A viscous incompressible Newtonian fluid is contained between two fixed parallel plates inclined at.
A viscous incompressible Newtonian fluid is contained between two fixed parallel plates inclined at an angle θ, and the flow is driven by both constant pressure gradient -constant) and gravity. The distance between the two plates is 2H and the chosen system of coordinates is shown in the figure. Assuming steady, 2D, and parallel flow (v = w = 0) and using differential analysis: (a) Show that the flow is fully developed using continuity equation; and (b) Find the velocity profile u(y) in terms of μ.pg, θ, H using Navier-Stokes equations with appropriate boundary conditions. Hint: for fully developed flow du/dx=0 ; and for part (b) write Navier – Stokes equation in x-direction and then apply boundary conditions. Apr 11 2022 08:26 PM
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