A steel pipe has an inner diameter of 50mm and other diameter of 100mm. The outside temperature is 400°C and the inside temperature is 120°C. The thermal conductivity 60W/mK. Calculate the heat flow from the outside to the inside for 1m length.

Respuesta :

Answer:

Heat flow equals 152.287 kW

Explanation:

For a hollow cylinder the resistance to heat flow is given by

[tex]R_{cylinder}=\frac{ln(\frac{r_{2}}{r_{1}})}{2\pi KL}[/tex]

where,

[tex]r_{2}=[/tex] outer radius

[tex]r_{1}=[/tex] inner radius

[tex]K=[/tex] conductivity of heat

[tex]L=[/tex] length of cylinder

Applying the given values we get

[tex]R_{cylinder}=\frac{ln(\frac{100}{50})}{2\pi \times 60\frac{W}{mK}\times 1}[/tex]

[tex]\therefore R_{cylinder}=0.001838[/tex]

Now the heat flow is given by

[tex]\dot{Q}=\frac{\Delta T}{R_{cylinder}}\\\\\dot{Q}=\frac{400-120}{0.001838}=152.287kW[/tex]

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