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Drag coefficients, CD, for several bluff and streamline shapes are shown as a function of Reynolds number. The drag force, FD = CDA(rU2/2), depends directly on this quantity.

For the flat plate normal to the flow, CD is independent of Reynolds number over the range shown because flow separation occurs at the sharp corners of the plate. When the plate is oriented parallel to the flow direction the drag coefficient is reduced by more than an order of magnitude and becomes Reynolds number dependent with transition and turbulence causing CD to increase at higher Re.

It is also seen that as a body changes its shape from a circular cross section to an ellipse and then an airfoil the drag coefficient is reduced. Both the circle and the ellipse show a rapid drop in CD at the onset of boundary layer turbulence. Prior to this transition CD is not strongly dependent on the Reynolds number. The airfoil shows a behavior closer to the parallel flat plate.

From: Munson, Young & Okiishi,
"Fundamentals of Fluid Mechanics," Wiley (1998)