In a power plant, pipes transporting superheated vapor are very common. Superheated vapor flows at a rate of 0.3 kg/s inside a pipe that is of diameter 5 cm and length10 m. The pipe is located in a power plant at a temperature of 22°C, and has a uniform pipe surface temperature of 100°C. If the temperature drop between the inlet and exit of the pipe is 30°C and the specific heat of the vapor is 2190 J/kg·K, determine the heat transfer coefficient as a result of convection between the pipe surface and the surroundings.

Respuesta :

Answer:[tex]h=160.84 W/m^2-K[/tex]

Explanation:

Given

mass flow rate=0.3 kg/s

diameter of pipe=5 cm

length of pipe=10 m

Inside temperature=22

Pipe surface =100

Temperature drop=30

specific heat of vapor(c)=2190 J/kg.k

heat supplied [tex]Q=mc\Delta T=0.3\times 2190\times (30)[/tex]

Heat due to convection =hA(100-30)

[tex]A=\pi d\cdot L[/tex]

[tex]A=\pi 0.05\times 10=1.571 m^2[/tex]

[tex]Q_{convection}=h\times 1.571\times (100-22)=122.538 h[/tex]

[tex]Q=Q_{convection}[/tex]

19,710=122.538 h

[tex]h=160.84 W/m^2-K[/tex]