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For fully developed laminar incompressible flow through a straight noncircular duct, as in Sec. 6.8, the Navier-Stokes Equation (4.38) reduce to where (y, z) is the plane of the duct cross section and x is along the duct axis. Gravity is neglected. Using a non-square rectangular grid (Δx, Δy), develop a finite-difference model for this equation, and indicate how it may be applied to solve for flow in a rectangular duct of side lengths a and b.

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