The dependence on fluid speed for flow over a sphere is not easy to reason out because of the crazy empirical correlation for this geometry. (a) Calculate h for the following two cases: (1) Air at 300K flows over a 0.2m diameter sphere at 2m/s. The sphere surface is heated to a uniform 400K; (2) the air speed is increased to 10m/s. (b) Compare and reflect on the differences between h values for this sphere with the flat plate in Problem 1 with the same 'characteristic length'. Which was bigger? Any conjecture of what might cause the difference? (c) Take a ratio of the two h values you found in part (a) and compare that to the ratio of the two air speeds (that is, calculate m in the ratios h1h2=(u,1u,2)m ). This tells you approximately how fluid speed influences h for this geometry