ABSTRACT
The potential flow of fluids in absence of fluid sink (or source) and fluid influx across the boundary is governed by a special form of Equation. For flow through a cylindrical pipe a boundary condition is that the fluid and the wall have the same normal velocity. Often both the flow and potential boundary conditions occur together, which is called the mixed condition. The velocity potential is a scalar quantity and has one value at any point. For the four-node quadrilateral element there are thus four nodal degrees of freedom. Velocity Potential Solution. shows the problem of uniform fluid flow around a cylinder of unit radius. The computer code FIELD-2D was used to obtain numerical solutions. Solutions for velocity potential are obtained by setting NTYPE = 2 in the code. The velocity potential approach yields the lower bound and the stream function approach the upper bound of the exact velocity.
