Anarrow taper bore is inspected using the precision spheres technique. the taper is 80mm long. the top of a 20mm sphere is 50mm from the wide end of the bore and the top of a 25mm sphere is 5mm also from the wide end of the bore. determine the half angle of the taper and the entry and exit diameters of the bore.

Air flows over a heated plate àt a velocity of 50m/s. the local skin factor coefficient at a point on a plate is 0.004. estimate the local heat transfer coefficient at this point.the following property data for air are given: density = 0.88kg/m3 , viscosity 2.286 x 10 ^-5 kgm/s , k = 0.035w/mk ,cp = 1.001kj/kgk. use colburn reynolds analogy.