for flow over a circular cylinder as shown below

Question

For flow over a circular cylinder, as shown below, the velocity outside of boundary layer can be estimated to be

U(x) = 2 * U_G, sin (x R) .

One basic assumption is to have the entering fluid temperature at T₀₀ while, the surface temperature remains constant, at T,, . You are to determine the heat transfer coefficient for laminar flow over this cylinder. First, at your discretion, select an available set of experimentally obtained data from the literature. Then, this would provide you with a set of Reynolds numbers. Next, using the integral method, determine the velocity profiles within the boundary layer to be followed by determination of the heat transfer coefficient values for your selected Reynolds numbers.