Two incompressible viscous fluids flow one on top of the other down aninclined plate at an angle 0. They both have the same density, p, but different viscosities μ₁and μ2. The lower fluid has depth h₁ and the upper h₂. Assuming that viscous forces fromthe surrounding air is negligible and that the pressure on the free surface is atmospheric.Starting from continuity and Navier-Stokes, show that the fluid pressure P(y) =Pa + pg cos(0) (h₁ + h₂ − y)-1sin eShow that the fluid velocity in the bottom layer is vx = [(h₁ + h₂) y — — y²] pg siμεxInclined plateᎾh₁1h₂

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