Problem 6 - Exercício CM e QDM PDF

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Summary

Exercício CM e QDM...

Description

Problem 6.54

Given:

Flow rate through siphon

Find:

Maximum height h to avoid cavitation

[Difficulty: 3]

Solution: Basic equation

p

2

V

+

ρ

+ g ⋅ z = const

2

Q = V⋅ A

Assumptions: 1) Incompressible flow 2) Inviscid 3) Steady 4) Along a streamline

Available data

From continuity

Q = 5⋅

V=

Q

3 −3m

L

Q = 5 × 10

s

=

A

ρ = 999⋅

D = 25⋅ mm

s

kg

p atm = 101⋅kPa

3

m 3

4⋅Q

V =

2

π⋅D

m 4 1 ⎞ × 0.005⋅ ×⎛ π s ⎝ .025⋅ m⎠

2

V = 10.2

m s

Hence, applying Bernoulli between the free surface and point A p atm ρ

=

pA ρ

2

+ g ⋅h +

V

where we assume VSurface...