n undergraduate student of mechanical engineering wishes to calculate the w rate through the pipe shown in Fig. 5. He applies Bernoulli's equatio mechanical energy equation) between point 1 and 2, and obtains an expression for the velocity (V) in the pipe as below, V = 2gHD fL What is the fallacy in his argument and what should be the correct expression for V? At approximately what L/D ratio would you expect the above equation to

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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n undergraduate student of mechanical engineering wishes to calculate the
fow rate through the pipe shown in Fig. 5. He applies Bernoulli's equation
(mechanical energy equation) between point 1 and 2, and obtains an
expression for the velocity (V) in the pipe as below,
V =
2gHD
fL
What is the fallacy in his argument and what should be the correct expression
for V? At approximately what L/D ratio would you expect the above equation to
give results within, say one percent of the correct value (use Darcy's friction
factor f = 0.02)
1
H
water
D
2
Transcribed Image Text:n undergraduate student of mechanical engineering wishes to calculate the fow rate through the pipe shown in Fig. 5. He applies Bernoulli's equation (mechanical energy equation) between point 1 and 2, and obtains an expression for the velocity (V) in the pipe as below, V = 2gHD fL What is the fallacy in his argument and what should be the correct expression for V? At approximately what L/D ratio would you expect the above equation to give results within, say one percent of the correct value (use Darcy's friction factor f = 0.02) 1 H water D 2
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