In: Mechanical Engineering
Consider a fluid flowing perpendicular and over a long cylindrical body and the free stream velocity described by equation U(x) = 2 Uinf sin (x/R) where R=D/2 is the radius of the cylinder.
For a laminar flow in the boundary layer, calculate the local friction factor and heat transfer coefficient as a function of x using momentum and energy integral equations, beginning at x=0 until separation occurs.
Determine the Nusselt number NUD = hD/k, as a function of phi=x/R, for the Reynolds numbers of ReD = 40,000 , 70,000, 10,000 and 140,000.