How Does Heat Flux Affect Steel's Internal Temperature After 30 Seconds?

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parrim2
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1. A large block of steel [k=45 W/m°C, alpha=1.4x10^-5 m2/s] is initially at a uniform temperature of 35 C. The surface is suddenly exposed to a constant heat flux of 3.2x10^5 W/m2 Find the temperature at a depth of 2.5 cm after 30 seconds has elapsed.
 
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no i didn't know how to solve it without the convection coefficient
 
Then I'd recommend checking your lecture notes, textbook, handouts, or a reference like Incropera and DeWitt's Fundamentals of Heat and Mass Transfer for an equation relating temperature to heat flux for semi-infinite media.