To assess the efficacy of different liquids for cooling an object of given size and shape by forced convection it is convenient to introduce figure of merit, FF, which combines the influence of an pertinent fluid properties on the convection coefficient. If the Nusselt number is governed by an expression of the form, Nu L – RemL Prn, 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/m ∙ K, v = 1.6 X 10-5 m2/s, Pr = 0.71), water (k = 0.600 W/m ∙ K, v = 10-6 m2 /s, Pr = 5.0), and a dielectric liquid (k = 0.064 W/m ∙ K, v = 10-6 m2 /s, Pr = 25). What fluid is the most effective cooling agent?