One side of metallic plate absorbs a heat flux of 1000 $\frac{W}{m^2}$. Its other side is insulated.The emissivity of surface is 0.8 and convective heat transfer coefficient is 20 $\frac{W}{m^2K}$

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One side of metallic plate absorbs a heat flux of 1000

$\frac{W}{m^2}$ . Its other side is insulated.The emissivity of surface is 0.8 and convective heat transfer coefficient is 20

$\frac{W}{m^2K}$

written 8.2 years ago by

teamques10 ★ 69k

• modified 4.9 years ago

Ambient is maintained at 300K. Determine the temperature of plate under steady state conditions σ=5.67× $10^(-8)$

heat transfer

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written 8.2 years ago by

teamques10 ★ 69k

• modified 8.2 years ago

$q_r$ =1000w/ $m^2$ , $h_c$ =20W⁄( $m^2$ K,ε=0.8, $T_∞$ =27℃=300K)

Analysis: The radiant heat flux absorbed by the plate,will be dissipated by convection and radiation.

Thus,

$q_r$ = $h_c$ ( $T_s-T_∞$ )+εσ( $T_s^4-T_∞^4$ )

Using the numerical values,

1000=20( $T_s-300$ )+0.8×5.67× $10^(-8)$ ( $T_s^4-300^4$ )

$T_s$ =338.57K

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