Abstract
The physics of charge transport in a bent channel is analyzed using a vorticity transport model for fluid flow to better represent recirculation conditions at corners. The electrostatics is governed by the coupled nonlinear set comprised of the Poisson and current continuity equations. Electrostatic body forces are assumed to have a negligible effect on the flow field. The boundary element method (BEM) is used to solve the vorticity-stream function integral equation formulation for the flow field. Two advantages of this method are no requirement for discretization of the interior, and no need for specification of vorticity boundary conditions. The Poisson equation is also solved using the BEM. Influence coefficient matrices are used to facilitate both reanalysis and rapid calculations of field parameters on a fixed grid. This technique allows desired quantities to be computed by matrix multiplication rather than time-consuming repetitive integrations. The current continuity equation is solved using the method of characteristics. The solution algorithm alternates between the methods for field and source solution. Sample results for full ON and full OFF of the ion current are discussed for both inviscid potential and viscous flows.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
