Fluid Flow, Continuity, and Bernoulli’s Equation (4B)
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QUESTION
For horizontal flow, if speed increases from
v
1
v_1
v
1
to
v
2
v_2
v
2
with
v
2
>
v
1
v_2>v_1
v
2
>
v
1
, how does pressure change?
QUESTION
Using continuity, if a pipe narrows so that
A
2
=
1
2
A
1
A_2=\frac{1}{2}A_1
A
2
=
2
1
A
1
, what is
v
2
v_2
v
2
in terms of
v
1
v_1
v
1
?
QUESTION
Using continuity, if
A
2
=
3
A
1
A_2=3A_1
A
2
=
3
A
1
, what is
v
2
v_2
v
2
in terms of
v
1
v_1
v
1
for incompressible flow?
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ANSWER
v
2
=
1
3
v
1
v_2=\frac{1}{3}v_1
v
2
=
3
1
v
1
. Continuity dictates that speed decreases inversely with area increase to conserve volume flow rate.
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