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The simplified Navier-Stokes equations (in rectangular coordinates) for the given conditions are: P/x = 0 (since the flow is fully developed in the x-direction and
The simplified Navier-Stokes equations (in rectangular coordinates) for the given conditions are: P/x = 0 (since the flow is fully developed in the x-direction and steady-state) /y((vx/y)) = 0 (since the flow is fully developed in the x-direction) (vx/t vxvx/x vyvx/y vzvx/z) = -P/x (vx/y vx/z) gx (x-momentum equation) (vy/t vxvy/x vyvy/y vzvy/z) = (vy/y vy/z) gy (y-momentum equation) (vz/t vxvz/x vyvz/y vzvz/z) = (vz/y vz/z) gz (z-momentum equation) Here, vx is the velocity component in the x-direction, vy is the velocity component in the y-direction, vz is the velocity component in the z-direction, P is the pressure, is the dynamic viscosity of the fluid, is the density of the fluid, g is the acceleration due to gravity, and t is time
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