Solved Problems on Engineering Mathematics with Bernoulli's Equation

Engineering Mathematics 1
ENGINEERING MATHEMATICS
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Engineering Mathematics 2
Problem 1
The assumptions made are:
 Incompressible flow
 In viscid flow
Using Bernoulli’s equation
p1
r + v1
2
2 g + z1 = p2
r + v2
2
2 g + z2
Here, P1=P2=0
As v2=−dh
dt ≪< v1 , the equation becomes
z1= v2
2
2 g + z2; z2= v1
2
2 g + z1
v2
2=2 g (z1 −z2 ) v1
2=2 g (z2−z1 )
v2=2 g v1= [ 2 g .(z2−z1 ) ]1
2