scholarly journals Collisional rates for the inelastic Maxwell model: application to the divergence of anisotropic high-order velocity moments in the homogeneous cooling state

2012 ◽  
Vol 14 (2) ◽  
pp. 105-110 ◽  
Author(s):  
Andrés Santos ◽  
Vicente Garzó
Keyword(s):  
Maxwell Model ◽  
High Order ◽  
Model Application ◽  
Velocity Moments ◽  
Homogeneous Cooling State

Implicit reduced Vlasov–Fokker–Planck–Maxwell model based on high-order mixed elements

2021 ◽  
Vol 434 ◽  
pp. 110214
Author(s):  
Jan Nikl ◽  
Ilja Göthel ◽  
Milan Kuchařík ◽  
Stefan Weber ◽  
Michael Bussmann
Keyword(s):  
Maxwell Model ◽  
High Order ◽  
Model Based ◽  
Fokker Planck

High-Order Velocity Moments of Turbulent Boundary Layers in Seepage Affected Alluvial Channel

2018 ◽  
Vol 140 (8) ◽  
Author(s):  
Anurag Sharma ◽  
Bimlesh Kumar
Keyword(s):  
Boundary Layer ◽  
Sediment Transport ◽  
Turbulent Boundary Layer ◽  
Seepage Flow ◽  
Streamwise Velocity ◽  
High Order ◽  
Alluvial Channel ◽  
Even Order ◽  
Logarithmic Law ◽  
Velocity Moments

In this work, we have performed the flume study to analyze the high-order velocity moments of turbulent boundary layer with and without downward seepage. Sediment transport experiments were done in the laboratory for no seepage (NS), 10% seepage (10%S), and 15% seepage (15%S) cases. Measures of streamwise velocity variance were found increasing with seepage, which lead to increase in sediment transport with seepage. Results show that the variance of streamwise velocity fluctuation follows logarithmic law with distance away from the bed, within inner layer. This observation is also valid for even-order moments obtained in this work. The results show that the (2p-order moments)1/p also follows logarithmic law. The slopes Ap in the turbulent boundary layer seem fairly unaffected to NS and seepage flow but follows nonuniversal behavior for NS and seepage runs. The computed slope based on the Gaussian statistics does not agree well with the slope obtained from the experimental data and computed slope are reliable with sub-Gaussian performance for NS flow and super-Gaussian behavior for seepage flow.

Determination of the Burgers vector of a dislocation in a Fe-Mn alloy by weak-beam image in HVEM

1978 ◽  
Vol 36 (1) ◽  
pp. 330-331
Author(s):  
Y. Ishida ◽  
H. Ishida ◽  
K. Kohra ◽  
H. Ichinose
Keyword(s):  
High Order ◽  
Simulation Technique ◽  
The Other ◽  
Image Simulation ◽  
Diffraction Vector ◽  
Burgers Vector ◽  
Weak Beam ◽  
Beam Image ◽  
Edge Component

IntroductionA simple and accurate technique to determine the Burgers vector of a dislocation has become feasible with the advent of HVEM. The conventional image vanishing technique(1) using Bragg conditions with the diffraction vector perpendicular to the Burgers vector suffers from various drawbacks; The dislocation image appears even when the g.b = 0 criterion is satisfied, if the edge component of the dislocation is large. On the other hand, the image disappears for certain high order diffractions even when g.b ≠ 0. Furthermore, the determination of the magnitude of the Burgers vector is not easy with the criterion. Recent image simulation technique is free from the ambiguities but require too many parameters for the computation. The weak-beam “fringe counting” technique investigated in the present study is immune from the problems. Even the magnitude of the Burgers vector is determined from the number of the terminating thickness fringes at the exit of the dislocation in wedge shaped foil surfaces.

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