A 200-mm-square, 10-mm-thick tile has the thermo-physical

Chapter 9, Problem 9.46

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A 200-mm-square, 10-mm-thick tile has the thermo-physical properties of Pyrex (?0.80) and emerges rom a curing process at an initial temperature ofTi?140?C. The backside of the tile is insulated whilethe upper surface is exposed to ambient air and sur-roundings at 25?C.(a) Estimate the time required for the tile to cool to a final,safe-to-touch temperature of Tf?40?C. Use an aver-age tile surface temperature of T?(Ti?Tf)/2 toestimate the average free convection coefficient andthe linearized radiation coefficient. How sensitive isyour estimate to the assumed value for T?(b) Estimate the required cooling time if ambient air isblown in parallel flow over the tile with a velocityof 10 m/s.

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