Fall 2023 Due Date: 08.01.2024 ME 353-Computational HW Part 3 Consider a laminar boundary layer that...

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Fall 2023 Due Date: 08.01.2024 ME 353-Computational HW Part 3 Consider a laminar boundary layer that develops on a flat plate aligned with the flow. Free stream velocity is U, which is in the x direction, kinematic viscosity of the fluid is v, density of the fluid is p. Blasius solution is in the table below. U n = y f f" U 0 0 0 0.3321 0.5 0.0415 0.1659 0.3309 1 0.1656 0.3298 0.323 1.5 0.3701 0.4868 0.3026 2 0.65 0.6298 0.2668 2.5 0.9963 0.7513 0.2174 3 1.3968 0.846 0.1614 3.5 1.8377 0.913 0.1078 4 2.3057 0.9555 0.0642 4.5 2.7901 0.9795 0.034 5 3.2833 0.9915 0.0159 5.5 3.7806 0.9969 0.0066 6 4.2796 0.999 0.0024 6.5 4.7793 0.9997 0.0008 7 7.5 5.7792 5.2792 0.9999 0.0002 1 0.0001 8 6.2792 1 0 Using Blasius solution calculate: a) Boundary layer thickness 8, boundary layer displacement thickness 8* and boundary layer momentum thickness e using their definitions and numerical integration. Show which integration technique that you used. Calculate the estimated integration error. b) Calculate the shear stress, drag force and local friction coefficient. Compare your results with the Table 9.2 in the textbook. c) Plot the velocity and shear stress inside the boundary layer. Fall 2023 Due Date: 08.01.2024 ME 353-Computational HW Part 3 Consider a laminar boundary layer that develops on a flat plate aligned with the flow. Free stream velocity is U, which is in the x direction, kinematic viscosity of the fluid is v, density of the fluid is p. Blasius solution is in the table below. U n = y f f" U 0 0 0 0.3321 0.5 0.0415 0.1659 0.3309 1 0.1656 0.3298 0.323 1.5 0.3701 0.4868 0.3026 2 0.65 0.6298 0.2668 2.5 0.9963 0.7513 0.2174 3 1.3968 0.846 0.1614 3.5 1.8377 0.913 0.1078 4 2.3057 0.9555 0.0642 4.5 2.7901 0.9795 0.034 5 3.2833 0.9915 0.0159 5.5 3.7806 0.9969 0.0066 6 4.2796 0.999 0.0024 6.5 4.7793 0.9997 0.0008 7 7.5 5.7792 5.2792 0.9999 0.0002 1 0.0001 8 6.2792 1 0 Using Blasius solution calculate: a) Boundary layer thickness 8, boundary layer displacement thickness 8* and boundary layer momentum thickness e using their definitions and numerical integration. Show which integration technique that you used. Calculate the estimated integration error. b) Calculate the shear stress, drag force and local friction coefficient. Compare your results with the Table 9.2 in the textbook. c) Plot the velocity and shear stress inside the boundary layer.