Notes_self_similarity_August2002

Notes_self_similarity_August2002 - Self-Similarity A flow...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Self-Similarity 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 two-dimensional 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 two-dimensional flow field can be re-constructed from the similarity solution. The following is a graphical and mathematical representation of this concept.
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online