It is required to heat oil to about 500°C for quenching purpose. A ladder is used in the furnace. The section of ladder is (10 x 20) mm². The sourroundings are at 27°C.

It is required to heat oil to about 500°C for quenching purpose. A ladder is used in the furnace. The section of ladder is (10 x 20) mm². The sourroundings are at 27°C. The temperature of ladder at 400 mm from oil should not reach 50°C, then what is the value of heat transfer coefficient. [k = 205 W/m°C]

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    Heat transfer coefficcient, h = \frac{T_{0}-T_{\infty}}{T-T_{\infty}}=e^{mx}

    \Rightarrow e^{m\left ( 0.40 \right )} = \frac{500-27}{50-27}

    \Rightarrow m = 7.55

    \Rightarrow \sqrt{\frac{hP}{kA}}=7.55

    \Rightarrow \frac{h \times \left [ \left ( 0.010 + 0.020 \right )\times2 \right ]}{205\times\left ( 0.010\times 0.020 \right )}=57.13
    h = 39.03\,W/m^{2\circ}C

    engg_guy Answered on 2nd October 2023.
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