A non-local flow for Riemann surfaces

2007 ◽  
Vol 32 (1) ◽  
pp. 53-80 ◽  
Author(s):  
Matthew J. Gursky
Keyword(s):  
Riemann Surfaces ◽  
Local Flow ◽  
Non Local

A $\operatorname{log}$-type non-local flow of convex curves

2021 ◽  
Vol 29 (5) ◽  
pp. 1157-1182
Author(s):  
Laiyuan Gao ◽  
Shengliang Pan ◽  
Ke Shi
Keyword(s):  
Local Flow ◽  
Convex Curves ◽  
Non Local

Linear amplification factor transport equation for stationary crossflow instabilities in supersonic boundary layers

2020 ◽  
pp. 095441002095499
Author(s):  
Jiakuan Xu
Keyword(s):  
Transport Equation ◽  
Boundary Layers ◽  
Amplification Factor ◽  
Reynolds Numbers ◽  
Linear Stability Theory ◽  
Local Flow ◽  
Flow Parameters ◽  
Compressible Boundary Layers ◽  
Non Local ◽  
Flow Variables

Based on the database from linear stability theory (LST) analysis, a local amplification factor transport equation for stationary crossflow (CF) waves in low-speed boundary layers was developed in 2019. In this paper, the authors try to extend this transport equation to compressible boundary layers based on local flow variables. The similarity equations for compressible boundary layers are introduced to build the function relations between non-local variables and local flow parameters. Then, compressibility corrections are taken into account to modify the source term of the transport equation. Through verifications of different sweep angles, Reynolds numbers, angles of attack, Mach numbers, and different cross-section geometric shapes, the rationality and correctness of the new transport equation established in this paper are illustrated.

scholarly journals Control of the continuity equation with a non local flow

2010 ◽  
Vol 17 (2) ◽  
pp. 353-379 ◽  
Author(s):  
Rinaldo M. Colombo ◽  
Michael Herty ◽  
Magali Mercier
Keyword(s):  
Continuity Equation ◽  
Local Flow ◽  
Non Local

Quantitative analysis of in situ straining experiments in the case of strong frictional forces

1978 ◽  
Vol 36 (1) ◽  
pp. 570-571
Author(s):  
F. Louchet ◽  
L.P. Kubin
Keyword(s):  
Strain Rate ◽  
Radiation Effects ◽  
Dislocation Line ◽  
Critical Length ◽  
Local Strain ◽  
Local Flow ◽  
Double Kink ◽  
Dislocation Densities ◽  
Frictional Forces ◽  
Local Strain Rate

Investigation of frictional forces -Experimental techniques and working conditions in the high voltage electron microscope have already been described (1). Care has been taken in order to minimize both surface and radiation effects under deformation conditions.Dislocation densities and velocities are measured on the records of the deformation. It can be noticed that mobile dislocation densities can be far below the total dislocation density in the operative system. The local strain-rate can be deduced from these measurements. The local flow stresses are deduced from the curvature radii of the dislocations when the local strain-rate reaches the values of ∿ 10-4 s-1.For a straight screw segment of length L moving by double-kink nucleation between two pinning points, the velocity is :where ΔG(τ) is the activation energy and lc the critical length for double-kink nucleation. The term L/lc takes into account the number of simultaneous attempts for double-kink nucleation on the dislocation line.

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