Discuss the below in detail:
Q: The convection coefficient for flow over a solid sphere may be determined by submerging the sphere which is initial1y at 25°C, into the flow, which is at 75°C, and measuring its surface temperature at some time during the transient heating process.
(a) If the sphere has a diameter of 0.1 m, a thermal conductivity of 15 W/m · K, and a thermal diffusivity of 10-5 m2/s, at what time wil1 a surface temperature of 60°C be recorded if the convection coefficient is 300 W/m2 · K?
(b) Assess the effect of thermal diffusivity on the thermal response of the material by computing center and surface temperature histories for a = 10-6, 10-5, and 10-4 m2/s. Plot your results for the period o < t="">< 300="" s.="" in="" a="" similar="" manner,="" assess="" the="" effect="" of="" thermal="" conductivity="" by="" considering="" values="" of="" k="1.5," 15="" and="" 150="" w/m="" ·="" k.="">