Similarity in Free and Bounded Shear Flows

Abstract

This paper presents the results of an experimental investigation on the free and bounded shear flows. The results show that it is possible to obtain similarity of the free and bounded shear flows with appropriate scales. It is shown that there exists a single relation for length scale to result in complete similarity of the free jet field right from the nozzle exit. The length scale proposed is found to be independent of Reynolds and Mach numbers. The similarity profile of free jet exhibits normaldistribution, whereas bounded shear flow follows a fifth order polynomial variation. It is also shown that a pressure scale can be identified to obtain similarity. The proposed similarity scales for free and bounded shear flows are shown to result in similarity for the combination of free and bounded shear flows also.