Poloidal impurity asymmetries, flow and transport in conventional neoclassical pedestals in the plateau and banana regimes

Abstract

Charge exchange recombination spectroscopy (CXRS) allows the poloidal variation of the impurity density, temperature, and flow and the poloidal variation to be measured in the pedestal when determining the poloidally varying radial electric field. At present, impurity neoclassical pedestal models avoid the complications of treating finite poloidal gyroradius effects by assuming the impurity charge number is large compared to the main ion charge number. These models are extended slightly by retaining the simplest limit of the impurity radial pressure gradient to demonstrate that no substantial effect occurs due to impurity diamagnetic effects. More importantly, the neoclassical model is significantly extended to obtain a more comprehensive treatment of the main ions in the plateau and banana regimes. A parallel impurity momentum equation is derived that is consistent with previous results in the banana regime and reduces to the proper large aspect ratio form required in the plateau regime. The implications for interpreting the CXRS measurements are discussed by writing all results in terms of the gradient drive and poloidal flow.