title: ÐÐ°ÑÐ°Ð¼ÐµÑÑÐ¸ÑÐµÑÐºÐ¸Ðµ ÑÐ°ÑÑÐµÑÑ Ñ Ð°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸Ðº ÑÐµÐ¿Ð»Ð¾Ð¼Ð°ÑÑÐ¾Ð¾Ð±Ð¼ÐµÐ½Ð° Ð² ÑÐ¸Ð³Ð»Ðµ ÑÑÑÐ°Ð½Ð¾Ð²ÐºÐ¸ Ð¼ÐµÑÐ¾Ð´Ð° Ð§Ð¾Ñ ÑÐ°Ð»ÑÑÐºÐ¾Ð³Ð¾ Ð¿ÑÐ¸ Ð²ÑÑÐ°ÑÐ¸Ð²Ð°Ð½Ð¸Ñ ÐºÑÐ¸ÑÑÐ°Ð»Ð»Ð¾Ð² ÐºÑÐµÐ¼Ð½Ð¸Ñ Ð² Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð¼ Ð¿Ð¾Ð»Ðµ CUSP
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: Parametric calculations of heat and mass transfer characteristics in the Czochralski method installation crucible for growing silicon crystals with a magnetic field CUSP
Creators: name: ÐÐ¾Ð»ÑÐ½Ð¸Ð½, ÐÐ»ÐµÐºÑÐ°Ð½Ð´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: Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÐ¹ Ð¼ÐµÑÐ¾Ð´ ÑÐ¾Ñ ÑÐ°Ð»ÑÑÐºÐ¾Ð³Ð¾
Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ðµ Ð¿Ð¾Ð»Ðµ CUSP
ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½ÑÐ¹ ÑÐµÐ¿Ð»Ð¾Ð¼Ð°ÑÑÐ¾Ð¾Ð±Ð¼ÐµÐ½
RANS
magnetic czochralski method
CUSP magnetic field
turbulent heat and mass transfer

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ ÑÐ¾ÑÑÐ¾Ð²ÑÑ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð½Ð° ÐºÐ¾Ð½ÑÐµÐ½ÑÑÐ°ÑÐ¸Ñ ÐºÐ¸ÑÐ»Ð¾ÑÐ¾Ð´Ð° Ð² ÐºÑÐ¸ÑÑÐ°Ð»Ð»Ðµ Ð² ÑÐ¸Ð³Ð»Ðµ ÑÑÑÐ°Ð½Ð¾Ð²ÐºÐ¸ Ð¼ÐµÑÐ¾Ð´Ð° Ð§Ð¾ÑÑÐ°Ð»ÑÑÐºÐ¾Ð³Ð¾ Ð¿ÑÐ¸ Ð²ÑÑÐ°ÑÐ¸Ð²Ð°Ð½Ð¸Ð¸ ÐºÑÐ¸ÑÑÐ°Ð»Ð»Ð¾Ð² ÐºÑÐµÐ¼Ð½Ð¸Ñ Ð² Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð¼ Ð¿Ð¾Ð»Ðµ CUSP. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: 1. ÐÐ¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐ° Ð¾ÑÐµÑÐ¸Ð¼Ð¼ÐµÑÑÐ¸ÑÐ½Ð¾Ð¹ Ð·Ð°Ð´Ð°ÑÐ¸; 2. ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ ÑÐµÑÐ¾ÑÐ½Ð¾Ð¹ ÑÑÐ²ÑÑÐ²Ð¸ÑÐµÐ»ÑÐ½Ð¾ÑÑÐ¸; 3. ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÐ°ÑÑÐµÑÐ¾Ð², Ð° Ð¸Ð¼ÐµÐ½Ð½Ð¾: a. ÐÑÑÐ¸ÑÐ»ÐµÐ½Ð¸Ñ Ð¿ÑÐ¸ ÑÐ°Ð·Ð½Ð¾Ð¹ Ð¸Ð½ÑÐµÐ½ÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ; b. Ð Ð°ÑÑÐµÑÑ Ñ Ð²Ð°ÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Ð¿Ð¾Ð»Ð¾Ð¶ÐµÐ½Ð¸Ñ Ð½ÑÐ»ÐµÐ²Ð¾Ð¹ Ð¿Ð»Ð¾ÑÐºÐ¾ÑÑÐ¸ Ð¿Ð¾Ð»Ñ; c. Ð Ð°ÑÑÐµÑÑ Ð´Ð»Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½Ð¾Ð¹ Ð²ÑÑÐ¾ÑÑ ÑÐ°ÑÐ¿Ð»Ð°Ð²Ð°. Ð Ð°Ð±Ð¾ÑÐ° Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð° Ñ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸ÐµÐ¼ Ð²ÑÑÐ¸ÑÐ»Ð¸ÑÐµÐ»ÑÐ½ÑÑ ÑÑÐµÐ´ÑÑÐ² Ð¸ ÑÐµÑÑÑÑÐ¾Ð² ÐºÐ¾Ð¼Ð¿Ð°Ð½Ð¸Ð¸ ÐÐÐ Â«Ð¡Ð¾ÑÑ-ÐÐ¼Ð¿Ð°ÐºÑÂ». Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð±ÑÐ»Ð¸ Ð¿Ð¾Ð»ÑÑÐµÐ½Ñ Ð´Ð°Ð½Ð½ÑÐµ Ð¾ Ð²Ð»Ð¸ÑÐ½Ð¸Ð¸ ÑÐ¾ÑÑÐ¾Ð²ÑÑ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð½Ð° ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸ ÑÐµÐ¿Ð»Ð¾Ð¼Ð°ÑÑÐ¾Ð¾Ð±Ð¼ÐµÐ½Ð°, Ð° Ð¸Ð¼ÐµÐ½Ð½Ð¾: 1. Ð¡Ð¼ÐµÑÐµÐ½Ð¸Ðµ Ð¿Ð¾Ð»Ð¾Ð¶ÐµÐ½Ð¸Ñ Ð½ÑÐ»ÐµÐ²Ð¾Ð¹ Ð¿Ð»Ð¾ÑÐºÐ¾ÑÑÐ¸ Ð¿Ð¾Ð»Ñ Ð²Ð²ÐµÑÑ Ð¾ÑÐ½Ð¾ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾ ÑÐ²Ð¾Ð±Ð¾Ð´Ð½Ð¾Ð¹ Ð¿Ð¾Ð²ÐµÑÑÐ½Ð¾ÑÑÐ¸, Ð¿ÑÐ¸Ð²Ð¾Ð´Ð¸Ñ Ðº ÑÐ¼ÐµÐ½ÑÑÐµÐ½Ð¸Ñ Ð¼Ð°ÑÑÐ¾Ð²Ð¾Ð¹ Ð´Ð¾Ð»Ð¸ ÐºÐ¸ÑÐ»Ð¾ÑÐ¾Ð´Ð° Ð² ÐºÑÐ¸ÑÑÐ°Ð»Ð»Ðµ; 2. Ð£Ð²ÐµÐ»Ð¸ÑÐµÐ½Ð¸Ðµ Ð²ÐµÐ»Ð¸ÑÐ¸Ð½Ñ Ð¸Ð½Ð´ÑÐºÑÐ¸Ð¸ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ ÑÐ°ÐºÐ¶Ðµ Ð¿ÑÐ¸Ð²Ð¾Ð´Ð¸Ñ Ðº ÑÐ¼ÐµÐ½ÑÑÐµÐ½Ð¸Ñ Ð¼Ð°ÑÑÐ¾Ð²Ð¾Ð¹ Ð´Ð¾Ð»Ð¸ ÐºÐ¸ÑÐ»Ð¾ÑÐ¾Ð´Ð°; 3. ÐÐ·Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ Ð²ÑÑÐ¾ÑÑ ÑÐ°ÑÐ¿Ð»Ð°Ð²Ð° Ð½Ðµ Ð¿ÑÐ¸Ð²Ð¾Ð´Ð¸Ñ Ðº Ð·Ð½Ð°ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾Ð¼Ñ Ð¸Ð·Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ Ð¼Ð°ÑÑÐ¾Ð²Ð¾Ð¹ Ð´Ð¾Ð»Ð¸ ÐºÐ¸ÑÐ»Ð¾ÑÐ¾Ð´Ð°.
description: The thesis speaks about investigation of the growth parameters effect on oxygen concentration in the crystal in relation to Czochralski crystal growth under CUSP magnetic field. The research set the following goals: 1. Setting an axisymmetric problem 2. Investigation of grid sensitivity 3. Conduct parametric calculations, specifically: a. Calculations for different magnetic field strengths; b. Calculations with varying the zero Tesla plane; c. Calculations for different melt heights. The work was carried out with use of computing facilities and resources of Â«Soft-ImpactÂ». As a result, we obtained data on the effect of growth parameters on the characteristics of heat and mass transfer. Specifically, we found that: 1. A displacement of the zero Tesla plane upwards relative to the free surface leads to a decrease in the oxygen mass fraction in the crystal. 2. An increase in magnetic field induction also leads to a decrease in oxygen mass fraction. 3. Changes in melt height do not significantly affect the oxygen mass fraction.