2.31 = 6.40 ft water

900 lb/ft^2= 6.25 psi = 6.25x2.31= 14.4 ft water

elevation change = 10 ft x sin 30degree = 5 ft

location 1: energy = 6.40 ft water+ 5 ft water=11.4 ftwater

location 2: energy = 14.4 ft water

energy change = 14.4 – 11.4 = 3 ftwater

the answer will be different if your flowrate Q andpipe size are different, if calculated headloss in pipe isover 3ft, it is uphill, it is downhill if it is less than 3ft,or balance if it is equal to 3ft.

here are some examples, I use Hazen-Williamsequation:

Assuming Q = 120gpm, pipe size = 3 in,C(Hazen-Williams roughness constant)=120, headloss = 5.03ft water, so it is uphill.

Assuming Q = 50gpm, pipe size = 3 in,C(Hazen-Williams roughness constant)=120, headloss = 2.27ft water, so it is downhill.

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