scholarly journals An upper bound for passive scalar diffusion in shear flows

2007 ◽  
Vol 19 (6) ◽  
pp. 068104 ◽  
Author(s):  
Chuong V. Tran
2005 ◽  
Vol 206 (2) ◽  
pp. 453-462 ◽  
Author(s):  
Igor Rasin ◽  
Sauro Succi ◽  
Wolfram Miller

2002 ◽  
Vol 116 (18) ◽  
pp. 7787-7794 ◽  
Author(s):  
Youhei Fujitani

Author(s):  
Axel Brandenburg ◽  
Petri J. Käpylä ◽  
Amjed Mohammed

2012 ◽  
Vol 7 (5) ◽  
pp. 363-371
Author(s):  
D. Tcheukam- Toko ◽  
C.A. Koueni-Tok ◽  
R. Mouangue ◽  
P. Paranthoen

2007 ◽  
Vol 572 ◽  
pp. 219-229 ◽  
Author(s):  
J. VANNESTE ◽  
J. G. BYATT-SMITH

The decay of a passive scalar in a sinusoidal shear flow translating in the cross-stream direction at a constant speed u is studied in the limit of small diffusivity κ. The decay rate, obtained by solving an eigenvalue problem, is found to tend to a non-zero constant as κ→0 when u is of order κ1/2. This result, establishing that fast decay is possible in shear flows, is fragile however: because of the existence of pseudomodes, the addition of a small noise leads to decay rates that decrease to zero with κ as κ2/5.


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