Flow through Chamfered Ducts
Consider the fluid flow through a chamfered duct. The flow velocity in the cross section satisfies the equation:[more]
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.[less]