We are interested in determining the temperature distribution inside a concrete slab at a stoplight. The slab
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We are interested in determining the temperature distribution inside a concrete slab at a stoplight. The slab is exposed to cars' catalytic converters whose surface temperatures are \(300^{\circ} \mathrm{C}\). Figure P9.11 shows all the other important details.
a. Derive the partial differential equation governing the temperature profile inside the slab. Could we use a 1-d approximation?
b. Solve the differential equation for the temperature field. How hot does the surface at \(y=0\) get?
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