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Aeronautical Engineering approach asymptotic expressions become boundary conditions boundary region boundary sheet boundary-layer approximation boundary-layer equations boundary-layer flow boundary-layer theory boundary-layer thickness boundary-region problems Carrier Cartesian chordwise flow chordwise velocities coefficients considered coordinate system corner curvature curvilinear coordinates decrease direction edge effect edgeo equations of motion exact solution external flow fact finite flat plate form of expansion function given Harry Pollard Howarth incompressible fluid incompressible fluid flowing infinite cylinderso infinite plane integral investigation magnitude argument mathematical Navier-Stokes equations non-linear non-trivial solution satisfying obtained order of magnitude ordinary differential equations parabolas parabolic coordinates parameter polar coordinates Prandtl pressure gradients providing quartic Rayleigh Reference Reynolds Number rotating satisfy the boundary Sears semi-infinite plane shear stress side edge similarity variables skin friction solved Sowerby spanwise flow spanwise velocity steady flow past stream surface symmetry three-dimensional boundary-layer two-dimensional unit length valid velocity components viscous region yawed infinite cylinders zero incidence