Question

In: Mechanical Engineering

In applying bernoulli’s equation, derive an equation for the pressure at the inlet of the nozzle...

In applying bernoulli’s equation, derive an equation for the pressure at the inlet of the nozzle below to produce a flowrate of Q=0.70ft^3/s. If the nozzle doscharges to atmosphere at point 2. Take diameters D1=3’’ and D2=1’’

Expert Solution

Solution:

Given,

Flowrate of Q=0.70ft³/s = 1209.6 in³/s.

Diameters D₁=3 in and

D₂=1 in.

At section 1,

A₁ = = = 7.069 in²

P₁ = ?

At section 2,

A₂ = = = 0.7854 in²

P₂ = The nozzle discharges to atmosphere at point 2 = 0

And

z₁ = z₂

Now,

Q = A₁V₁ = A₂V₂

V₁ = = = 171.11 in/s

And

V₂ = = = 1540.11 in/s

Applying bernoulli’s equation at sections 1 and 2, we get

=

Assume density of water = 0.03612729 lb/in³

And gravity g = 386.220472 in/s²

=

= 1171330.09

P₁ = 1171330.09*0.03612729

P₁ = 42316.98 lb/in²

samet mamat answered 3 years ago

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