A rectangular kiln is exposed to ambient air at 29.6 °C, which has a convection coefficient of 5.0 W/m^2°C around the kiln. For safety reasons the outside surface temperature must be limited to 35 °C. Under steady operation the temperature of internal surface of the kiln is 444 °C. Find out the total thermal resistance (in °C/W) needed to achieve the safe conditions.

Respuesta :

Answer:

Explanation:

Given data:

[tex]T∞ =29.6 degree\ celcius[/tex]

[tex]H∞  = 5 w/m^2 -degree C[/tex]

[tex]T_s = 35 degree \celcius[/tex]

[tex]T_i = 444 degree \celcius[/tex]

Total stiffness resistance  can  be calculated as

[tex]\theta = \frac{Ts -T\infty}{\frac{1}{H\infty A}} =\frac{T_i - T\infty }{\frac{R}{A}}[/tex]

[tex](35- 29.6) 5 = \frac{444- 29.6}{R}[/tex]

[tex]27\times R = 414.4[/tex]

Solving for R we get

R = 15.348 Degree C/W

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