Limiting Local Current Densities for Electrodes Located on the Walls of a Rectangular Channel with Laminar Flow; Asymptotic Solution and Experimental Verification

1971 ◽  
Vol 118 (6) ◽  
pp. 881 ◽  
Author(s):  
I. Roušar ◽  
J. Hostomsky ◽  
V. Cezner ◽  
B. tverák

The current article dispenses the numerical investigation of a two dimensional unsteady laminar flow of incompressible fluid passing a regular pentagonal obstacle in an open rectangular channel. The centre of attention of this work is the comparison of drag coefficients estimated for two distinct cases based on the orientation of face and corner of an obstacle against the flow direction. The numerical results shows that the corner – oriented obstacle bring about 42% larger value of drag coefficient at Re = 500 than face – oriented obstacle. The substantial growth in the expanse of vortex behind obstacle (presented as a function of fluid inertia 25 < Re < 500) is analyzed through the contours and streamline patterns of velocity field. The two eddies in the downstream become entirely unsymmetrical at Re = 500 for both the cases, whereas; the flow separation phenomena occurs a bit earlier in the face – oriented case at Re = 250. Two dimensional Pressure – Based – Segregated solver is employed to model the governing equations written in velocity and pressure fields. The numerical simulations of unsteady flow are presented for 50 seconds time frame with time step 0.01 by using one of the best available commercial based Computational Fluid Dynamics (CFD) software, ANSYS 15.0.


2015 ◽  
Vol 22 (6) ◽  
pp. 733-744 ◽  
Author(s):  
E. P. Valueva ◽  
M. S. Purdin

2002 ◽  
Vol 16 (13) ◽  
pp. 1787-1805 ◽  
Author(s):  
COLIN BENJAMIN ◽  
A. M. JAYANNAVAR

A multiply connected system in both its open and closed form variations but in equilibrium is studied using quantum waveguide theory. The system exhibits remarkable features, in its open form variation we see current enhancement, hitherto seen only in non-equilibrium systems in absence of magnetic flux. In its closed form analog parity effects are broken. Further we analyse the global and local current densities of our system and also show that the orbital magnetic response of the system calculated from the current densities (and inherently linked to the topological configuration) is qualitatively not same as that calculated from the eigenenergy spectra.


2006 ◽  
Vol 18 (4) ◽  
pp. 044108 ◽  
Author(s):  
A. Gosset ◽  
S. Tavoularis

1989 ◽  
Vol 04 (02) ◽  
pp. 493-493
Author(s):  
YI-HONG CHEN ◽  
FRANK WILCZEK

The fermion current induced by slow variations in background scalar and gauge fields are computed for a class of 2 + 1 dimensional σ-like models. Local current densities proportional to topological currents in the background fields are found. The coefficient depends discontinuously on certain field ratios. The induced fermion numbers we find, mesh nicely with recent results on induced angular momentum and induced statistics. In particular, the spin and statistics is intimately related to the global parity anomaly. Lattice realizations are suggested.


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