In Section 5.2 we noted that the value of the Biot number

Chapter 5, Problem 5.70

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In Section 5.2 we noted that the value of the Biot number significantly influences the nature of the temper-ature distribution in a solid during a transient conductionprocess. Reinforce your understanding of this importantconcept by using the IHTmodel for one-dimensionaltransient conduction to determine radial temperaturedistributions in a 30-mm-diameter, stainless steel rod(k?15 W/m?K, ??8000 kg/m3, cp?475 J/kg?K), asit is cooled from an initial uniform temperature of 325Cby a fluid at 25C. For the following values of the con-vection coefficient and the designated times, determinethe radial temperature distribution: h?100 W/m2?K(t?0, 100, 500 s); h?1000 W/m2?K(t?0, 10, 50 s);h?5000 W/m2?K(t?0, 1, 5, 25 s). Prepare a separategraph for each convection coefficient, on which tempera- ture is plotted as a function of dimensionless radius at thedesignated times.

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