ISSN:
1573-1987
Keywords:
3D-TBL
;
double- and triple-correlations
;
statistical model
;
Monte Carlo method
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Notes:
Abstract A new analysis method is developed to study the double- and triple-correlations of velocity fluctuations inside a stationary three-dimensional turbulent boundary layer (3D-TBL). Experimental eigenvalues and eigenvectors of measured Reynolds stress-tensors are obtained by diagonalization; a set of semi-empirical relationships is derived and these are interpreted (qualitatively) in terms of statistics of gas dynamics. Sample-averaged double- and triple-correlations are Monte Carlp (MC-) simulated, simultaneously, with 3 independent ‘perturbed centered-Gaussians’ (trial probability density functions) along experimental eigenvectors. Comparisons with corresponding time-averaged measurements show excellent agreement for the double-correlations and qualitative agreement for the triple-correlations. Also, a ‘statistical model for the double-correlations’ is presented: it can predict the $$\{ \overline {u^\prime v^\prime } ,\overline {w^\prime v^\prime } \} $$ -profiles inside the “S”-shaped wind tunnel at EPFL, given $$\{ \overline {u^\prime u^\prime } ,\overline {w^\prime w^\prime } ,\overline {v^\prime v^\prime } ,\overline {u^\prime w^\prime } \} $$ .
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01082524
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