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Hot air at an average temperature of 100 degC flows through a 3 m long tube with an inside diameter of 60 mm. The temperature of the tube is 20 degC along its entire length. The average convective film coefficient is 20.1 W/m2*K. what is most nearly the rate of convective heat transfer from the air to the tube?

Respuesta :

xero099

Answer:

[tex]\dot Q = 912.017\,W[/tex]

Explanation:

The heat transfer rate due to convection is calculated by this formula:

[tex]\dot Q = h_{air}\cdot A_{tube, in}\cdot (T_{air} - T_{tube})[/tex]

The output is determined by replacing terms:

[tex]\dot Q = (20.1\,\frac{W}{m^{2}\cdot ^{\textdegree}C})\cdot (\pi )\cdot (0.06\,m)\cdot (3\,m)\cdot (100^{\textdegree}C-20^{\textdegree}C)[/tex]

[tex]\dot Q = 912.017\,W[/tex]

princessesther2011

Answer:

The most nearly rate of convective heat transfer from the air to the tube is 1.52 W

Explanation:

P = hA(T1 - T2)/L

P is rate of convective heat transfer from the air to the tube

h is average convective film coefficient = 20.1 W/m^2.K

A is area of the tube = πd^2/4 = 3.142×0.06^2/4 = 2.8278×10^-3 m^2

T1 is temperature of air = 100 °C = 100+273 = 373 K

T2 is temperature of the tube = 20 °C = 20+273 = 293 K

L is length of the tube = 3 m

P = 20.1×2.8278×10^-3(373-293)/3 = 1.52 W

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