Consider that you approximate the streamwise velocity profile of a two-dimensional laminar boundary layer with a...

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Consider that you approximate the streamwise velocity profile of a two-dimensional laminar boundary layer with a constant pressure by the cubic polynomial U(x, y) Ue y 3 y = a+b- +c 8(x) where Ue is the constant free stream velocity, a, b, c are constants and 5(x) is the boundary layer thickness (the form of 8(x) is not required for solving this problem). (a) Determine the values of a, b, c that satisfy the boundary conditions; besides the familiar wall and free stream conditions for the velocity, also apply a second free stream condition that the shear stress at the edge between the boundary layer and the free stream vanishes. Consider that you approximate the streamwise velocity profile of a two-dimensional laminar boundary layer with a constant pressure by the cubic polynomial U(x, y) Ue y 3 y = a+b- +c 8(x) where Ue is the constant free stream velocity, a, b, c are constants and 5(x) is the boundary layer thickness (the form of 8(x) is not required for solving this problem). (a) Determine the values of a, b, c that satisfy the boundary conditions; besides the familiar wall and free stream conditions for the velocity, also apply a second free stream condition that the shear stress at the edge between the boundary layer and the free stream vanishes.