Solved: To assess the efficacy of different liquids for

Chapter 9, Problem 9.4

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To assess the efficacy of different liquids for cooling bynatural convection, it is convenient to introduce a figure of merit, FN, which combines the influence of all perti-nent fluid properties on the convection coefficient. If the Nusselt number is governed by an expression of the form,NuLRan, obtain the corresponding relationship betweenFNand the fluid properties. For a representative value ofn?0.33, calculate values of FNfor air (k?0.026W/m?K, ??0.0035 K?1, ??1.5?10?5m2/s, Pr?0.70), water (k?0.600 W/m?K, ??2.7?10?4K?1,??10?6m2/s, Pr?5.0), and a dielectric liquid (k?0.064 W/m?K, ??0.0014 K?1, ??10?6m2/s,Pr?25).What fluid is the most effective cooling agent?

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