Hi, I need help with this problem.
Problem: A horizontal water main with a cross-sectional area of 220 cm2 necks down to a pipe of area 50 cm2. Meters mounted in the flow on each side of the transition coupling show a change in gauge pressure of 85 kPa. Determine the flow rate through the system, taking the fluid to be ideal.
I'm guessing I just use Bernoulli's here?
but how do roh and height and all that play in? =/ Any ideas on how to solve this? Thanks!
Problem: A horizontal water main with a cross-sectional area of 220 cm2 necks down to a pipe of area 50 cm2. Meters mounted in the flow on each side of the transition coupling show a change in gauge pressure of 85 kPa. Determine the flow rate through the system, taking the fluid to be ideal.
I'm guessing I just use Bernoulli's here?
but how do roh and height and all that play in? =/ Any ideas on how to solve this? Thanks!
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Area 1 x v1 = Area 2 x v2 is one equation Get v1 in terms of v2
P1 + rho g h1 + 1/2 rho v1^2 = P2 + rho g h2 + 1/2 rho v2^2
h1 = h2 so they cancel. P1 - P2 = 85000 Pa
Plug in v1 in terms of v2 and solve for v2, then calculate Area 2 x v2 to get the flow rate. For water rho = 1000 kg/m^2
P1 + rho g h1 + 1/2 rho v1^2 = P2 + rho g h2 + 1/2 rho v2^2
h1 = h2 so they cancel. P1 - P2 = 85000 Pa
Plug in v1 in terms of v2 and solve for v2, then calculate Area 2 x v2 to get the flow rate. For water rho = 1000 kg/m^2