A probabilistic interpretation and stochastic particle approximations of the 3-dimensional Navier-Stokes equations

2005 ◽  
Vol 136 (1) ◽  
pp. 102-156 ◽  
Author(s):  
J. Fontbona
2007 ◽  
Vol 6 (4) ◽  
pp. 937-955 ◽  
Author(s):  
P.E. Kloeden ◽  
◽  
José A. Langa ◽  
José Real ◽  
◽  
...  

Author(s):  
Y. Otsuki ◽  
T. Sugimoto ◽  
R. Tanaka ◽  
D. E. Bonn ◽  
V. J. Becker ◽  
...  

Numerical 3-D investigations have been carried out in order to analyze the cooling gas flow pattern inside a turbine blade configuration. The blade is not an actual industrial configuration but is representative for contemporary configurations. The cooling gas enters the serpentine cooling channels through the blade foot. The cooling gas mass flow is divided into two serpentine flows. One covers the front part of the blade and is ejected at the tip, the other serves the rear region and is ejected through a slot in the trailing edge. Internal turbulence promoters are neglected. Boundary conditions typical for front stage blade cooling gas states were chosen. The computations have been performed with the modern CHTFlow computer code, which solves the fully compressible 3-dimensional Navier-Stokes equations. First the influence of the diffusive transport mechanisms is investigated and shown to be quite important. Through comparison of computation in a fixed and rotating frame of reference, the significant influence of rotation is demonstrated.


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