scholarly journals On Prandtl's turbulence model: Existence of weak solutions to the equations of stationary turbulent pipe-flow

2013 ◽  
Vol 6 (5) ◽  
pp. 1371-1390 ◽  
Author(s):  
Joachim Naumann ◽  
◽  
Jörg Wolf
2009 ◽  
Vol 47 (4) ◽  
pp. 429-437 ◽  
Author(s):  
Alireza Riasi ◽  
Ahmad Nourbakhsh ◽  
Mehrdad Raisee

1989 ◽  
Vol 21 (6-7) ◽  
pp. 435-442 ◽  
Author(s):  
B. Döll

Silica suspensions (pH = 6.8) and three different cationic polymers were used to study the kinetics of charge neutralization by polyelectrolyte adsorption. The experiments were performed in a continuous flow pipe reactor under steady state turbulent flow conditions. The charge neutralization was monitored by electrophoretic mobility (EPM) measurements of the suspended particles as a function of time after polyelectrolyte audition. The results show the dependency of the destabilization reaction rate on flow and polymer characteristics.


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