Nonlinear Reynolds stress model for turbulent shear flows

Author(s):  
J. BARTON ◽  
R. RUBINSTEIN ◽  
K. KIRTLEY
1977 ◽  
Vol 99 (3) ◽  
pp. 593-595 ◽  
Author(s):  
Ronald M. C. So

In [1] Gessner and Emery proposed a closure scheme for the Reynolds-stress equations such that the resultant equations are algebraic and can be solved for the various stress components for corner flows. This note summarizes the earlier work on such closure models for different kinds of turbulent shear flows which was omitted by Gessner and Emery and comments on the general applicability of the model proposed by Gessner and Emery.


1977 ◽  
Vol 83 (4) ◽  
pp. 673-693 ◽  
Author(s):  
James M. Wallace ◽  
Robert S. Brodkey ◽  
Helmut Eckelmann

It is now well established that coherent structures exist in turbulent shear flows. It should be possible to recognize these in the turbulence signals and to program a computer to extract and ensemble average the corresponding portions of the signals in order to obtain the characteristics of the structures. In this work only the u-signal patterns are recognized, using several simple criteria; simultaneously, however, the v or w signals as well as uv or uw are also processed. It is found that simple signal shapes describe the turbulence structures on the average. The u-signal pattern consists of a gradual deceleration from a local maximum followed by a strong acceleration. This pattern is found in over 65% of the total sample in the region of high Reynolds-stress production. The v signal is found to be approximately 180° out of phase with the u signal. These signal shapes can be easily associated with the coherent structures that have been observed visually. Their details have been enhanced by quadrant truncating. These results are compared with randomly generated signals processed by the same method.


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