A cryogenic gas flows at $5\frac{m}{s}$ in parallel over the surface of an ASTM A$240410$ s stainless steel

plate. The temperature of the cold gas is $-51C,$ and the plate length is $1$ m $.$ The minimum

temperature suitable for the ASTM A$240410$ S plate is $-30C.$ In the interest of designing a heater,

determine the average heat flux on the plate surface necessary to maintain the surface

temperature at $-30C.$ Use the following gas properties for the analysis: $c_p=1\mathrm{.}002k\frac{J}{k}g*K,k=$

$0\mathrm{.}02057\frac{W}{m}*K,=1\mathrm{.}527{10}^{-5}k\frac{g}{m}*s,$ and $=1\mathrm{.}514k\frac{g}{m^3}.$

The average heat flux on the plate surface necessary to maintain the surface temperature at

$-30C$ is $,\frac{W}{m^2}.$

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Difficulty: Medium

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