Two immiscible, incompressible, viscous fluids with the same densities but different viscosities are contained between two horizontal plates that are infinite in the x, z directions and separated by 2h in the y direction. Each fluid is h tall. The bottom plate is fixed and the top plate moves with velocity Uo in the x direction. Required:
a. Determine the velocity profile and plot it.
b. Determine the shear stress in each fluid and plot i.

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When a vertical beam of light passes through a transparent medium, the rate at which its intensity i decreases is proportional to i(t), where t represents the thickness of the medium (in feet). in clear seawater, the intensity 3 feet below the surface is 25% of the initial intensity i0 of the incident beam. what is the intensity of the beam "10" feet below the surface? (give your answer in terms of i0. round any constants or coefficients to five decimal places.)