(a) Find the speed of flow in the lower section. (b) Find the speed of flow in t
ID: 2244940 • Letter: #
Question
(a) Find the speed of flow in the lower section.
(b) Find the speed of flow in the upper section.
(c) Find the volume flow rate through the pipe.
Explanation / Answer
by using equation of continuity,
A1*V1=A2*v2
v2/v1=A1/A2
or
v2/v1=(r1/r2)^2
v2/v1=(2.5/1.3)^2
v2/v1=3.698
v2=3.698*v1
a)
by using bernoulli's therom
p1+1/2*rho*v1^2+rho*g*h1=p2+1/2*rho*v2^2+rho*g*h2
p1+1/2*rho*v1^2=p2+1/2*rho*v2^2+rho*g*h2
p1-p2=1/2*rho[(v2^2- v1^2)+2g(h2-h1)]
(1.8-1.2)*10^5=1/2*1000[(v2^2 - v1^2)+2*9.8(2.5)]
118=(3.698*v1)^2 -v1^2)+49
(3.698*v1)^2 -v1^2)=69
(v1)^2(13.675-1)=69
(v1)^2(12.675)=69
v1=sqrt(69/12.675)
v1=2.333 m/sec
b)
v2=3.698*v1
v2=8.628 m/sec
c)
volume flow rate=A2*v2
=pi*r2^2*v2
=3.14*0.013^2*8.628
=4.5785*10^-3 m^3/sec