Use Bernoulli's energy balance equation (E = PV + 0.5*mU2), assume volume flow rate remains constant along the pipe such that (Q=UA), and assume that pressure is balanced manometer to perform the following derivations: (ii) (iii) an expression for P₁ P2 in the pipe (substitute U₂ in this step). an expression for P₁ P2 in the U-tube manometer. Set the expressions in parts (i) and (ii) equal to one another and derive the flow equation: U₁ = 2 (Pm - 1) gh NN-N - 1

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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(b)
Use Bernoulli's energy balance equation (E = PV + 0.5*mU²), assume volume flow rate remains
constant along the pipe such that (Q=UA), and assume that pressure is balanced manometer to
perform the following derivations:
(i)
(ii)
(iii)
1- P2 in the pipe (substitute U2 in this step).
an expression for P₁
an expression for P₁
P2 in the U-tube manometer.
Set the expressions in parts (i) and (ii) equal to one another and derive the flow equation:
U₁ =
2 (Pm -1) gh
BA
- 1
Transcribed Image Text:(b) Use Bernoulli's energy balance equation (E = PV + 0.5*mU²), assume volume flow rate remains constant along the pipe such that (Q=UA), and assume that pressure is balanced manometer to perform the following derivations: (i) (ii) (iii) 1- P2 in the pipe (substitute U2 in this step). an expression for P₁ an expression for P₁ P2 in the U-tube manometer. Set the expressions in parts (i) and (ii) equal to one another and derive the flow equation: U₁ = 2 (Pm -1) gh BA - 1
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