3. The Blasius solution to the steady-state two-dimensional incompressible laminar boundary layer equation for uniform flow over a flat surface can be shown to be as follows: 4(x,y) = √vUxf(n) Where x and y are streamwise and wall-normal coordinates, respectively, v is the kinematic viscosity (which is a constant for an incompressible flow), U., is the freestream velocity, 4' is the stream function (which is related to velocity as u = 4/ǝy and v = -ǝч/ǝx in an incompressible flow), u and v are the component of the velocity in x and y directions, respectively, n = is the similarity variable, and f can be found by solving the following y √vx/U∞ ordinary differential equation (ODE): + Boundary conditions: f(0) = f'(0) = 0 and f'(∞) → 1 The solution to this ODE has the following asymptotic forms for small and large values of the similarity variable: {f(n) = 1² f(n) =n-√3 6 for n << 1 for >> 1 a) Using the above results, obtain an expression for the nondimensional surface shear stress, i.e., Tw, in terms of the Reynolds number based on the distance x. (5 points) b) Find the nondimensional vertical component of velocity at y→ ∞, i.e., " boundary layer in terms of the Reynolds number based on the distance x. (5 points) う in the

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