Flow of an incompressible viscous fluid over a flat plate surface results in the development of a region of reduced velocity adjacent to the wetted surface as depicted in the figure. This region of reduced flow is called a boundary layer which is a highly viscous region. At the leading edge of the plate, the velocity profile may be considered uniformly distributed with a value U. Outside the boundary layer, the fluid can be considered as inviscid and velocity component parallel to the plate surface is equal to U. The x-direction velocity profile at section (2) is 1/7 8 = U = Section (1) where y is the normal distance from the flat plate and 8 is the boundary layer thickness at streamwise location x which can be computed as 0.37x [Rex] 0.2 where J U Section (2) Cao Rex = = pUx a) Develop an expression for the volume flowrate per unit spanwise width through the edge of the boundary layer from the leading edge to a location downstream at x. (5 points) Outer edge of boundary layer b) Given the results from part (a), is the boundary layer edge a streamline of the flow field? Explain. (2 points) c) Develop an expression for the skin-friction drag coefficient for the plate, defined as D' 0.5pUx where D' is the drag per unit spanwise width of the plate from the leading edge to a location downstream at x. (8 points)