Forced convection from a sphere in creeping flow, a sphere of diameter D, whose surface is maintained at a temperature T₀, is located in a fluid stream approaching with a velocity v_∞ and temperature T = o. The flow around the sphere is in the "creeping flow" regime--that is, with the Reynolds number less than about 0.1. The heat loss from the sphere is described by Eq. 12.4-34. 

(a) Verify that the equation is dimensionally correct. 

(b) Estimate the rate of heat transfer, Q, for the flow around a sphere of diameter 1 min. The fluid is an oil at T_∞ = 50°C moving at a velocity 1.0 cm/sec with respect to the sphere, the surface of which is at a temperature of 100°C. The oil has the following properties: p = 0.9 g/cm³, C_p = 0.45 cal/g ∙ K, k = 3.0 x 10^-4 cal/s ∙ cm ∙ K and µ = 150 cp.