title: ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¿ÐµÑÐµÐ½Ð¾ÑÐ° ÑÐ°ÑÑÐ¸Ñ Ð¿ÑÐ¸ Ð¸Ð½Ð¶ÐµÐºÑÐ¸Ð¸ Ð¼Ð°ÐºÑÐ¾ÑÐ°ÑÑÐ¸ÑÑ Ð² ÐºÐ°Ð¼ÐµÑÑ Ð³ÐµÐ»Ð¸Ð¾ÑÑÐ¾Ð½Ð° LHD
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Study of particle transport during pellet injection in the heliotron LHD chamber
Creators: name: ÐÐ°ÑÐºÐ¸Ð½Ð°, Ð®Ð»Ð¸Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2024
Subjects: Ð¸Ð½Ð¶ÐµÐºÑÐ¸Ñ Ð¼Ð°ÐºÑÐ¾ÑÐ°ÑÑÐ¸ÑÑ
ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÑ Ð¿ÐµÑÐµÐ½Ð¾ÑÐ°
Ð²Ð¾Ð·Ð¼ÑÑÐµÐ½Ð¸Ðµ ÐºÐ¾Ð½ÑÐµÐ½ÑÑÐ°ÑÐ¸Ð¸
Ð´Ð¸ÑÑÑÐ·Ð¸Ñ
pellet injection
transport coefficient
concentration disturbance
diffusion

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¿Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸Ñ Ð¿ÑÐ¾ÑÐ¸Ð»Ñ ÐºÐ¾Ð½ÑÐµÐ½ÑÑÐ°ÑÐ¸Ð¸ ÑÐ°ÑÑÐ¸Ñ Ð² Ð³ÐµÐ»Ð¸Ð¾ÑÑÐ¾Ð½Ðµ LHD Ð¿ÑÐ¸ Ð¸Ð½Ð¶ÐµÐºÑÐ¸Ð¸ Ð¼Ð°ÐºÑÐ¾ÑÐ°ÑÑÐ¸ÑÑ. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼, ÑÐµÐ°Ð»Ð¸Ð·ÑÑÑÐ¸Ð¹ Ð² ÑÑÐµÐ´Ðµ MathCad Ð¼Ð¾Ð´ÐµÐ»Ñ Ð²Ð¾ÑÑÑÐ°Ð½Ð¾Ð²Ð»ÐµÐ½Ð¸Ñ Ð¿ÑÐ¾ÑÐ¸Ð»ÐµÐ¹ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° Ð´Ð¸ÑÑÑÐ·Ð¸Ð¸ D Ð¸ ÐºÐ¾Ð½Ð²ÐµÐºÑÐ¸Ð²Ð½Ð¾Ð¹ ÑÐºÐ¾ÑÐ¾ÑÑÐ¸ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÑÐ²Ð¾Ð»ÑÑÐ¸Ð¸ ÐºÐ¾Ð½ÑÐµÐ½ÑÑÐ°ÑÐ¸Ð¸ ne(r,t) Ñ Ð¿Ð¾Ð³ÑÐµÑÐ½Ð¾ÑÑÑÑ Ð½Ðµ Ð±Ð¾Ð»ÐµÐµ 5%. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð²Ð¾ÑÑÑÐ°Ð½Ð°Ð²Ð»Ð¸Ð²Ð°ÑÑÐ¸Ð¹ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÑ ÑÐ²Ð¾Ð»ÑÑÐ¸Ñ ÐºÐ¾Ð½ÑÐµÐ½ÑÑÐ°ÑÐ¸Ð¸ ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð¾Ð² ne(r,t) Ð¿Ð¾ÑÐ»Ðµ Ð¸Ð½Ð¶ÐµÐºÑÐ¸Ð¸ Ð¿Ð¾Ð»Ð¸ÑÑÐ¸ÑÐ¾Ð»Ð¾Ð²Ð¾Ð¹ Ð¼Ð°ÐºÑÐ¾ÑÐ°ÑÑÐ¸ÑÑ Ð½Ð° Ð³ÐµÐ»Ð¸Ð¾ÑÑÐ¾Ð½Ðµ LHD Ð² ÑÑÐ»Ð¾Ð²Ð¸ÑÑ Ð¾Ð³ÑÐ°Ð½Ð¸ÑÐµÐ½Ð½Ð¾Ð³Ð¾ ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²Ð¾ ÑÐ°Ð´Ð¸ÑÑÐ¾Ð² Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ñ. ÐÐ¾ÐºÐ°Ð·Ð°Ð½Ð¾, ÑÑÐ¾ Ñ 20% ÑÐ¾ÑÐ½Ð¾ÑÑÑÑ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ñ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ D 0.5-1.2 Ð¼2Ñ-1 Ð½ÐµÐ¿Ð»Ð¾ÑÐ¾ ÑÐ»ÐµÐ´ÑÑÑ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ Ð¾Ñ ÐºÐ¾Ð½ÑÐµÐ½ÑÑÐ°ÑÐ¸Ð¸ ne0.54 ÑÐºÐµÐ¹Ð»Ð¸Ð½Ð³Ð° Ð´Ð»Ñ Ð²ÑÐµÐ¼ÐµÐ½Ð¸ ÑÐ´ÐµÑÐ¶Ð°Ð½Ð¸Ñ ÑÐ½ÐµÑÐ³Ð¸Ð¸ Ð² ÑÑÐµÐ»Ð»Ð°ÑÐ°ÑÐ¾ÑÐ°Ñ, Ð° ÑÐ°ÑÐ°ÐºÑÐµÑ ÑÐ²Ð¾Ð»ÑÑÐ¸Ð¸ Ð²Ð¾Ð·Ð¼ÑÑÐµÐ½Ð¸Ñ ÐºÐ¾Ð½ÑÐµÐ½ÑÑÐ°ÑÐ¸Ð¸ Ð¾ÑÑÐ°ÐµÑÑÑ Ð´Ð¸ÑÑÑÐ·Ð¸Ð¾Ð½Ð½ÑÐ¼ Ð½ÐµÑÐ¼Ð¾ÑÑÑ Ð½Ð° Ð½ÐµÐ»Ð¾ÐºÐ°Ð»ÑÐ½Ð¾Ðµ Ð¿Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ Ð²Ð¾Ð·Ð¼ÑÑÐµÐ½Ð¸Ñ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð¾Ð².
description: The work is devoted to studying the behavior of the particle concentration profile in the heliotron LHD during the pellet injection. An algorithm has been developed that implements in the MathCad environment a model for reconstructing the profiles of the diffusion coefficient D and convective velocity using the evolution of the concentration ne(r,t) with an error of no more than 5%. An algorithm has been developed that reconstructs the experimental evolution of the electron concentration ne(r,t) after the injection of a polystyrene pellet at the LHD heliotron under conditions of a limited number of measurement radii. It is shown that, with 20% accuracy, the values of effective D 0.5-1.2Â  m2s-1 follow the concentration dependence ne0.54 of the scaling for the energy confinement time in stellarators, and the nature of the evolution of the concentration perturbation remains the diffusive one despite the nonlocal behavior of the electron temperature perturbation.