Manifolds are designed to deliver fluid through multiple orifices of the
manifold such that for a given inlet fluid pressure the fluid being
output from the multiple orifices has a desired mass flow profile. The
desired mass flow profile includes a desired mass flow rate and a desired
direction and distribution of flow in three-dimensional space. The
manifold is first modeled as a two-dimensional representation to
determine manifold parameters necessary to achieve the desired mass flow
profile within the two dimensions. Then, the manifold is modeled as a
three-dimensional representation based on the parameters previously
determined for the two-dimensional representation to determine manifold
parameters of the third dimension that are necessary to achieve the
desired mass flow profile within the three dimensions.