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(b) Consider the incompressible flow of a fluid above a smooth flat plate. The local velocity u at a vertical distance y in the turbulent

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(b) Consider the incompressible flow of a fluid above a smooth flat plate. The local velocity u at a vertical distance y in the turbulent boundary layer above the plate can be described by: uu=1+0.22ln(y) where u is the velocity at y= and is the thickness of the laminar sub-layer. In addition, where required, the wall shear stress is denoted by to, the fluid density is denoted by , and the fluid kinematic viscosity is denoted by v. Show that the velocity profile within the boundary layer can be written in the following dimensionless form: where u=5.34+2.55lny u=o/uandy=vyo/ (b) Consider the incompressible flow of a fluid above a smooth flat plate. The local velocity u at a vertical distance y in the turbulent boundary layer above the plate can be described by: uu=1+0.22ln(y) where u is the velocity at y= and is the thickness of the laminar sub-layer. In addition, where required, the wall shear stress is denoted by to, the fluid density is denoted by , and the fluid kinematic viscosity is denoted by v. Show that the velocity profile within the boundary layer can be written in the following dimensionless form: where u=5.34+2.55lny u=o/uandy=vyo/

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