This preview shows page 1. Sign up to view the full content.
SelfSimilarity
A flow is said to be self similar if the prevailing velocity profiles at various streamwise stations
x
can be made congruent, through the use of appropriately defined independent and dependent
variables.
The transformation to these variables is called a similarity transformation; the
transformed variables are called similarity variables.
The result is a reduction, by at least one, in
the number of independent variables in the flow.
Thus, a twodimensional flow can be
represented in terms of a single similarity coordinate, i.e., the governing partial differential
equations reduce to ordinary differential equations.
The latter are much more easily solved than
the former.
The entire twodimensional flow field can be reconstructed from the similarity
solution.
The following is a graphical and mathematical representation of this concept.
This is the end of the preview. Sign up
to
access the rest of the document.
 Winter '06
 Ghia

Click to edit the document details