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Apostila Mec. Flu

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Aula 11<br />

Prof. MSc. Luiz Eduardo Miranda J. Rodrigues<br />

Solução do Exercício 2<br />

Equação da continuidade:<br />

Q + Q = Q<br />

m1 m2<br />

m3<br />

( ρ1 ⋅ v1<br />

⋅ A1<br />

) + ( ρ<br />

2<br />

⋅ v2<br />

⋅ A2<br />

) = ( ρ3<br />

⋅ v3<br />

⋅ A3<br />

)<br />

Vazão volumétrica:<br />

Q v<br />

= v ⋅ A<br />

Pode-se escrever que:<br />

( ρ1 ⋅ Qv<br />

) + ( ρ<br />

2<br />

⋅ Q ) (<br />

3<br />

)<br />

1<br />

v<br />

= ρ ⋅Q<br />

2<br />

v 3<br />

Vazão volumétrica (entrada):<br />

Q v1 = 0,02<br />

Q v2 = 0,01<br />

m³<br />

m³<br />

Vazão volumétrica (saída):<br />

Q + Q = Q<br />

v1 v2<br />

v3<br />

0,02<br />

+ 0,01 = Qv3<br />

Q v3 = 0,03<br />

m³<br />

Massa específica (mistura):<br />

ρ ⋅ Q ) + ( ρ ⋅ Q ) = ( ρ ⋅Q<br />

)<br />

(<br />

1 v1<br />

2 v 2 3 v 3<br />

( 1000 ⋅ 0,02) + (800 ⋅ 0,01) = ( ρ ⋅ 3<br />

0,03)<br />

(1000 ⋅ 0,02) + (800 ⋅ 0,01)<br />

ρ3<br />

=<br />

0,03<br />

20 + 8<br />

ρ3<br />

=<br />

0,03<br />

ρ = 28<br />

3<br />

0,03<br />

33<br />

ρ 3 = 933,<br />

kg/m³<br />

<strong>Mec</strong>ânica dos <strong>Flu</strong>idos

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