A ball bearing manufacturing plant is using air to cool chromium steel balls (k = 40 W/m ∙ K). The convection heat transfer coefficient for the cooling is determined experimentally as a function of air velocity to be h = 18.05V ^0.56, where h and V are in W/m² ∙ K and m/s, respectively. At a given moment during the cooling process with the air temperature at 5°C, a chromium steel ball has a surface temperature of 450°C. Using EES (or other) software, determine the effect of the air velocity (V) on the temperature gradient in the chromium steel ball at the surface. By varying the air velocity from 0.2 to 2.4 m/s with increments of 0.2 m/s, plot the temperature gradient in the chromium steel ball at the surface as a function of air velocity.