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This lecture covers the analysis of laminar shear flow between parallel plates for incompressible Newtonian fluids. The presentation includes the derivation of the velocity profile, pressure distribution, and the effects of viscosity on the flow behavior. The lecture also discusses the assumptions made in the analysis and the challenges in solving the nonlinear equations. Various solutions for the velocity profile are presented, emphasizing the downstream components and the dependence on the distance from the wall. The lecture concludes with a detailed examination of the boundary conditions and the implications of slip at the walls.