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Mathematics, 07.03.2020 01:41 abelxoconda
Use the Equation of Continuity and the Navier-Stokes Equation to solve this problem. Consider the flow here as fully-developed and it is in its steady state. The gravitational force is in the x direction, so = p β x. A fluid flows in the positive x-direction through a long flat duct of length , width W, and thickness , where β« W β« . The duct has porous walls at y = 0 and y = , so that a constant cross flow can be maintained, with y = 0, a constant, everywhere. Flows of this type are important in connection with separation processes using the sweep-diffusion effect. By carefully controlling the cross flow, one can concentrate the larger constituents (molecules, dust particles, etc.) near the upper wall.
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Use the Equation of Continuity and the Navier-Stokes Equation to solve this problem. Consider the fl...
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