To assess the efficacy of different liquids for cooling an

Chapter , Problem 6.3

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To assess the efficacy of different liquids for cooling an object of given size and shape by forced convection, it is convenient to introduce a figure of merit, FF, which combines the influence of all pertinent fluid properties on the convection coefficient. If the Nusselt number is governed by an expression of the form, , obtain the corresponding relationship between FF and the fluid properties. For representative values of m 0.80 and n 0.33, calculate values of FF for air (k 0.026 W/mK, 1.6 105 m2 /s, Pr 0.71), water (k 0.600 W/mK, 106 m2 /s, Pr 5.0), and a dielectric liquid (k 0.064 W/mK, 106 m2 /s, Pr 25). Which fluid is the most effective cooling agent? 6

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