The convection coefficient for flow over a solid spheremay

Chapter 5, Problem 5.81

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The convection coefficient for flow over a solid spheremay be determined by submerging the sphere, which isinitially at 25C, into the flow, which is at 75C, andmeasuring its surface temperature at some time duringthe transient heating process.(a) If the sphere has a diameter of 0.1 m, a thermal con- ductivity of 15 W/m?K, and a thermal diffusivity of10?5m2/s, at what time will a surface temperature of 60C be recorded if the convection coefficient is300 W/m2?K?(b) Assess the effect of thermal diffusivity on the ther-mal response of the material by computing centerand surface temperature histories for ??10?6,10?5, and 10?4m2/s. Plot your results for the period0?t?300 s. In a similar manner, assess theeffect of thermal conductivity by considering val-ues of k1 ? .5, 15, and 150 W/m?K

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