Surface Uniformity

The uniformity of a scalar quantity is computed on a surface as:

Uniformityindex of  ϕ=1f|ϕfϕ¯|Af2|ϕ¯|fAf
(409)

where ϕ¯ is the surface average of ϕ, ϕf is the face value of the selected scalar and Af is the area of a face.

The uniformity index [141] describes the distribution of a certain quantity on a surface. If the quantity is distributed equally, the resulting number is 1. This report is useful in applications where a uniform flow rate is desired across a whole area. Heat exchangers, catalysts, and filters are examples of such applications.

Multiple Parts

When you select multiple parts for this report:

  • The average value ϕ¯ is the collective mean for all the parts—not for each part individually.
  • The Output window reports the uniformity of ϕ for the surfaces of each of the component parts individually, as well as for all parts combined. In all cases, however, the reported values use the collective average of ϕ.

See also the properties of this statistical report.