Progress on the Calculation of Large-Scale Separation at High Reynolds Numbers

1987 ◽  
pp. 108-158 ◽  
Author(s):  
A. P. Rothmayer ◽  
R. T. Davis

In streamlined flow past a flat plate aligned with a uniform stream, it is shown that ( a ) the Goldstein near-wake and ( b ) the Blasius boundary layer are non-unique solutions locally for the classical boundary layer equations, whereas ( c ) the Rott-Hakkinen very-near-wake appears to be unique. In each of ( a ) and ( b ) an alternative solution exists, which has reversed flow and which apparently cannot be discounted on immediate grounds. So, depending mainly on how the alternatives for ( a ), ( b ) develop downstream, the symmetric flow at high Reynolds numbers could have two, four or more steady forms. Concerning non-streamlined flow, for example past a bluff obstacle, new similarity forms are described for the pressure-free viscous symmetric closure of a predominantly slender long wake beyond a large-scale separation. Features arising include non-uniqueness, singularities and algebraic behaviour, consistent with non-entraining shear layers with algebraic decay. Non-uniqueness also seems possible in reattachment onto a solid surface and for non-symmetric or pressure-controlled flows including the wake of a symmetric cascade.


Science ◽  
2016 ◽  
Vol 351 (6280) ◽  
pp. 1427-1430 ◽  
Author(s):  
H. Hotta ◽  
M. Rempel ◽  
T. Yokoyama

Kolmogorov’s theory of turbulence in an incompressible fluid of constant density at high Reynolds numbers has provided a cornerstone for the interpretation of oceanic spectral measurements of turbulence. The most convincing verification of the theory came from observations by Grant, Stewart and Moilliet under conditions that clearly satisfy the basic premises of the theory, but subsequent measurements have explored the influence of ambient stratification and shear on both the energy and temperature spectra. As the turbulence decays, the larger scales of motion interact more weakly as do internal waves, so that Kolmogorov’s cascade becomes disrupted. It has long been known that the existence of a k -5/3 region in the spectrum does not require local isotropy and it is indicated that the success of Kolmogorov scaling in collapsing measured spectra in the dissipation range, does not require a continuing energy cascade from larger scales. Several questions remain unresolved, particularly the reasons for the shape of temperature spectra that have been measured in turbulence generated by large-scale internal waves in a tidal channel.


2020 ◽  
Vol 888 ◽  
Author(s):  
Jahnavi Kantharaju ◽  
Romain Courtier ◽  
Benjamin Leclaire ◽  
Laurent Jacquin


2012 ◽  
Vol 43 (5) ◽  
pp. 589-613
Author(s):  
Vyacheslav Antonovich Bashkin ◽  
Ivan Vladimirovich Egorov ◽  
Ivan Valeryevich Ezhov ◽  
Sergey Vladimirovich Utyuzhnikov

AIAA Journal ◽  
1999 ◽  
Vol 37 ◽  
pp. 1062-1071 ◽  
Author(s):  
A. Seifert ◽  
L. G. Pack

Sign in / Sign up

Export Citation Format

Share Document