Asymptotics of steady axisymmetric flow of incompressible fluid past a bluff body at high Reynolds number

1995 ◽  
Vol 30 (1) ◽  
pp. 28-34
Author(s):  
S. I. Chernyshenko
1996 ◽  
Vol 317 ◽  
pp. 155-178 ◽  
Author(s):  
S. I. Chernyshenko ◽  
Ian P. Castro

Stably stratified steady flow past a bluff body in a channel is considered for cases in which the stratification is not sufficiently strong to give solutions containing wave motions. The physical mechanisms by which stratification influences the flow are revealed. In particular, the drag reduction under weak stratification, observed in experiments, is explained. This is achieved by constructing an asymptotic laminar solution for high Reynolds number (Re) and large channel width, which explicitly gives the mechanisms, and using comparisons with numerical results for medium Re and experiments for turbulent flows to argue that these mechanisms are expected to be common in all cases. The results demonstrate the possibility, subject to certain restrictions, of using steady high-Re theory as a tool for studying qualitative features of real flows.


1974 ◽  
Vol 64 (3) ◽  
pp. 589-598 ◽  
Author(s):  
Arnold F. Bertelsen

The steady streaming generated in the boundary layer on a cylinder performing simple harmonic motion in a viscous incompressible fluid which is otherwise at rest is investigated in the case where the Reynolds numberRsassociated with this streaming is large. Comparison is made between experimental results obtained here and the theories of Riley (1965) and Stuart (1966). This comparison shows good agreement between the theories and the experiment close to the cylinder, but away from the cylinder significant discrepancies are observed. Possible reasons for these discrepancies are discussed.


Author(s):  
Virendra Talele ◽  
Mathew V.K. ◽  
Niranjan Sonawane ◽  
Sudarshan Sanap ◽  
Archana Chandak ◽  
...  

1962 ◽  
Vol 13 (1) ◽  
pp. 82-85 ◽  
Author(s):  
A. N. Kolmogorov

The hypotheses concerning the local structure of turbulence at high Reynolds number, developed in the years 1939-41 by myself and Oboukhov (Kolmogorov 1941 a,b,c; Oboukhov 1941 a,b) were based physically on Richardson's idea of the existence in the turbulent flow of vortices on all possible scales l < r < L between the ‘external scales’ L and the ‘internal scale’ l and of a certain uniform mechanism of energy transfer from the coarser-scaled vortices to the finer.


2016 ◽  
Author(s):  
Ahmed Ibrahim ◽  
Chen-Pey Huang ◽  
Richard Korpus ◽  
Charles Dalton

2007 ◽  
Vol 04 (01) ◽  
pp. 1-17 ◽  
Author(s):  
R. DANCHIN

We prove new estimates in Besov spaces [Formula: see text] or [Formula: see text] for transport-diffusion equations. Comparing with previous works, there is no restriction on the index p (hence our estimates apply in Hölder spaces) and the transport vector-field need not be divergence-free. Besides, similar estimates can be proved for the non-stationary Stokes equations with convection. We expect our results to be useful for studying compressible or incompressible fluid mechanics with high Reynolds number.


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