Consider parallel flow over a flat plate for air at 300K and engine oil at 380K. The free stream velocity is u= 2m/s. The temperature difference between the surface and the free stream is the same in both cases, with Ts >Tinfinity.

(a) Determine the location where transition to turbulence occurs, xc, for both fluids.

(b) For laminar flow over a flat plate, the velocity boundary layer thickness is given byRe

Calculate and plot the velocity boundary layer thickness over the range 0 <= x <= xc for each fluid.

(c) Calculate and plot the thermal boundary layer thickness for the two fluids over the same range of x used in part (b). At an x-location where both fluids experience laminar flow conditions, explain which fluid has the largest temperature gradient at the plate surface. Which fluid is associated with the largest local Nusselt number Nu? Which fluid is associated with the largest local heat transfer coefficient h?