Flow through Chamfered Ducts

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Consider the fluid flow through a chamfered duct. The flow velocity in the cross section satisfies the equation:

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The associated boundary conditions are (no slip condition) on the walls of the chamfered duct (colored black in the snapshots). These walls are defined by the implicit equation , where is a parameter that determines the shape of the duct.

This Demonstration uses the finite element method in Mathematica's built-in function NDSolve to display the velocity distribution for values of set by the user.

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Contributed by: Housam Binous, Ahmed Bellagi, and Brian G. Higgins (August 2015)
Open content licensed under CC BY-NC-SA


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