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categoryهندسة ميكانيكية schoolبكالوريوس event_available2026-07-13

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Consider the combined gravity-Couette driven flow between two inclined, parallel plates, as depicted in the figure. The lower plate is stationary, while the upper plate moves at constant upward velocity Vtop. The plates are very long and wide and they are separated by a small gap of length h. The fluid has viscosity μ and density p. e тор Figure 3: Inclined gravity and Couette driven flow. (a) What assumptions can be made about this flow scenario? (b) Write the complete Navier-Stokes equations governing this flow, including known Boundary Conditions. (5) (5) (5) (5) (d) Find the solution to this ODE using appropriate Boundary Conditions. (c) Simplify and reduce the governing equations to a second order ordinary differential equation (ODE). Justify your assumptions.

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