For fully developed laminar incompressible fl ow through a straight noncircular duct, as
Chapter 8, Problem p8.110(choose chapter or problem)
For fully developed laminar incompressible fl ow through a straight noncircular duct, as in Sec. 6.8, the Navier-Stokes equations (4.38) reduce to 0 2 u 0y2 1 0 2 u 0z 2 5 1 dp dx 5 const , 0 where (y, z) is the plane of the duct cross section and x is along the duct axis. Gravity is neglected. Using a nonsquare rectangular grid (Dx, Dy), develop a fi nite difference model for this equation, and indicate how it may be applied to solve for fl ow in a rectangular duct of side lengths a and b.
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