Figure Q4a illustrates a two-dimensional boundary-layer velocity profile over a flat wall. The sketch identifies flow...

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Figure Q4a illustrates a two-dimensional boundary-layer velocity profile over a flat wall. The sketch identifies flow velocities U, i = 1...5 at five successive heights spaced Ay apart and the boundary layer thickness is 8=4.Ay. The dynamic viscosity of the fluid is u. The velocity profile satisfies the differential equation X Assume that the pressure gradient on the right-hand-side of Eq. (1) is Ox aU dy AY Ay 1 U Ox 5 constant. Find the free-stream velocity U, at the edge of the boundary layer by solving the differential equation analytically! U U 5 U3 = K; where K is a (1) Wall Figure Q4a: Two-dimensional boundary-layer velocity profile. Figure Q4a illustrates a two-dimensional boundary-layer velocity profile over a flat wall. The sketch identifies flow velocities U, i = 1...5 at five successive heights spaced Ay apart and the boundary layer thickness is 8=4.Ay. The dynamic viscosity of the fluid is u. The velocity profile satisfies the differential equation X Assume that the pressure gradient on the right-hand-side of Eq. (1) is Ox aU dy AY Ay 1 U Ox 5 constant. Find the free-stream velocity U, at the edge of the boundary layer by solving the differential equation analytically! U U 5 U3 = K; where K is a (1) Wall Figure Q4a: Two-dimensional boundary-layer velocity profile.

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