Question
Ambient air flows over a heated slab having flat, top surface at 𝒚 = 𝟎. The local temperature (in Kelvin) profile within the thermal boundary layer is given by 𝑻(𝒚) = 𝟑𝟎𝟎 + 𝟐𝟎𝟎 𝐞𝐱𝐩 (−𝟓𝒚), where 𝒚 is the distance measured from the slab surface in meter. If the thermal conductivity of air is 1.0 W/m.K and that of the slab is 100 W/m.K, then the magnitude of temperature gradient |𝒅𝑻/𝒅𝒚| within the slab at 𝒚 = 𝟎 is _______________ K/m (round off to the nearest integer).
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