Calculate the inner diameter of the steam tube between the boiler and the high pressure turbine if the average velocity of the steam(state 1) is 60 m/s.

Given is the mass flow rate at 18 kg/s.

Specific volume (v) is 0,036793 m^3/kg

Velocity (V) given as 60 m/s

How do i calculate this ??

Respuesta :

Answer:

The inner diameter of the steam tube is 0.1185 m.

Explanation:

[tex]m=\rho \times A\times v=\frac{1}{V}\times A\times v[/tex]

m = mass flow rate

[tex]\rho [/tex] = density of the liquid

V=specific volume =[tex]\frac{1}{\rho }[/tex]

v = velocity of the liquid

A = area of cross-section

Diameter of the cross-section = d = 2r

Given: m = 18 kg/s, v = 60 m/s,A=?, [tex]V = 0.036793 m^3/kg[/tex]

[tex]18 kg/s=\frac{1}{0.036793 m^3/kg}\times A\times 60 m/s[/tex]

[tex]A=0.0110379 m^2[/tex]

Area of the inner cross section = [tex]\pi r^2=\pi \frac{d^2}{4}[/tex]

[tex]\pi \frac{d^2}{4}=0.0110379 m^2[/tex]

d = 0.1185 m

The inner diameter of the steam tube is 0.1185 m.

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